The average order of a class of arithmetic functions over arithmetic progressions with applications to quadratic forms.

DOI10.1515/CRLL.1980.317.74zbMath0422.10040OpenAlexW3201286299MaRDI QIDQ3855275

Robert A. Smith

Publication date: 1980

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002197456

zbMATH Keywords

average orderarithmetic progressionspositive definite integral quadratic form

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Hurwitz and Lerch zeta functions (11M35)

Related Items (7)

Shifted convolution sums for higher rank groups ⋮ Mean value theorem connected with Fourier coefficients of Hecke-Maass forms for SL(m, ℤ) ⋮ THE FOURIER COEFFICIENTS OF Θ‐SERIES IN ARITHMETIC PROGRESSIONS ⋮ The generalized divisor problem over arithmetic progressions ⋮ Lattice points in the circle and sphere ⋮ On an analogue of prime vectors among integer lattice points in ellipsoids for automorphic forms ⋮ Jutila's circle method and \(\mathrm{GL}(2) \times \mathrm{GL}(2)\) shifted convolution sums

This page was built for publication: The average order of a class of arithmetic functions over arithmetic progressions with applications to quadratic forms.