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


Research papers

  1. Equal sums in random sets and the concentration of divisors (with K. Ford and B. Green).
    Preprint, 88 pages, submitted for publication.
  2. On the Duffin-Schaeffer conjecture (with J. Maynard).
    Ann. of Math., 46 pages, to appear.
  3. Sieve weights and their smoothings (with A. Granville and J. Maynard).
    Ann. Sci. Éc. Norm. Supér., 85 pages, to appear.
  4. The structure of multiplicative functions with small partial sums (with K. Soundararajan).
    Discrete Anal., 2020:6, 19 pp.
  5. Beyond the LSD method for the partial sums of multiplicative functions (with A. Granville).
    Ramanujan J. 49 (2019), no. 2, 287–319. DOI: 10.1007/s11139-018-0119-3
  6. The frequency and the structure of large character sums (with J. Bober, L. Goldmakher and A. Granville).
    J. Eur. Math. Soc. (JEMS) 20 (2018), no. 7, 1759-1818. DOI: 10.4171/JEMS/799
  7. 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
  8. Permutations contained in primitive subgroups (with S. Eberhard and K. Ford).
    Discrete Anal., 2016:12, 34 pp. DOI: 10.19086/da.849
  9. The frequency of elliptic curve groups over prime finite fields (with V. Chandee, C. David and E. Smith).
    Canad. J. Math, 68 (2016), no. 4, 721-761. DOI: 10.4153/CJM-2015-013-1
  10. 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.
  11. Primes in short arithmetic progressions.
    Int. J. Number Theory, 11 (2015), no. 5, 1499-1521. DOI: 10.1142/S1793042115400035
  12. 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
  13. On the concentration of certain additive functions.
    Acta Arith., 162 (2014), no. 3, 223-241. DOI: 10.4064/aa162-3-2
  14. On the number of integers in a generalized multiplication table.
    J. Reine Angew. Math., 689 (2014), 33-99. DOI: 10.1515/crelle-2012-0064
  15. 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
  16. On multiplicative functions which are small on average.
    Geom. Funct. Anal., 23 (2013), no. 5, 1569-1630. DOI: 10.1007/s00039-013-0235-6
  17. Pretentious multiplicative functions and the prime number theorem for arithmetic progressions.
    Compos. Math., 149 (2013), no. 7, 1129-1149. DOI: 10.1112/S0010437X12000802
  18. Divisors of shifted primes.
    Int. Math. Res. Not. IMRN, 2010, no. 24, 4585-4627. DOI: 10.1093/imrn/rnq045
  19. Localized factorizations of integers.
    Proc. London Math. Soc. (3), 101 (2010), no. 2, 392-426. DOI: 10.1112/plms/pdp056
  20. 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

Books


Expository papers


Ph.D. Thesis


Slides