Siegel's trace problem and character values of finite groups

DOI10.1515/CRELLE.2009.097zbMath1242.11078MaRDI QIDQ3404377

Florin Stan, Alexandru Zaharescu

Publication date: 9 February 2010

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

zbMATH Keywords

roots of unityfinite groupabelian extensionSiegel's trace problem

Mathematics Subject Classification ID

Algebraic numbers; rings of algebraic integers (11R04) Polynomials (11S05) Totally real fields (11R80)

Related Items (7)

Abelian spiders and real cyclotomic integers ⋮ AN EFFECTIVE BOUND FOR THE CYCLOTOMIC LOXTON–KEDLAYA RANK ⋮ Retracted: A generalization of the Schur-Siegel-Smyth trace problem ⋮ Norm, trace, and formal codegrees of fusion categories ⋮ The Siegel norm, the length function and character values of finite groups. ⋮ The Cassels heights of cyclotomic integers ⋮ Weil numbers in finite extensions of ℚ^{𝕒𝕓}: the Loxton-Kedlaya phenomenon

Cites Work

• A refinement of two theorems of Kronecker
• The trace of totally positive and real algebraic integers
• The Mean Values of Totally Real Algebraic Integers
• On the Measure of Totally Real Algebraic Integers. II
• Two new points in the spectrum of the absolute Mahler measure of totally positive algebraic integers
• The integer Chebyshev problem

This page was built for publication: Siegel's trace problem and character values of finite groups