Université de Montréal - Département de mathématiques et de statistique - Dimitris Koukoulopoulos


Research papers

  1. Beyond the LSD method for the partial sums of multiplicative functions (with A. Granville).
    24 pages, submitted for publication.
  2. Sieve weights and their smoothings (with A. Granville and J. Maynard).
    78 pages, submitted for publication.
  3. The frequency and the structure of large character sums (with J. Bober, L. Goldmakher and A. Granville).
    J. Eur. Math. Soc., 58 pages, accepted for publication.
  4. Sums of Euler products and statistics of elliptic curves (with C. David and E. Smith).
    Math. Ann., 368 (2017), 685-752. DOI: 10.1007/s00208-016-1482-2
  5. Permutations contained in primitive subgroups (with S. Eberhard and K. Ford).
    Discrete Analysis, 2016:12, 34 pp. DOI: 10.19086/da.849
  6. The frequency of elliptic curve groups over prime finite fields (with V. Chandee, C. David and E. Smith).
    Canad. J. Math, 68 (2016), 721-761. DOI: 10.4153/CJM-2015-013-1
  7. Best possible densities, as a consequence of Zhang-Maynard-Tao (with A. Granville, D. M. Kane and R. Lemke Oliver).
    Analytic number theory. In honor of Helmut Maier's 60th birthday. pp. 133-144, Springer, Cham, 2015.
  8. Primes in short arithmetic progressions.
    Int. J. Number Theory, 11 (2015), no. 5, 1499-1521. DOI: 10.1142/S1793042115400035
  9. When the sieve works (with A. Granville and K. Matomäki).
    Duke Math. J., 164 (2015), no. 10, 1935-1969. DOI: 10.4064/aa162-3-2
  10. On the concentration of certain additive functions.
    Acta Arith., 162 (2014), no. 3, 223-241. DOI: 10.4064/aa162-3-2
  11. On the number of integers in a generalized multiplication table.
    J. Reine Angew. Math., 689 (2014), 33-99. DOI: 10.1515/crelle-2012-0064
  12. Group structures of elliptic curves over finite fields (with V. Chandee, C. David and E. Smith).
    Int. Math. Res. Not. IMRN, 2013, 15 pages. DOI: 10.1093/imrn/rnt120
  13. On multiplicative functions which are small on average.
    Geom. Funct. Anal., 23 (2013), no. 5, 1569-1630. DOI: 10.1007/s00039-013-0235-6
  14. Pretentious multiplicative functions and the prime number theorem for arithmetic progressions.
    Compos. Math., 149 (2013), no. 7, 1129-1149. DOI: 10.1112/S0010437X12000802
  15. Divisors of shifted primes.
    Int. Math. Res. Not. IMRN, 2010, no. 24, 4585-4627. DOI: 10.1093/imrn/rnq045
  16. Localized factorizations of integers.
    Proc. London Math. Soc. (3), 101 (2010), no. 2, 392-426. DOI: 10.1112/plms/pdp056
  17. A reciprocity theorem for certain hypergeometric series (with B. C. Berndt).
    Proc. Amer. Math. Soc., 137 (2009), 2369-2373. DOI: 10.1090/S0002-9939-09-09777-9

Expository papers


Ph.D. Thesis


Slides