3 citations · 8 across the 6 of their papers we have counts for
Showing 2018 · math.NTShow all
3 papers · 2 filters
math.NT2018★ 1 cited
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…
math.NT2018★ 2 cited
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…
math.NT2018★ 3 cited
On a conjecture of Livingston
Siddhi Pathak
In an attempt to resolve a folklore conjecture of Erdős regarding the non-vanishing at of the -series attached to a periodic arithmetical function with period and valu…