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A probabilistic interpretation of the Hurwitz zeta function

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Publication:1803594
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DOI10.1006/aima.1993.1009zbMath0772.11030OpenAlexW2046684035MaRDI QIDQ1803594

Ross A. Lippert

Publication date: 29 June 1993

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1993.1009


zbMATH Keywords

Hurwitz zeta functionprobability measurecontinuous measurecontinuous arithmetic densityGolomb's measure


Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Hurwitz and Lerch zeta functions (11M35) Probabilistic theory: distribution modulo (1); metric theory of algorithms (11K99)


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The Hurwitz zeta function as a convergent series ⋮ A class of Hurwitz-Lerch zeta distributions and their applications in reliability ⋮ The Hurwitz zeta function: monotonicity, convexity and inequalities ⋮ Sharp inequalities for the Hurwitz zeta function ⋮ Some difference equations for Srivastava's \({\lambda}\)-generalized Hurwitz-Lerch zeta functions with applications



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