Quadratic Forms Representing All Odd Positive Integers

DOI10.1353/ajm.2014.0041zbMath1315.11024arXiv1111.0979OpenAlexW2071413292MaRDI QIDQ2934443

Jeremy Rouse

Publication date: 12 December 2014

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.0979

zbMATH Keywords

generalized Riemann hypothesisquadratic formscusp formsRankin-Selberg \(L\)-functionsrepresentation of integers

Mathematics Subject Classification ID

General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Fourier coefficients of automorphic forms (11F30) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Hecke-Petersson operators, differential operators (one variable) (11F25) General binary quadratic forms (11E16)

Related Items

Uniform bounds for norms of theta series and arithmetic applications, UNIVERSAL QUADRATIC FORMS AND ELEMENTS OF SMALL NORM IN REAL QUADRATIC FIELDS, Everything You Wanted To Know About ax²+by²+cz²+dt² But Were Afraid To Ask, Ternary quadratic forms ax²+by²+cz²representing all positive integers 8k+4, Representation by ternary quadratic forms, Diagonal odd-regular ternary quadratic forms, Classically integral quadratic forms excepting at most two values, Petersson products of bases of spaces of cusp forms and estimates for Fourier coefficients, Diagonal quadratic forms representing all binary diagonal quadratic forms, Integers represented by positive-definite quadratic forms and Petersson inner products, Quadratic forms representing all integers coprime to 3, PRIME-UNIVERSAL QUADRATIC FORMS AND, Unnamed Item, Unnamed Item, Unnamed Item, Ternary quadratic forms representing a given arithmetic progression