Extrema of Luroth Digits and a zeta function limit relation

Autor:	Athreya, Jayadev S., Athreya, Krishna B.
Rok vydání:	2021
Předmět:	Mathematics - Probability Mathematics - Dynamical Systems Mathematics - Number Theory 60G70 11M06 11B68
Druh dokumentu:	Working Paper
Popis:	We describe how certain properties of the extrema of the digits of Luroth expansions lead to a probabilistic proof of a limiting relation involving the Riemann zeta function and the Bernoulli triangles. We also discuss trimmed sums of Luroth digits. Our goal is to show how direct computations in this case lead to explicit formulas and some interesting discussions of special functions. Comment: to appear in Integers (http://math.colgate.edu/~integers/)
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2110.01132 Zobrazit plný text záznamu View this record from Arxiv