SOME REMARKS ON THE RIEMANN ZETA FUNCTION AND PRIME FACTORS OF NUMERATORS OF BERNOULLI NUMBERS

DOI10.1017/S0004972710030054zbMath1301.11025OpenAlexW2128381657MaRDI QIDQ3167461

Florian Luca, Amalia Pizarro-Madariaga

Publication date: 2 November 2012

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972710030054

zbMATH Keywords

primesRiemann zeta functionBernoulli numbersnonholonomicitynumber of distinct prime factors of sequence of numerators

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) (zeta (s)) and (L(s, chi)) (11M06)

Related Items (2)

On the counting function of irregular primes ⋮ On the largest prime factor of numerators of Bernoulli numbers

Cites Work

• Non-holonomicity of sequences defined via elementary functions
• Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers
• Irrationality of infinitely many values of the zeta function at odd integers.

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