Sary Drappeau

My research interests lie in analytic number theory in a broad sense.

• « Central values of additive twists of Maaß forms L-functions »
  with Asbjørn Nordentoft
  preprint [arXiv:2208.14346]
• « Exponential sums over integers without large prime divisors »
  with Igor Shparlinski
  accepted, Monatsh. Math. [arXiv:2404.10278]
• « On quantum modular forms of non-zero weights »
  with Sandro Bettin
  accepted, Compos. Math [arXiv:2210.07854]
• « A modular analogue of a problem of Vinogradov »
  with Ratnadeep Acharya, Satadal Ganguly and Olivier Ramaré
  Ramanujan J., 62 (2023), no. 2, 365-382
• « One-level density estimates for Dirichlet L-functions with extended support »
  with Kyle Pratt and Maksym Radziwiłł
  Algebra Number Theory, 17 (2023), no. 4, 805-830
• « Limit laws for rational continued fractions and value distribution of quantum modular forms »
  with Sandro Bettin
  Proc. London Math. Soc., 125 (2022), no. 6, 1377-1425
• « Modularity and value distribution of quantum invariants of hyperbolic knots »
  with Sandro Bettin
  Math. Ann., 382 (2022), no. 3-4, 1631-1679
• « Effective estimation of some oscillatory integrals related to infinitely divisible distributions »
  with Sandro Bettin
  Ramanujan J., 57 (2022), pp. 849-861
• « The first moment of primes in arithmetic progressions: beyond the Siegel-Walfisz range »
  with Daniel Fiorilli
  Trans. London Math. Soc., 8 (2021), no. 1, pp. 174-185
• « Two arithmetic applications of perturbations of composition operators »
  with Sandro Bettin
  J. Anal. Math., 144 (2021), 335-349
• « The Thue-Morse and Rudin-Shapiro sequences at primes in principal number fields »
  with Gautier Hanna
  Acta Math. Hung., 162 (2020), no. 1, pp. 130-186
• « Partial sums of the cotangent function »
  with Sandro Bettin
  J. Théor. Nombres Bordeaux, 32 (2020), no. 1, pp. 217-230
• « Niveau de répartition des polynômes quadratiques et crible majorant pour les entiers friables »
  with Régis de la Bretèche
  J. Eur. Math. Soc., 22 (2020), no. 5, pp. 1577-1624 [English translation of section 8]
• « Combinatorial identities and Titchmarsh's divisor problem for multiplicative functions »
  with Berke Topacogullari
  Algebra Number Theory, 13-10 (2019), 2383-2425
• « Statistical distribution of the Stern sequence »
  with Sandro Bettin and Lukas Spiegelhofer
  Comment. Math. Helv., 94 (2019), no. 2, pp. 241-271
• « Sign changes of Kloosterman sums and exceptional characters »
  with James Maynard
  Proc. Amer. Math Soc., 147 (2019), pp. 77-90
• « Exponential sums with automatic sequences »
  with Clemens Müllner
  Acta Arith., 185 (2018), pp. 81-99
• « Lois de répartition des diviseurs des entiers friables »
  with Gérald Tenenbaum
  Math. Z., 288 (2018), vol. 3-4, pp. 1299-1326
• « Smooth-supported multiplicative functions in arithmetic progressions beyond the x^1/2-barrier »
  with Andrew Granville and Xuancheng Shao
  Mathematika, 63 (2017), vol. 3, pp. 895-918
• « Sums of Kloosterman sums in arithmetic progressions, and the error term in the dispersion method »
  Proc. London Math. Soc., 114 (2017), vol. 4, pp. 684-732
• « On the average distribution of divisors of friable numbers »
  Int. J. Number Theory, 13 (2017), vol. 1, pp. 153-193
• « Remarques sur les moyennes des fonctions de Piltz sur les entiers friables »
  Quart. J. Math. (Oxford), 67 (2016), vol. 4, pp. 507-517
• « Weyls sums, mean-value estimates, and Waring's problem with friable numbers »
  with Xuancheng Shao
  Acta Arith., 176 (2016), pp. 249-299
• « Théorèmes de type Fouvry—Iwaniec pour les entiers friables »
  Compos. Math., 151 (2015), pp. 828-862
• « Sommes friables d'exponentielles et applications »
  Canad. J. Math., 137 (2015), pp. 597-638
• « Propriétés multiplicatives des entiers friables translatés »
  Colloq. Math., 137 (2014), pp. 149-164
• « Sur les solutions friables de l'équation a+b=c »
  Math. Proc. Cambridge Phil. Soc., 154 (2013), pp. 439-463

• Joint seminar Equidistribution in Number Theory (ANR-SNF)
• LMBP number theory seminar

• « Statistical independence and limit laws for some arithmetical objects »
  Habilitation thesis, defended on September 28^th 2023 at Aix-Marseille university.
• « Entiers friables en progressions arithmétiques et applications »
  Ph.D. thesis, under the supervision on Régis de la Bretèche (University Paris Diderot, France), defended November 19^th 2013.
• « Ondelettes : construction et applications »
  Maîtrise dissertation, co-written with Arthur Leclaire under the supervision of Vincent Rivoirard.
• Linnik's « The large sieve » paper