Arithmetic behaviour of the sums of three squares

DOI10.1016/0022-314X(87)90067-9zbMath0623.10035MaRDI QIDQ1091423

B. George

Publication date: 1987

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

Galois groupnumber of representationsalternating groupternary quadratic formscentral extensiontheta-functionsmaximum number of summandsShimura's correspondencesum of three integral squares

Mathematics Subject Classification ID

Galois theory (11R32) Waring's problem and variants (11P05) Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Quadratic forms over global rings and fields (11E12) Holomorphic modular forms of integral weight (11F11)

Related Items (2)

On the summation of the singular series ⋮ On stem extensions of \(S_ n\) as Galois group over number fields

Cites Work

• Unnamed Item
• Thetareihen positiv definiter quadratischer Formen
• Zeta functions and genus of quadratic forms
• On stem extensions of \(S_ n\) as Galois group over number fields
• Spinor norms of local integral rotations. II
• On central extensions of \(A_ n\) as Galois group over \({\mathbb{Q}}\)
• On modular forms of half integral weight

This page was built for publication: Arithmetic behaviour of the sums of three squares