On a question of A. Schinzel: Omega estimates for a special type of arithmetic functions

• Autorzy: Manfred Kühleitner , Werner Nowak
• Języki publikacji: EN

Abstrakty

EN

The paper deals with lower bounds for the remainder term in asymptotics for a certain class of arithmetic functions. Typically, these are generated by a Dirichlet series of the form ζ 2(s)ζ(2s−1)ζ M(2s)H(s), where M is an arbitrary integer and H(s) has an Euler product which converges absolutely for R s > σ0, with some fixed σ0 < 1/2.

Słowa kluczowe

EN

Arithmetic functions; Asymptotic formulas; Omega estimates

Kategorie tematyczne

• 11N37: Asymptotic results on arithmetic functions
• 11A25: Arithmetic functions; related numbers; inversion formulas
• 11L07: Estimates on exponential sums
• 11A05: Multiplicative structure; Euclidean algorithm; greatest common divisors

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 3
• Strony: 477-486

Daty

wydano

2013-03-01

online

2012-12-22

Twórcy

autor

Manfred Kühleitner

• Institute of Mathematics, Department of Integrative Biology, BOKU Wien, 1180, Vienna, Austria

autor

Werner Nowak

• Institute of Mathematics, Department of Integrative Biology, BOKU Wien, 1180, Vienna, Austria

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-012-0143-2