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On a kind of generalized Lehmer problem

Rong Ma, Yulong Zhang (2012)

Czechoslovak Mathematical Journal

For 1 c p - 1 , let E 1 , E 2 , , E m be fixed numbers of the set { 0 , 1 } , and let a 1 , a 2 , , a m ( 1 a i p ...

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

Manfred Kühleitner, Werner Nowak (2013)

Open Mathematics

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.

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