Twin primes and the parity problem MR Murty, A Vatwani Journal of Number Theory 180, 643-659, 2017 | 21 | 2017 |
The Least Prime Congruent to One Modulo n R Thangadurai, A Vatwani The American Mathematical Monthly 118 (8), 737-742, 2011 | 17 | 2011 |
Bounded gaps between Gaussian primes A Vatwani Journal of Number Theory 171, 449-473, 2017 | 12 | 2017 |
A modular relation involving non-trivial zeros of the Dedekind zeta function, and the generalized Riemann hypothesis A Dixit, S Gupta, A Vatwani Journal of Mathematical Analysis and Applications 515 (2), 126435, 2022 | 9 | 2022 |
A simple proof of the Wiener–Ikehara Tauberian theorem A Vatwani Math. Student 84 (3-4), 127-134, 2015 | 9 | 2015 |
A higher rank Selberg sieve and applications A Vatwani Czechoslovak Mathematical Journal 68 (1), 169-193, 2018 | 8 | 2018 |
A remark on a conjecture of Chowla MR Murty, A Vatwani J. Ramanujan Math. Soc 33 (2), 111-123, 2018 | 7 | 2018 |
A higher rank Selberg sieve with an additive twist and applications MR Murty, A Vatwani Functiones et Approximatio Commentarii Mathematici 57 (2), 151-184, 2017 | 7 | 2017 |
Patterns of primes in Chebotarev sets A Vatwani, PJ Wong International Journal of Number Theory 13 (07), 1651-1677, 2017 | 6 | 2017 |
Joint extreme values of L-functions K Mahatab, Ł Pańkowski, A Vatwani Mathematische Zeitschrift, 1-14, 2022 | 4 | 2022 |
Zeros of Dirichlet polynomials A Roy, A Vatwani Transactions of the American Mathematical Society, 2020 | 4 | 2020 |
Voronoi summation formula for the generalized divisor function A Dixit, B Maji, A Vatwani arXiv preprint arXiv:2303.09937, 2023 | 3 | 2023 |
On generalizations of the Titchmarsh divisor problem A Vatwani, PJ Wong Acta Arithmetica 193, 321-337, 2020 | 2 | 2020 |
Variants of equidistribution in arithmetic progression and the twin prime conjecture A Vatwani Mathematische Zeitschrift 293 (1-2), 285-317, 2019 | 2 | 2019 |
Zeros of partial sums of L-functions A Roy, A Vatwani Advances in Mathematics 346, 467-509, 2019 | 2 | 2019 |
A remark on the Lang-Trotter and Artin conjectures M Murty, A Vatwani Proceedings of the American Mathematical Society 146 (8), 3191-3202, 2018 | 2 | 2018 |
A smooth Selberg sieve and applications M Ram Murty, A Vatwani Geometry, Algebra, Number Theory, and Their Information Technology …, 2018 | 2 | 2018 |
Higher rank sieves and applications A Vatwani | 2 | 2016 |
Riesz-type criteria for L-functions in the Selberg class S Gupta, A Vatwani Canadian Journal of Mathematics, 1-32, 2022 | 1 | 2022 |
An elliptic analogue of a theorem of Hecke MR Murty, A Vatwani The Ramanujan Journal 41 (1-3), 171-182, 2016 | 1 | 2016 |