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arxiv: 2108.02342 · v1 · pith:6KNAPE6M · submitted 2021-08-05 · math.NT

New relations on zeta and L functions

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classification math.NT
keywords functionfunctionsrelationszetaanalysisargumentscalculuscomplex
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We prove new relations on zeta function at even arguments and Dirichlet $L$ function at odd. The key idea is to make use of the Taylor series and partial fraction decomposition of cotangent and secant functions as we discuss in calculus and complex analysis.

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