\(p\)-adic \(L\)-functions and sums of powers

DOI10.1006/jnth.1997.2195zbMath0910.11047OpenAlexW2007561580MaRDI QIDQ1267291

Lawrence C. Washington

Publication date: 25 November 1998

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1997.2195

zbMATH Keywords

sums of powers\(p\)-adic \(L\)-functionsBernoulli polynomials and numberspartial sums of generalized harmonic series

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Zeta functions and (L)-functions of number fields (11R42) Special sequences and polynomials (11B83)

Related Items (13)

Infinitesimal deformation of \(p\)-adic differential equations on Berkovich curves ⋮ A notion of finite multiple zeta values associated with the Frobenius of the fundamental group of \(\mathbb{P}^1\setminus\{0,1,\infty\}\) ⋮ On \(p\)-adic properties of the Stirling numbers of the first kind ⋮ $p$-adic $L$-functions and classical congruences ⋮ On multiple twisted \(p\)-adic \(q\)-Euler \(\zeta\)-functions and \(l\)-functions ⋮ On the \(p\)-adic properties of Stirling numbers of the first kind ⋮ Bounds of divided universal Bernoulli numbers and universal Kummer congruences ⋮ On \(p\)-adic \(q\)-\(l\)-functions and sums of powers ⋮ A p-ADIC VIEW OF MULTIPLE SUMS OF POWERS ⋮ Asymptotic relations for truncated multiple zeta values ⋮ Unnamed Item ⋮ Non-vanishing of certain cyclotomic multiple harmonic sums and application to the non-vanishing of certain p-adic cyclotomic multiple zeta values ⋮ MULTIPLE HARMONIC SUMS AND WOLSTENHOLME'S THEOREM

Cites Work

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• \(p\)-integral harmonic sums
• A p-adic Study of the Partial Sums of the Harmonic Series

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