Author:
Kühleitner Manfred,Nowak Werner
Abstract
AbstractThe 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.
Reference16 articles.
1. Area Lattice Points and Exponential Sums Oxford University Press New York;Huxley;London Math Soc Monogr,1996
2. On certain arithmetic functions involving the greatest common divisor http dx doi org;Krätzel;Cent Eur J Math,2012
3. On an asymptotic formula of Srinivasa Ramanujan http dx doi org;Ramachandra;Acta Arith,2003
4. On the error function in the asymptotic formula for the counting function of k - full numbers;Balasubramanian;Acta Arith,1988
5. Lattice Points East Kluwer Dordrecht;Krätzel;Math Appl European Ser,1988
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