Arindam Roy

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math.NT2024

Non-zero values of a family of approximations of a class of $L$ -functions

Arindam Roy, Kevin You

Consider the approximation $Z ~_{N} (s) = \sum_{n = 1}^{N} n^{- s} + χ (s) \sum_{n = 1}^{N} n^{1 - s}$ of the Riemann zeta function $ζ (s)$ , where $χ (s)$ is the ratio of the gamma functions.…

math.NT2024

End behavior of Ramanujan's taxicab numbers

Brennan Benfield, Oliver Lippard, Arindam Roy

Generalized taxicab numbers are the smallest positive integers that are the sum of exactly $j$ , positive $k$ -th powers in exactly $m$ distinct ways. This paper is considers for whi…

Non-zero values of a family of approximations of a class of L-functions

End behavior of Ramanujan's taxicab numbers

Non-zero values of a family of approximations of a class of $L$ -functions