The mean square discrepancy in the divisor problem

Autor:	Steven M. Gonek, Fan Ge
Rok vydání:	2020
Předmět:	Combinatorics Mean square Applied Mathematics General Mathematics Divisor (algebraic geometry) Mathematics
Zdroj:	Transactions of the American Mathematical Society. 373:4713-4734
ISSN:	1088-6850 0002-9947
DOI:	10.1090/tran/8087
Popis:	We study the mean square of the error term, or the mean square discrepancy, in the Dirichlet divisor problem. An analysis of the off-diagonal terms in the mean square of the Voronoi summation formula leads to a precise conjecture for this mean square discrepancy. Surprisingly, the discrepancy contains a slowly oscillating, unbounded term.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ccbacd27ab246ed1399368af1c57dd4a https://doi.org/10.1090/tran/8087 Zobrazit plný text záznamu