New pathways and connections in number theory and analysis motivated by two incorrect claims of Ramanujan BC Berndt, A Dixit, Atul, Roy, Arindam, Zaharescu Advances in Mathematics 304, 809-929, 2017 | 31 | 2017 |
Moments of averages of generalized Ramanujan sums N Robles, A Roy Monatshefte für Mathematik 182, 433-461, 2017 | 22 | 2017 |
Riesz-type criteria and theta transformation analogues A Dixit, A Roy, A Zaharescu Journal of Number Theory 160, 385-408, 2016 | 20 | 2016 |
Twisted second moments of the Riemann zeta-function and applications N Robles, A Roy, A Zaharescu Journal of Mathematical Analysis and Applications 434 (1), 271-314, 2016 | 18 | 2016 |
Ramanujan–Hardy–Littlewood–Riesz phenomena for Hecke forms A Dixit, A Roy, A Zaharescu Journal of Mathematical Analysis and Applications 426 (1), 594-611, 2015 | 17 | 2015 |
Zeros of combinations of the Riemann ξ-function on bounded vertical shifts A Dixit, N Robles, A Roy, A Zaharescu Journal of Number Theory 149, 404-434, 2015 | 16 | 2015 |
Sums of magnetic eigenvalues are maximal on rotationally symmetric domains RS Laugesen, J Liang, A Roy Annales Henri Poincaré 13, 731-750, 2012 | 15 | 2012 |
Koshliakov kernel and identities involving the Riemann zeta function A Dixit, N Robles, A Roy, A Zaharescu Journal of Mathematical Analysis and Applications 435 (2), 1107-1128, 2016 | 11 | 2016 |
Some identities involving convolutions of Dirichlet characters and the Möbius function A Roy, A Zaharescu, M Zaki Proceedings-Mathematical Sciences 126, 21-33, 2016 | 11 | 2016 |
Convexity of quotients of theta functions A Dixit, A Roy, A Zaharescu Journal of Mathematical Analysis and Applications 386 (1), 319-331, 2012 | 10 | 2012 |
Error functions, Mordell integrals and an integral analogue of partial theta function A Dixit, A Roy, A Zaharescu arXiv preprint arXiv:1605.08904, 2016 | 9 | 2016 |
Zeros of partial sums of the Dedekind zeta function of a cyclotomic field A Ledoan, A Roy, A Zaharescu Journal of Number Theory 136, 118-133, 2014 | 9 | 2014 |
On a class of functions that satisfies explicit formulae involving the Möbius function P Kühn, N Robles, A Roy The Ramanujan Journal 38 (2), 383-422, 2015 | 7 | 2015 |
Monotonicity results for Dirichlet L-functions A Dixit, A Roy, A Zaharescu Journal of Mathematical Analysis and Applications 410 (1), 307-315, 2014 | 5 | 2014 |
Zeros of Dirichlet polynomials A Roy, A Vatwani Transactions of the American Mathematical Society 374 (1), 643-661, 2021 | 4 | 2021 |
Analogue of a Fock-type integral arising from electromagnetism and its applications in number theory A Dixit, A Roy Research in the Mathematical Sciences 7, 1-33, 2020 | 3 | 2020 |
Zeros of a family of approximations of Hecke L-functions associated with cusp forms J Li, A Roy, A Zaharescu The Ramanujan Journal 41, 391-419, 2016 | 3 | 2016 |
Unexpected average values of generalized von Mangoldt functions in residue classes N Robles, A Roy Journal of the Australian Mathematical Society 111 (1), 127-144, 2021 | 2 | 2021 |
Zeros of partial sums of L-functions A Roy, A Vatwani Advances in Mathematics 346, 467-509, 2019 | 2 | 2019 |
Smooth distances and zeros of approximations of Dedekind zeta functions J Li, M Nastasescu, A Roy, A Zaharescu manuscripta mathematica 154, 195-223, 2017 | 2 | 2017 |