Asymptotics of certain number-theoretic sums

DOI10.1134/S0001434608030140zbMath1205.11106OpenAlexW2034253406MaRDI QIDQ2517992

Nikolay N. Osipov

Publication date: 12 January 2009

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434608030140

zbMATH Keywords

Dedekind zeta functionDirichlet seriesquadratic irrationalitynumber theoretic sums

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Rate of growth of arithmetic functions (11N56)

Cites Work

• Diophantine approximation
• On the sum \(\Sigma \langle n\alpha \rangle^ -t\) and numerical integration
• Estimates of $\sum__{k=1}^N k^{-s}〈kx〉^{-t}$

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