The average number of solutions of the Diophantine equation \(U^2+V^2=W^3\) and related arithmetic functions

DOI10.1023/B:AMHU.0000036284.91580.3ezbMath1060.11058arXivmath/0307221OpenAlexW2079936564MaRDI QIDQ705756

Werner Georg Nowak, Manfred Kühleitner

Publication date: 14 February 2005

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0307221

zbMATH Keywords

zeta-functionsarithmetic functionscubic Diopantine equations

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) (zeta (s)) and (L(s, chi)) (11M06) Counting solutions of Diophantine equations (11D45)

Related Items (6)

On the mean square of standard \(L\)-functions attached to Ikeda lifts ⋮ On a question of A. Schinzel: Omega estimates for a special type of arithmetic functions ⋮ On the distribution of integral points on cones ⋮ Representations of integers by certain positive definite binary quadratic forms ⋮ On the divisor function and the Riemann zeta-function in short intervals ⋮ Asymptotics for a class of arithmetic functions

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