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

100%

Kühleitner M., Nowak W.

Open Mathematics

2013

tom 11

nr 3

477-486

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.

A lower bound for the error term in Weyl’s law for certain Heisenberg manifolds, II

100%

Nowak W.

Open Mathematics

2009

tom 7

nr 3

452-462

This article is concerned with estimations from below for the remainder term in Weyl’s law for the spectral counting function of certain rational (2ℓ + 1)-dimensional Heisenberg manifolds. Concentrating on the case of odd ℓ, it continues the work done in part I [21] which dealt with even ℓ.

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2 Open Mathematics

2 Nowak W.

1 Kühleitner M.

1 2013

1 2009

Wyniki wyszukiwania

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

A lower bound for the error term in Weyl’s law for certain Heisenberg manifolds, II