Period functions and cotangent sums S Bettin, J Conrey Algebra & Number Theory 7 (1), 215-242, 2013 | 55 | 2013 |
On the distribution of a cotangent sum S Bettin International Mathematics Research Notices 2015 (21), 11419-11432, 2015 | 30 | 2015 |
A reciprocity formula for a cotangent sum S Bettin, JB Conrey International Mathematics Research Notices 2013 (24), 5709-5726, 2013 | 30 | 2013 |
Trilinear forms with Kloosterman fractions S Bettin, V Chandee Advances in Mathematics 328, 1234-1262, 2018 | 24 | 2018 |
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 2017 (729), 51-79, 2017 | 23 | 2017 |
The second moment of the Riemann zeta function with unbounded shifts S Bettin International Journal of Number Theory 6 (08), 1933-1944, 2010 | 16 | 2010 |
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 | 14 | 2016 |
A generalization of Rademacher’s reciprocity law S Bettin Acta Arithmetica 159 (4), 363-374, 2013 | 14 | 2013 |
An optimal choice of Dirichlet polynomials for the Nyman-Beurling criterion S Bettin, JB Conrey, DW Farmer arXiv preprint arXiv:1211.5191, 2012 | 11 | 2012 |
Limit laws for rational continued fractions and value distribution of quantum modular forms S Bettin, S Drappeau arXiv preprint arXiv:1903.00457, 2019 | 10 | 2019 |
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), 083509, 2019 | 9 | 2019 |
Non-isotrivial elliptic surfaces with non-zero average root number S Bettin, C David, C Delaunay Journal of Number Theory 191, 1-84, 2018 | 8 | 2018 |
Greedy approximations by signed harmonic sums and the Thue–Morse sequence S Bettin, G Molteni, C Sanna Advances in Mathematics 366, 107068, 2020 | 7 | 2020 |
Families of elliptic curves with non-zero average root number S Bettin, C David, C Delaunay Journal of Number Theory, 2018 | 7 | 2018 |
High moments of the Estermann function S Bettin Algebra & Number Theory 13 (2), 251-300, 2019 | 6 | 2019 |
A quadratic divisor problem and moments of the Riemann zeta-function S Bettin, HM Bui, X Li, M Radziwiłł arXiv preprint arXiv:1609.02539, 2016 | 6 | 2016 |
Limit laws for rational continued fractions and value distribution of quantum modular forms, arXiv e-prints (2019) S Bettin, S Drappeau arXiv preprint arXiv:1903.00457, 0 | 6 | |
A conjectural extension of Hecke’s converse theorem S Bettin, JW Bober, AR Booker, B Conrey, M Lee, G Molteni, T Oliver, ... The Ramanujan Journal 47 (3), 659-684, 2018 | 5 | 2018 |
Small values of signed harmonic sums S Bettin, G Molteni, C Sanna Comptes Rendus Mathematique 356 (11-12), 1062-1074, 2018 | 5 | 2018 |
The conjecture implies the Riemann hypothesis S Bettin, SM Gonek Mathematika 63 (1), 29-33, 2017 | 5 | 2017 |