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A Probabilistic Proof for Representations of the Riemann Zeta Function

Author

Listed:
  • 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)

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.

Suggested Citation

  • Jiamei Liu & Yuxia Huang & Chuancun Yin, 2019. "A Probabilistic Proof for Representations of the Riemann Zeta Function," Mathematics, MDPI, vol. 7(4), pages 1-7, April.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:4:p:369-:d:225430
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