Erratum to ``A theorem for the closed-form evaluation of the first generalized Stieltjes constant at rational arguments and some related summations

DOI10.1016/J.JNT.2015.01.001zbMath1381.11115OpenAlexW2093203133MaRDI QIDQ2257328

Iaroslav V. Blagouchine

Publication date: 24 February 2015

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2015.01.001

zbMATH Keywords

gamma functionStieltjes constantsorthogonal expansionszeta functiondigamma functionpsi functiongeneralized Euler's constantslogarithmic integrals

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Hurwitz and Lerch zeta functions (11M35) Evaluation of number-theoretic constants (11Y60)

Related Items (3)

New convergent sequences of approximations to Stieltjes' constants ⋮ Computing Stieltjes constants using complex integration ⋮ Expansions of generalized Euler's constants into the series of polynomials in \(\pi^{- 2}\) and into the formal enveloping series with rational coefficients only

Cites Work

• Unnamed Item
• On the power series coefficients of the Riemann zeta function
• Explicit upper bounds for the Stieltjes constants
• Euler’s constant: Euler’s work and modern developments
• An effective asymptotic formula for the Stieltjes constants
• Asymptotic estimates for Stieltjes constants: a probabilistic approach
• The Stieltjes Function--Definition and Properties
• Power Series Expansions of Riemann's ζ Function

This page was built for publication: Erratum to ``A theorem for the closed-form evaluation of the first generalized Stieltjes constant at rational arguments and some related summations