Siddhi S. Pathak

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20182026

most citedOn a conjecture of Livingston

3 citations · 8 across the 6 of their papers we have counts for

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Showing 2018Show all

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math.NT2018★ 1 cited

Special values of derivatives of $L$ -series and generalized Stieltjes constants

M. Ram Murty, Siddhi Pathak

The connection between derivatives of $L (s, f)$ for periodic arithmetical functions $f$ at $s = 1$ 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 $L (1, f)$ where $f$ 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 $s = 1$ of the $L$ -series attached to a periodic arithmetical function with period $q$ and valu…

Special values of derivatives of L-series and generalized Stieltjes constants

A vanishing criterion for Dirichlet series with periodic coefficients

On a conjecture of Livingston

Special values of derivatives of $L$ -series and generalized Stieltjes constants