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arXiv · 1705.09386

On M\"untz-type formulas related to the Riemann zeta function

Hélder Lima
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Abstract

The Mellin transform and several Dirichlet series related with the Riemann zeta function are used to deduce some identities similar to the classical M\"untz formula [4]. These formulas are derived in the critical strip and in the half-plane $Re(s)<0$. As particular cases, integral representations for products of the gamma and zeta functions are exhibited.

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Hélder Lima. 2017-05-25. On M\"untz-type formulas related to the Riemann zeta function. https://arxiv.org/abs/1705.09386

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