Linear relations of zeroes of the zeta-function

DOI10.1090/S0025-5718-2014-02916-5zbMath1377.11096arXiv1209.3843OpenAlexW1978196283MaRDI QIDQ5246854

D. G. Best, Timothy S. Trudgian

Publication date: 22 April 2015

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.3843

zbMATH Keywords

Riemann zeta-function zeroslinear relations of ordinates

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (10)

The Liouville Function and the Riemann Hypothesis ⋮ Prime lattice points in ovals ⋮ Computations of the Mertens function and improved bounds on the Mertens conjecture ⋮ Biases in prime factorizations and Liouville functions for arithmetic progressions ⋮ Sums of two squares are strongly biased towards quadratic residues ⋮ The distribution of $k$-free numbers ⋮ Relations among some conjectures on the Möbius function and the Riemann zeta-function ⋮ A tale of two omegas ⋮ Oscillations in weighted arithmetic sums ⋮ A singular series average and the zeros of the Riemann zeta-function

Cites Work

• Factoring polynomials with rational coefficients
• Numerical study of the derivative of the Riemann zeta function at zeros
• A disproof of a conjecture of Pólya
• Disproof of the Mertens conjecture.
• A constructive approach to Kronecker approximations and its application to the Mertens conjecture.
• On Two Conjectures in the Theory of Numbers
• Algorithmic Number Theory
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