A Probabilistic Proof for Representations of the Riemann Zeta Function

Jiamei Liu, Yuxia Huang and Chuancun Yin
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Jiamei Liu: School of Statistics, Qufu Normal University, Shandong 273165, China
Yuxia Huang: School of Statistics, Qufu Normal University, Shandong 273165, China
Chuancun Yin: School of Statistics, Qufu Normal University, Shandong 273165, China

Mathematics, 2019, vol. 7, issue 4, 1-7

Abstract: In this paper, we present a different proof of the well known recurrence formula for the Riemann zeta function at positive even integers, the integral representations of the Riemann zeta function at positive integers and at fractional points by means of a probabilistic approach.

Keywords: Bernoulli numbers; (half-) logistic distribution; integral representation; probabilistic approach; Riemann zeta function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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