ON THE MERTENS CONJECTURE FOR FUNCTION FIELDS

DOI10.1142/S1793042113500978zbMath1303.11109arXiv1210.0945WikidataQ123235925 ScholiaQ123235925MaRDI QIDQ5408810

Peter J. Humphries

Publication date: 11 April 2014

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

Full work available at URL: https://arxiv.org/abs/1210.0945

zbMATH Keywords

Möbius functionhyperelliptic curvefunction fieldMertens conjecture

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Rate of growth of arithmetic functions (11N56) Relations with random matrices (11M50)

Cites Work

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• Jacobians in isogeny classes of abelian surfaces over finite fields
• The generic irreducibility of the numerator of the zeta function in a family of curves with large monodromy
• Random matrix theory and the derivative of the Riemann zeta function
• The distribution of the summatory function of the Möbius function
• On Two Conjectures in the Theory of Numbers

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