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
21 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
14 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 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 Error functions, Mordell integrals and an integral analogue of partial theta function A Dixit, A Roy, A Zaharescu
arXiv preprint arXiv:1605.08904, 2016
8 2016 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