The distribution of weighted sums of the Liouville function and Pólya's conjecture

DOI10.1016/j.jnt.2012.08.011zbMath1305.11083arXiv1108.1524OpenAlexW2044518158WikidataQ123141633 ScholiaQ123141633MaRDI QIDQ1930115

Peter J. Humphries

Publication date: 10 January 2013

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

Full work available at URL: https://arxiv.org/abs/1108.1524

zbMATH Keywords

Riemann hypothesisLiouville's functionlogarithmic densityweighted sumlinear independence hypothesisPolya's conjecture

Mathematics Subject Classification ID

Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Other results on the distribution of values or the characterization of arithmetic functions (11N64) Rate of growth of arithmetic functions (11N56)

Related Items (7)

On the average value of ⋮ The Liouville Function and the Riemann Hypothesis ⋮ Fake mu’s ⋮ Biases in prime factorizations and Liouville functions for arithmetic progressions ⋮ A tale of two omegas ⋮ Lower bounds for discrete negative moments of the Riemann zeta function ⋮ Oscillations in weighted arithmetic sums

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