Extrema of Luroth Digits and a zeta function limit relation

zbMath1496.11104arXiv2110.01132MaRDI QIDQ3390071

Krishna B. Athreya, Jayadev S. Athreya

Publication date: 24 March 2022

Full work available at URL: https://arxiv.org/abs/2110.01132

zbMATH Keywords

limit lawsextremaLüroth expansions

Mathematics Subject Classification ID

Extreme value theory; extremal stochastic processes (60G70) Bernoulli and Euler numbers and polynomials (11B68) (zeta (s)) and (L(s, chi)) (11M06) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55)

Uses Software

• OEIS

Cites Work

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• Estimates for partial sums of continued fraction partial quotients
• Complements to Li's criterion for the Riemann Hypothesis
• Representations of real numbers by infinite series
• The asymptotic probability of a tie for first place
• Convergence for weighted sums of Lüroth type random variables
• The relative growth rate for the digits in Lüroth expansions
• Stability for sums of i.i.d. random variables when extreme terms are excluded
• Measure Theory and Probability Theory

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