Power-Sum Denominators

DOI10.4169/amer.math.monthly.124.8.695zbMath1391.11052arXiv1705.03857OpenAlexW3099854982WikidataQ58118705 ScholiaQ58118705MaRDI QIDQ4575417

Jonathan Sondow, Bernd C. Kellner

Publication date: 13 July 2018

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.03857

zbMATH Keywords

Bernoulli polynomials

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Special sequences and polynomials (11B83)

Related Items (9)

On a product of certain primes ⋮ DENOMINATORS OF BERNOULLI POLYNOMIALS ⋮ On Carmichael and polygonal numbers, Bernoulli polynomials, and sums of base-$p$ digits ⋮ Proofs of McIntosh's conjecture on Franel integrals and two generalizations ⋮ Computing solutions to the congruence \(1^n + 2^n + \ldots + n^n \equiv p \pmod n\) ⋮ Distribution of the primes involving the ceiling function ⋮ On primary Carmichael numbers ⋮ The denominators of power sums of arithmetic progressions ⋮ Dirichlet series associated to sum-of-digits functions

Uses Software

• OEIS

Cites Work

• Potenzsummenformeln im 17. Jahrhundert
• Proofs of Power Sum and Binomial Coefficient Congruences Via Pascal’s Identity
• Johann Faulhaber and Sums of Powers
• Geometry of Binomial Coefficients
• A Quick Route to Sums of Powers
• Zaphod Beeblebrox's Brian and the Fifty-ninth Row of Pascal's Triangle
• Was Newton's Calculus a Dead End? The Continental Influence of Maclaurin's Treatise of Fluxions
• Binomial Coefficients Modulo a Prime
• Number Theory
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