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arXiv · 1611.08693

An analogue of Wilton's formula and values of Dedekind zeta functions

Soumyarup Banerjee·Kalyan Chakraborty·Azizul Hoque
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Abstract

J. R. Wilton obtained an expression for the product of two Riemann zeta functions. This expression played a crucial role to find the approximate functional equation for the product of two Riemann zeta functions in the critical region. We find analogous expressions for the product of two Dedekind zeta functions and then use these expressions to find some expressions for Dedekind zeta values attached to arbitrary real as well as quadratic number fields at any positive integer.

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Soumyarup Banerjee, Kalyan Chakraborty, Azizul Hoque. 2016-11-26. An analogue of Wilton's formula and values of Dedekind zeta functions. https://arxiv.org/abs/1611.08693

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