Some new considerations on the Bernoulli numbers, the factorial function, and Riemann's zeta function.

DOI10.1016/S0096-3003(00)00038-2zbMath1043.11020OpenAlexW2036426358MaRDI QIDQ5931597

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Publication date: 25 April 2001

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(00)00038-2

zbMATH Keywords

Riemann zeta-functionBernoulli numbers

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) (zeta (s)) and (L(s, chi)) (11M06) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (4)

Ramanujan formula for the generalized Stirling approximation ⋮ Estimating the digamma and trigamma functions by completely monotonicity arguments ⋮ Best estimates of the generalized Stirling formula ⋮ New improvements of the Stirling formula

Cites Work

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• De Morgan's Ramanujan: An incident in recovering our endangered cultural memory of mathematics
• Extended computation of the Riemann zeta‐function
• On the Zeros of the Riemann Zeta Function in the Critical Strip. IV
• Zeros of Bernoulli, generalized Bernoulli and Euler polynomials
• Two Classes of Generalized Polynomials
• Arithmetic Properties of Generalized Bernoulli Numbers.
• Shorter Notes: The Nonvanishing of the Bernoulli Polynomials in the Critical Strip

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