A class of subsums of Euler's sum

DOI10.1515/anly-2015-0018zbMath1364.11009OpenAlexW2538660085MaRDI QIDQ334533

Kenneth S. Williams

Publication date: 1 November 2016

Published in: Analysis (München) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anly-2015-0018

zbMATH Keywords

Euler's formulaBernoulli numbers and polynomialsEuler's sumKronecker symbolsubsums of Euler's sum

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Congruences; primitive roots; residue systems (11A07) Arithmetic functions; related numbers; inversion formulas (11A25) Arithmetic progressions (11B25) Evaluation of number-theoretic constants (11Y60)

Related Items (2)

Beyond the Basel Problem, Part I ⋮ Beyond the Basel Problem: Part II

Cites Work

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• The Möbius inversion formula for Fourier series applied to Bernoulli and Euler polynomials
• An Elementary Proof of Euler's Formula for z(2m)
• Limit Representations of Riemann’s Zeta Function
• How Would Riemann Evaluate ζ(2<em>n</em>)?
• The Calculation of Certain Dirichlet Series

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