| Period functions and cotangent sums S Bettin, J Conrey Algebra & Number Theory 7 (1), 215-242, 2013 | 75 | 2013 |
| A reciprocity formula for a cotangent sum S Bettin, JB Conrey International Mathematics Research Notices 2013 (24), 5709-5726, 2013 | 50 | 2013 |
| The mean square of the product of the Riemann zeta-function with Dirichlet polynomials S Bettin, V Chandee, M Radziwiłł Journal für die reine und angewandte Mathematik (Crelles Journal) 2017 (729 …, 2017 | 47 | 2017 |
| On the distribution of a cotangent sum S Bettin International Mathematics Research Notices 2015 (21), 11419-11432, 2015 | 38 | 2015 |
| Trilinear forms with Kloosterman fractions S Bettin, V Chandee Advances in Mathematics 328, 1234-1262, 2018 | 33 | 2018 |
| A quadratic divisor problem and moments of the Riemann zeta-function S Bettin, HM Bui, X Li, M Radziwiłł preprint, available on arXiv at http://arxiv. org/abs/1609.02539, 2020 | 29* | 2020 |
| On the reciprocity law for the twisted second moment of Dirichlet 𝐿-functions S Bettin Transactions of the American Mathematical Society 368 (10), 6887-6914, 2016 | 25 | 2016 |
| Mixed moments of characteristic polynomials of random unitary matrices EC Bailey, S Bettin, G Blower, JB Conrey, A Prokhorov, MO Rubinstein, ... Journal of Mathematical Physics 60 (8), 2019 | 21 | 2019 |
| Modularity and value distribution of quantum invariants of hyperbolic knots S Bettin, S Drappeau Mathematische Annalen 382 (3), 1631-1679, 2022 | 20 | 2022 |
| High moments of the Estermann function S Bettin Algebra & Number Theory 13 (2), 251-300, 2019 | 18 | 2019 |
| The second moment of the Riemann zeta function with unbounded shifts S Bettin International Journal of Number Theory 6 (08), 1933-1944, 2010 | 18 | 2010 |
| Limit laws for rational continued fractions and value distribution of quantum modular forms S Bettin, S Drappeau Proceedings of the London Mathematical Society 125 (6), 1377-1425, 2022 | 16 | 2022 |
| A generalization of Rademacher’s reciprocity law S Bettin Acta Arithmetica 159 (4), 363-374, 2013 | 16 | 2013 |
| Limit laws for rational continued fractions and value distribution of quantum modular forms S Bettin, S Drappeau arXiv preprint arXiv:1903.00457, 2019 | 15 | 2019 |
| An optimal choice of Dirichlet polynomials for the Nyman-Beurling criterion S Bettin, JB Conrey, DW Farmer arXiv preprint arXiv:1211.5191, 2012 | 15 | 2012 |
| Non-isotrivial elliptic surfaces with non-zero average root number S Bettin, C David, C Delaunay Journal of Number Theory 191, 1-84, 2018 | 14 | 2018 |
| Averages of long Dirichlet polynomials S Bettin, JB Conrey arXiv preprint arXiv:2002.09466, 2020 | 12 | 2020 |
| Partial sums of the cotangent function S Bettin, S Drappeau Journal de théorie des nombres de Bordeaux 32 (1), 217-230, 2020 | 11 | 2020 |
| Greedy approximations by signed harmonic sums and the Thue–Morse sequence S Bettin, G Molteni, C Sanna Advances in Mathematics 366, 107068, 2020 | 10 | 2020 |
| The conjecture implies the Riemann hypothesis S Bettin, SM Gonek Mathematika 63 (1), 29-33, 2017 | 10 | 2017 |
