Maximum of exponential random variables, Hurwitz's zeta function, and the partition function

DOI10.4064/sm200630-11-12zbMath1489.60010arXiv2005.03392OpenAlexW3196984201WikidataQ115481852 ScholiaQ115481852MaRDI QIDQ5022612

Grigori Kolesnik, D. Barak-Pelleg, Daniel Berend

Publication date: 19 January 2022

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.03392

zbMATH Keywords

partition functionHurwitz's zeta functioncoupon collector problem

Mathematics Subject Classification ID

Combinatorial probability (60C05) Hurwitz and Lerch zeta functions (11M35) Analytic theory of partitions (11P82)

Cites Work

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• Birthday paradox, coupon collectors, caching algorithms and self- organizing search
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• Martingale approach to the coupon collection problem
• Some identities on the Hurwitz zeta function and the extended Euler sums
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• The Double Dixie Cup Problem
• Some New Aspects of the Coupon Collector's Problem
• The Generalised Coupon Collector Problem
• Values of the Legendre chi and Hurwitz zeta functions at rational arguments
• Closed-Form Summation of Some Trigonometric Series
• Aspects of Zeta-Function Theory in the Mathematical Works of Adolf Hurwitz
• Coupon Collecting for Uneqal Probabilities

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