The mean square discrepancy in the circle problem

Autor:	Steven M. Gonek, Alex Iosevich
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	Mean square Algebra and Number Theory Conjecture discrepancy estimates Gauss circle problem Term (time) Combinatorics symbols.namesake symbols circle problem Discrete Mathematics and Combinatorics Heuristic argument 11P21 Mathematics lattice points
Zdroj:	Mosc. J. Comb. Number Theory 8, no. 3 (2019), 263-287
Popis:	We study the mean square of the error term in the Gauss circle problem. A heuristic argument based on the consideration of off-diagonal terms in the mean square of the relevant Voronoi-type summation formula leads to a precise conjecture for the mean square of this discrepancy.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1a9714583cce16fbd0c701c3d8d01315 https://projecteuclid.org/euclid.moscow/1565661750 Zobrazit plný text záznamu