Digamma function and general Fischer series in the theory of Kempner sums

DOI10.1016/J.EXMATH.2024.125604MaRDI QIDQ6656068

Jean-François Burnol

Publication date: 2 January 2025

Published in: Expositiones Mathematicae (Search for Journal in Brave)

zbMATH Keywords

digamma functionellipsephic numbersKempner series

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Moment problems (44A60) Radix representation; digital problems (11A63) Polynomials and rational functions of one complex variable (30C10) Evaluation of number-theoretic constants (11Y60)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Sum of the reciprocals of the natural numbers without the digit 9
• A curious convergent series.
• Sums of Reciprocals of Integers Missing a Given Digit
• Summing a Curious, Slowly Convergent Series
• A Curious Convergent Series
• Power Sums of Integers with Missing Digits.

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