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# Gauthier, Paul M

Faculty of Arts and Science - Department of Mathematics and Statistics

514 343-6691

### Affiliations

• Membre Centre de recherches mathématiques
• Membre CRM  Centre de recherches mathématiques

### Research area

My research has been in complex analysis and potential theory - mostly approximation by holomorphic or harmonic functions. In recent years, I have been trying to approach the Riemann Hypothesis, using methods of complex approximation rather than number theory. Below, I give a very small sample of some recent articles.

For all my publications, see mathscinet

### Selected publications Expand allCollapse all

#### Mergelyan's theorem with polynomials non-vanishing on unions of sets

Andersson, J. et Gauthier, P. M., Mergelyan's theorem with polynomials non-vanishing on unions of sets 59, 99--109 (2014), , Complex Var. Elliptic Equ.

#### Universally overconvergent power series via the Riemann zeta-function

Gauthier, P. M., Universally overconvergent power series via the Riemann zeta-function 56, 544--550 (2013), , Canad. Math. Bull.

#### On the instability of the Riemann hypothesis for curves over finite fields

Gauthier, P. M.; Tarkhanov, N., On the instability of the Riemann hypothesis for curves over finite fields , (2012), , J. Approx. Theory

#### Approximating functions by the Riemann zeta-function and by polynomials with zero constraints

Gauthier, P.M., Approximating functions by the Riemann zeta-function and by polynomials with zero constraints 12, (2012), Cet article est relié à l'hypothèse de Riemann. , Comput. Methods Funct. Theory

#### Domains of injective holomorphy

Gauthier, P.M.; Nestoridis, V., Domains of injective holomorphy , (2012), , Can. Math. Bull.

#### Zero-free polynomial approximation on a chain of Jordan domains

Gauthier, Paul M. et Knese, Greg, Zero-free polynomial approximation on a chain of Jordan domains 36, 107--112 (2013) (2012), , Ann. Sci. Math. Québec

#### $C^m$-subharmonic extension of Runge type from closed to open subsets of $\Bbb R^N$

Boivin, A., Gauthier, P. M. et Paramonov, P. V., $C^m$-subharmonic extension of Runge type from closed to open subsets of $\Bbb R^N$ 279, 219--226 (2012), , Tr. Mat. Inst. Steklova

#### Approximating all meromorphic functions by linear motions of the Riemann zeta-function

Gauthier, Paul M., Approximating all meromorphic functions by linear motions of the Riemann zeta-function 12, 517--526 (2012), , Comput. Methods Funct. Theory

#### On the instability of the Riemann hypothesis for varieties over finite fields

Donzelli, F. et Gauthier, P. M., On the instability of the Riemann hypothesis for varieties over finite fields 47, 55--66 (2012), , Izv. Nats. Akad. Nauk Armenii Mat.

#### Traces of entire functions on algebraic subvarieties

Donzelli, F. et Gauthier, P. M., Traces of entire functions on algebraic subvarieties 6, 51--62 (2012), , Albanian J. Math.

#### The Landau theorem and Bloch theorem for planar harmonic and pluriharmonic mappings

Chen, Huaihui et Gauthier, Paul M., The Landau theorem and Bloch theorem for planar harmonic and pluriharmonic mappings 139, 583--595 (2011), , Proc. Amer. Math. Soc.

#### Approximation of and by the Riemann zeta-function

Gauthier, Paul M., Approximation of and by the Riemann zeta-function 10, 603--638 (2010), , Comput. Methods Funct. Theory

#### Hartogs' theorem on separate holomorphicity for projective spaces

Gauthier, P. M. et Zeron, E. S., Hartogs' theorem on separate holomorphicity for projective spaces 52, 84--86 (2009), , Canad. Math. Bull.

#### Composition operators on $\mu$-Bloch spaces

Chen, Huaihui et Gauthier, Paul, Composition operators on $\mu$-Bloch spaces 61, 50--75 (2009), , Canad. J. Math.

#### Rational approximation and universality for a quasilinear parabolic equation

Gauthier, P. M. et Tarkhanov, N., Rational approximation and universality for a quasilinear parabolic equation 43, 55--72 (2008), , Izv. Nats. Akad. Nauk Armenii Mat.

#### The FLRW cosmological model revisited: relation of the local time with the local curvature and consequences on the Heisenberg uncertainty principle

Olivi-Tran, N. et Gauthier, Paul M., The FLRW cosmological model revisited: relation of the local time with the local curvature and consequences on the Heisenberg uncertainty principle 2, 267--270 (2008), , Adv. Stud. Theor. Phys.

#### Value distribution of the Riemann zeta function

Ascah-Coallier, I. et Gauthier, P. M., Value distribution of the Riemann zeta function 51, 334--336 (2008), , Canad. Math. Bull.

#### Approximation by translates of Taylor polynomials of the Riemann zeta function

Gauthier, Paul M. et Clouàtre, Raphaël, Approximation by translates of Taylor polynomials of the Riemann zeta function 8, 15--19 (2008), , Comput. Methods Funct. Theory

#### Boundedness from below of composition operators on $\alpha$-Bloch spaces

Chen, Huaihui et Gauthier, Paul, Boundedness from below of composition operators on $\alpha$-Bloch spaces 51, 195--204 (2008), , Canad. Math. Bull.

#### Universal (pluri)subharmonic functions

Gauthier, Paul M. et Pouryayevali, Mohamad R., Universal (pluri)subharmonic functions 27, 273--284 (2007), , Analysis (Munich)

#### Universal overconvergence of homogeneous expansions of harmonic functions

Gauthier, Paul M. et Tamptse, Innocent, Universal overconvergence of homogeneous expansions of harmonic functions 26, 287--293 (2006), , Analysis (Munich)

#### Embedding Stein manifolds and tangential approximation

Gauthier, P. M. et Zeron, E. S., Embedding Stein manifolds and tangential approximation 51, 953--958 (2006), , Complex Var. Elliptic Equ.

#### Approximation by rational mappings, via homotopy theory

Gauthier, P. M. et Zeron, E. S., Approximation by rational mappings, via homotopy theory 49, 237--246 (2006), , Canad. Math. Bull.

#### Simultaneous approximation on two subsets of an open Riemann surface

Boivin, André, Gauthier, Paul M. et Schmieder, Gerald, Simultaneous approximation on two subsets of an open Riemann surface 138, 151--167 (2006), , J. Approx. Theory

#### Covering properties of most entire functions on Stein manifolds

Gauthier, Paul M. et Pouryayevali, Mohamad R., Covering properties of most entire functions on Stein manifolds 5, 223--235 (2005), , Comput. Methods Funct. Theory

#### The existence of universal inner functions on the unit ball of $\Bbb C^n$

Gauthier, P. M. et Xiao, J., The existence of universal inner functions on the unit ball of $\Bbb C^n$ 48, 409--413 (2005), , Canad. Math. Bull.

#### Alice in Switzerland: the life and mathematics of Alice Roth

Daepp, Ulrich, Gauthier, Paul, Gorkin, Pamela et Schmieder, Gerald, Alice in Switzerland: the life and mathematics of Alice Roth 27, 41--54 (2005), , Math. Intelligencer

#### Approximation by the Riemann zeta-function

Gauthier, P. M. et Tarkhanov, N., Approximation by the Riemann zeta-function 50, 211--215 (2005), , Complex Var. Theory Appl.

#### Small perturbations of the Riemann zeta function and their zeros

Gauthier, Paul M. et Zeron, Eduardo S., Small perturbations of the Riemann zeta function and their zeros 4, 143--150 (2004), , Comput. Methods Funct. Theory

#### On uniform approximation by $n$-analytic functions on closed sets in $\Bbb C$

Buave, A., Gauthier, P. M. et Paramonov, P. V., On uniform approximation by $n$-analytic functions on closed sets in $\Bbb C$ 68, 15--28 (2004), , Izv. Ross. Akad. Nauk Ser. Mat.

#### Harmonic approximation on compact sets

Bagby, Thomas et Gauthier, Paul M., Harmonic approximation on compact sets 3, 349--358 (2003), , Comput. Methods Funct. Theory

#### Cercles de remplissage for the Riemann zeta function

Gauthier, P. M., Cercles de remplissage for the Riemann zeta function 46, 95--97 (2003), , Canad. Math. Bull.

#### Approximation on closed sets by analytic or meromorphic solutions of elliptic equations and applications

Boivin, André, Gauthier, Paul M. et Paramonov, Petr V., Approximation on closed sets by analytic or meromorphic solutions of elliptic equations and applications 54, 945--969 (2002), , Canad. J. Math.

#### BiBloch-type maps: existence and beyond

Gauthier, Paul M. et Xiao, Jie, BiBloch-type maps: existence and beyond 47, 667--678 (2002), , Complex Var. Theory Appl.

#### Approximation on arcs and dendrites going to infinity in $\Bbb C^n$

Gauthier, P. M. et Zeron, E. S., Approximation on arcs and dendrites going to infinity in $\Bbb C^n$ 45, 80--85 (2002), , Canad. Math. Bull.

#### Tangential approximation and universality

Gauthier, P. M., Tangential approximation and universality 36, 38--48 (2002) (2001), , Izv. Nats. Akad. Nauk Armenii Mat.

#### Approximation by meromorphic functions with Mittag-Leffler type constraints

Gauthier, P. M. et Pouryayevali, M. R., Approximation by meromorphic functions with Mittag-Leffler type constraints 44, 420--428 (2001), , Canad. Math. Bull.

#### Bloch constants in several variables

Chen, Huaihui et Gauthier, P. M., Bloch constants in several variables 353, 1371--1386 (2001), , Trans. Amer. Math. Soc.

#### Bloch constants for planar harmonic mappings

Chen, Huaihui, Gauthier, P. M. et Hengartner, W., Bloch constants for planar harmonic mappings 128, 3231--3240 (2000), , Proc. Amer. Math. Soc.

#### Functions of bounded expansion: normal and Bloch functions

Gauthier, P. M. et Xiao, J., Functions of bounded expansion: normal and Bloch functions 66, 168--188 (1999), , J. Austral. Math. Soc. Ser. A

#### Carleman approximation on products of Riemann surfaces

Chacrone, Seddik, Gauthier, Paul M. et Nersessian, Ashot H., Carleman approximation on products of Riemann surfaces 37, 97--111 (1998), , Complex Variables Theory Appl.

#### Note on the support of Sobolev functions

Bagby, Thomas et Gauthier, P. M., Note on the support of Sobolev functions 41, 257--260 (1998), , Canad. Math. Bull.

#### Mittag-Leffler theorems on Riemann surfaces and Riemannian manifolds

Gauthier, Paul M., Mittag-Leffler theorems on Riemann surfaces and Riemannian manifolds 50, 547--562 (1998), , Canad. J. Math.

#### Normal functions: $L^p$ estimates

Chen, Huaihui et Gauthier, Paul M., Normal functions: $L^p$ estimates 49, 55--73 (1997), , Canad. J. Math.

#### On Bloch's constant

Chen, Huaihui et Gauthier, Paul M., On Bloch's constant 69, 275--291 (1996), , J. Anal. Math.

#### On strongly normal functions

Chen, Huaihui et Gauthier, Paul M., On strongly normal functions 39, 408--419 (1996), , Canad. Math. Bull.

#### Recent developments in harmonic approximation, with applications

Armitage, D. H. et Gauthier, P. M., Recent developments in harmonic approximation, with applications 29, 1--15 (1996), , Results Math.

#### Propagation of smallness and the uniqueness of harmonic and holomorphic functions

Arakelyan, N. U. et Gauthier, P. M., Propagation of smallness and the uniqueness of harmonic and holomorphic functions 30, 2--28 (1995), , Izv. Nats. Akad. Nauk Armenii Mat.

#### Superharmonic approximation on a closed set

Bensuda, Ch. et Gauthier, P. M., Superharmonic approximation on a closed set 29, 17--32 (1996) (1994), , Izv. Nats. Akad. Nauk Armenii Mat.

#### Fusion of two solutions of a partial differential equation

Blanchet, Pierre et Gauthier, Paul M., Fusion of two solutions of a partial differential equation 1, 371--384 (1994), , Methods Appl. Anal.

#### Subharmonic extensions and approximations

Gauthier, P. M., Subharmonic extensions and approximations 37, 46--53 (1994), , Canad. Math. Bull.

#### Best uniform approximation by harmonic functions on subsets of Riemannian manifolds

Gauthier, P. M. et Zwick, D., Best uniform approximation by harmonic functions on subsets of Riemannian manifolds 10, 77--85 (1994), , Constr. Approx.

#### Best uniform approximation by solutions of elliptic differential equations

Gauthier, P. M. et Zwick, D., Best uniform approximation by solutions of elliptic differential equations 342, 359--374 (1994), , Trans. Amer. Math. Soc.

#### Approximation by harmonic functions in $C^1$-norm, and the harmonic $C^1$-width of compact sets in ${\bf R}^n$

Gauthier, P. M. et Paramonov, P. V., Approximation by harmonic functions in $C^1$-norm, and the harmonic $C^1$-width of compact sets in ${\bf R}^n$ 53, 21--30, 156 (1993), , Mat. Zametki

#### Harmonic approximation on arcs

Bagby, Thomas, Cornea, Aurel et Gauthier, P. M., Harmonic approximation on arcs 9, 501--507 (1993), , Constr. Approx.

#### Degenerate cases of uniform approximation by solutions of systems with surjective symbols

Gauthier, P. M. et Tarkhanov, N. N., Degenerate cases of uniform approximation by solutions of systems with surjective symbols 45, 740--757 (1993), , Canad. J. Math.

#### Uniform approximation and fine potential theory

Gauthier, P. M. et Ladouceur, S., Uniform approximation and fine potential theory 72, 138--140 (1993), , J. Approx. Theory

#### Approximation by (pluri)subharmonic functions: fusion and localization

Gauthier, P. M., Approximation by (pluri)subharmonic functions: fusion and localization 44, 941--950 (1992), , Canad. J. Math.

#### A maximum principle for subharmonic and plurisubharmonic functions

Huaihui, Chen et Gauthier, P. M., A maximum principle for subharmonic and plurisubharmonic functions 35, 34--39 (1992), , Canad. Math. Bull.

#### Polynomial approximation on certain Lipschitz graphs in ${\bf C}^n$

Frih, El Mostapha et Gauthier, Paul M., Polynomial approximation on certain Lipschitz graphs in ${\bf C}^n$ 18, 55--61 (1992), , Complex Variables Theory Appl.

#### An arc of finite $2$-measure that is not rationally convex

Bagby, Thomas et Gauthier, P. M., An arc of finite $2$-measure that is not rationally convex 114, 1033--1034 (1992), , Proc. Amer. Math. Soc.

#### Global holomorphic approximation on the product of curves in ${\bf C}^n$

Frih, El Mostapha et Gauthier, Paul M., Global holomorphic approximation on the product of curves in ${\bf C}^n$ 34, 220--223 (1991), , Canad. Math. Bull.

#### A problem of Rubel concerning approximation on unbounded sets by entire functions

Gauthier, P. M., Hengartner, W. et Stray, A., A problem of Rubel concerning approximation on unbounded sets by entire functions 19, 127--135 (1989), , Rocky Mountain J. Math.

#### Approximation of a function and its derivatives by entire functions of several variables

Frih, El Mostapha et Gauthier, Paul M., Approximation of a function and its derivatives by entire functions of several variables 31, 495--499 (1988), , Canad. Math. Bull.

#### Approximation by harmonic functions on closed subsets of Riemann surfaces

Bagby, Thomas et Gauthier, P. M., Approximation by harmonic functions on closed subsets of Riemann surfaces 51, 259--284 (1988), , J. Analyse Math.

#### Asymptotic maximum principles for subharmonic and plurisubharmonic functions

Gauthier, P. M., Grothmann, R. et Hengartner, W., Asymptotic maximum principles for subharmonic and plurisubharmonic functions 40, 477--486 (1988), , Canad. J. Math.

#### Approximation uniforme par des fonctions harmoniques avec singularités

Boivin, A., Gauthier, P. M. et Hengartner, W., Approximation uniforme par des fonctions harmoniques avec singularités 31(79), 3--8 (1987), , Bull. Math. Soc. Sci. Math. R. S. Roumanie (N.S.)

#### Uniform approximation on closed sets by solutions of elliptic partial differential equations

Dufresnoy, A., Gauthier, P. M. et Ow, W. H., Uniform approximation on closed sets by solutions of elliptic partial differential equations 6, 235--247 (1986), , Complex Variables Theory Appl.

#### Global holomorphic approximations of CR functions on CR manifolds

Dwilewicz, Roman et Gauthier, P. M., Global holomorphic approximations of CR functions on CR manifolds 4, 377--391 (1985), , Complex Variables Theory Appl.

#### Some properties of Baouendi-Trèves type approximations of Cauchy-Riemann functions

Dwilewicz, Roman et Gauthier, P. M., Some properties of Baouendi-Trèves type approximations of Cauchy-Riemann functions 4, 355--376 (1985), , Complex Variables Theory Appl.

#### Note on the decay of solutions of elliptic equations

Armitage, D. H., Bagby, Thomas et Gauthier, P. M., Note on the decay of solutions of elliptic equations 17, 554--556 (1985), , Bull. London Math. Soc.

#### Remarks on a theorem of Keldysh and Lavrent'ev

Gauthier, P. M., Remarks on a theorem of Keldysh and Lavrent'ev 40, 157--158 (1985), , Uspekhi Mat. Nauk

#### Approximation harmonique sur les surfaces de Riemann

Boivin, A. et Gauthier, P. M., Approximation harmonique sur les surfaces de Riemann 36, 1--8 (1984), , Canad. J. Math.

#### Uniform approximation on closed sets by harmonic functions with Newtonian singularities

Gauthier, P. M., Goldstein, M. et Ow, W. H., Uniform approximation on closed sets by harmonic functions with Newtonian singularities 28, 71--82 (1983), , J. London Math. Soc. (2)

#### On tangential approximation by holomorphic functions

Arakelian, N. U. et Gauthier, P. M., On tangential approximation by holomorphic functions 17, 421--441, 501 (1982), , Izv. Akad. Nauk Armyan. SSR Ser. Mat.

#### Approximation harmonique, approximation holomorphe et topologie

Gauthier, P. M., Hengartner, W. et Labrèche, M., Approximation harmonique, approximation holomorphe et topologie 34, 216--219 (1982), , Canad. J. Math.

#### Approximation uniforme qualitative sur des ensembles non bornés

Gauthier, Paul M. and Hengartner, Walter, Approximation uniforme qualitative sur des ensembles non bornés , 89 (1982), , Presses de l'Université de Montréal, Montréal, Que.

#### Uniform approximation on unbounded sets by harmonic functions with logarithmic singularities

Gauthier, P. M., Goldstein, M. et Ow, W. H., Uniform approximation on unbounded sets by harmonic functions with logarithmic singularities 261, 169--183 (1980), , Trans. Amer. Math. Soc.

#### Approximation uniforme sur des parties non bornées par des fonctions essentiellement harmoniques

Gauthier, P. M., Goldstein, M. et Ow, W. H., Approximation uniforme sur des parties non bornées par des fonctions essentiellement harmoniques 64, 80--82 (1978), , Acad. Roy. Belg. Bull. Cl. Sci. (5)

#### Complex approximation and simultaneous interpolation on closed sets

Gauthier, P. M. et Hengartner, W., Complex approximation and simultaneous interpolation on closed sets 29, 701--706 (1977), , Canad. J. Math.

#### From local to global properties of subharmonic functions on Green spaces

Gauthier, P. M. et Goldstein, Myron, From local to global properties of subharmonic functions on Green spaces 16, 458--466 (1977), , J. London Math. Soc. (2)

#### Holomorphic functionals on open Riemann surfaces

Gauthier, P. M. et Rubel, L. A., Holomorphic functionals on open Riemann surfaces 28, 885--888 (1976), , Canad. J. Math.

#### Possibility of uniform rational approximation in the spherical metric

Gauthier, P. M., Roth, A. et Walsh, J. L., Possibility of uniform rational approximation in the spherical metric 28, 112--115 (1976), , Canad. J. Math.

#### The distribution of cercles de remplissage for functions having spiral asymptotic values

Gauthier, P. M. et Hwang, J. S., The distribution of cercles de remplissage for functions having spiral asymptotic values 16, 653--664 (1976), , J. Math. Kyoto Univ.

#### The set of Julia points for functions omitting two values

Gauthier, P. M. et Hwang, J. S., The set of Julia points for functions omitting two values 19, 441--443 (1976), , Canad. Math. Bull.

#### Asymptotic values along Julia rays

Gauthier, P. M. et Hwang, J. S., Asymptotic values along Julia rays 28, 1210--1215 (1976), , Canad. J. Math.

#### Possibility of complex asymptotic approximation on closed sets

Brown, Leon, Gauthier, P. M. et Seidel, W., Possibility of complex asymptotic approximation on closed sets 218, 1--8 (1975), , Math. Ann.

#### Équidistribution des valeurs d'une application holomorphe générique à valeurs dans l'espace projectif

Gauthier, P. M., Équidistribution des valeurs d'une application holomorphe générique à valeurs dans l'espace projectif 27, 1323--1328 (1975), , Canad. J. Math.

#### Interpolation in separable Fréchet spaces with applications to spaces of analytic functions

Gauthier, Paul M. et Rubel, Lee A., Interpolation in separable Fréchet spaces with applications to spaces of analytic functions 27, 1110--1113 (1976) (1975), , Canad. J. Math.

#### Most power series have radius of convergence $0$ or $1$

Fournier, J. J. F. et Gauthier, P. M., Most power series have radius of convergence $0$ or $1$ 18, 39--40 (1975), , Canad. Math. Bull.

#### Continuous boundary behaviour for functions defined in the open unit disc

Brown, Leon, Hengartner, Walter et Gauthier, P. M., Continuous boundary behaviour for functions defined in the open unit disc 57, 49--58 (1975), , Nagoya Math. J.

#### Équidistribution des valeurs d'une fonction analytique générique sur un espace de Stein

Brown, Léon et Gauthier, P. M., Équidistribution des valeurs d'une fonction analytique générique sur un espace de Stein 20, 205--214 (1974), , Enseignement Math. (2)

#### Complex approximation for vector-valued functions with an application to boundary behaviour

Brown, Leon, Gauthier, P. M. et Seidel, W., Complex approximation for vector-valued functions with an application to boundary behaviour 191, 149--163 (1974), , Trans. Amer. Math. Soc.

#### Problème de surjectivité des applications holomorphes

Gauthier, P. M. et Ngô van Què, Problème de surjectivité des applications holomorphes 27, 555--559 (1974) (1973), , Ann. Scuola Norm. Sup. Pisa (3)

#### Approximation sur les fermés par des fonctions analytiques sur une surface de Riemann

Gauthier, P. M. et Hengartner, W., Approximation sur les fermés par des fonctions analytiques sur une surface de Riemann 26, 731--732 (1973), , C. R. Acad. Bulgare Sci.

#### Local harmonic majorants of functions subharmonic in the unit disc

Gauthier, P. M. et Hengartner, Walter, Local harmonic majorants of functions subharmonic in the unit disc 26, 405--412 (1973), , J. Analyse Math.

#### The local range set of a meromorphic function

Brown, Leon et Gauthier, P. M., The local range set of a meromorphic function 41, 518--524 (1973), , Proc. Amer. Math. Soc.

#### The value distribution of most functions of one or several complex variables

Gauthier, P. M. et Hengartner, Walter, The value distribution of most functions of one or several complex variables 96, 31--52 (1972), , Ann. of Math. (2)

#### Some applications of Arakélian's approximation theorems to the theory of cluster sets

Gauthier, P. et Seidel, W., Some applications of Arakélian's approximation theorems to the theory of cluster sets 6, 458--464 (1971), , Izv. Akad. Nauk Armjan. SSR Ser. Mat.

#### Behavior of normal meromorphic functions on the maximal ideal space of $H^{\infty }$

Brown, Leon et Gauthier, P. M., Behavior of normal meromorphic functions on the maximal ideal space of $H^{\infty }$ 18, 365--371 (1971), , Michigan Math. J.

#### The range set of a meromorphic function---A topological approach

Brown, Leon et Gauthier, P. M., The range set of a meromorphic function---A topological approach 3, 665--671 (1971), , J. London Math. Soc. (2)

#### Unbounded holomorphic functions bounded on a spiral

Gauthier, Paul M., Unbounded holomorphic functions bounded on a spiral 114, 278--280 (1970), , Math. Z.

#### The maximum modulus of normal meromorphic functions and applications to value distribution

Gauthier, Paul, The maximum modulus of normal meromorphic functions and applications to value distribution 22, 803--814 (1970), , Canad. J. Math.

#### Cercles de remplissage and asymptotic behaviour along circuitous paths

Gauthier, P. M., Cercles de remplissage and asymptotic behaviour along circuitous paths 22, 389--393 (1970), , Canad. J. Math.

#### Tangential approximation by entire functions and functions holomorphic in a disc

Gauthier, P., Tangential approximation by entire functions and functions holomorphic in a disc 4, 319--326 (1969), , Izv. Akad. Nauk Armjan. SSR Ser. Mat.

#### Cluster sets on a Banach algebra of non-tangential curves

Brown, Leon et Gauthier, Paul, Cluster sets on a Banach algebra of non-tangential curves 460, 4 (1969), , Ann. Acad. Sci. Fenn. Ser. A I No.

#### Cercles de remplissage and asymptotic behaviour

Gauthier, Paul, Cercles de remplissage and asymptotic behaviour 21, 447--455 (1969), , Canad. J. Math.

#### The non-Plessner points for the Schwarz triangle functions

Gauthier, Paul, The non-Plessner points for the Schwarz triangle functions 422, 6 (1968), , Ann. Acad. Sci. Fenn. Ser. A I No.

#### A criterion for normalcy

Gauthier, Paul, A criterion for normalcy 32, 277--282 (1968), , Nagoya Math. J.