Correlated sums of \(r(n)\)

DOI10.2969/jmsj/05110237zbMath0933.11045OpenAlexW2033919941MaRDI QIDQ1298059

Fernando Chamizo

Publication date: 27 March 2000

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/05110237

zbMATH Keywords

sums of squaresasymptotic formulasHecke operatorspretrace formulanon-holomorphic cusp form

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Asymptotic results on arithmetic functions (11N37) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Applications of automorphic functions and forms to multiplicative problems (11N75)

Related Items (7)

The Laplace transform of the second moment in the Gauss circle problem ⋮ Sums of squares in \(\mathbb{Z}[\sqrt k\)] ⋮ On a sum involving small arithmetic functions ⋮ Sums of squares in real quadratic fields and Hilbert modular groups ⋮ On the distribution of lattice points on hyperbolic circles ⋮ The additive problem for the number of representations as a sum of two squares ⋮ The mean square discrepancy in the circle problem

This page was built for publication: Correlated sums of \(r(n)\)