SECOND MOMENTS IN THE GENERALIZED GAUSS CIRCLE PROBLEM

The generalized Gauss circle problem concerns the lattice point discrepancy of large spheres. We study the Dirichlet series associated to $P_{k}(n)^{2}$, where $P_{k}(n)$ is the discrepancy between the volume of the $k$-dimensional sphere of radius $\sqrt{n}$ and the number of integer lattice points...

Full description

Bibliographic Details
Main Authors: THOMAS A. HULSE, CHAN IEONG KUAN, DAVID LOWRY-DUDA, ALEXANDER WALKER
Format: Article
Language:English
Published: Cambridge University Press 2018-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509418000269/type/journal_article