15 citations · 58 across the 22 of their papers we have counts for
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Special values of derivatives of -series and generalized Stieltjes constants
M. Ram Murty, Siddhi Pathak
The connection between derivatives of for periodic arithmetical functions at and generalized Stieltjes constants has been noted earlier. In this paper, we utiliz…
A vanishing criterion for Dirichlet series with periodic coefficients
Tapas Chatterjee, M. Ram Murty, Siddhi Pathak
We address the question of non-vanishing of where is an algebraic-valued, periodic arithmetical function. We do this by characterizing algebraic-valued, periodic funct…
Transcendental sums related to the zeros of zeta functions
Sanoli Gun, M. Ram Murty, Purusottam Rath
While the distribution of the non-trivial zeros of the Riemann zeta function constitutes a central theme in Mathematics, nothing is known about the algebraic nature of these non-tr…
Simultaneous non-vanishing and sign changes of Fourier coefficients of modular forms
Moni Kumari, M. Ram Murty
In this article, we give some results on simultaneous non-vanishing and simultaneous sign-changes for the Fourier coefficients of two modular forms. More precisely, given two modul…