Zeta functions of groups: zeros and friendly ghosts

DOI10.1353/AJM.2002.0006zbMath1020.11058OpenAlexW2050522477MaRDI QIDQ2784128

Fritz J. Grunewald, Marcus P. F. du Sautoy

Publication date: 13 March 2003

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

Full work available at URL: http://muse.jhu.edu/journals/american_journal_of_mathematics/toc/ajm124.1.html

zbMATH Keywords

reductive groupsEuler productglobal zeta functionfriendly ghostghost polynomialreductive exceptional groups

Mathematics Subject Classification ID

Nilpotent groups (20F18) Other Dirichlet series and zeta functions (11M41) Linear algebraic groups over global fields and their integers (20G30)

Related Items (6)

Zeta functions of virtually nilpotent groups ⋮ Domain of meromorphy of a class of Bateman-like totient zeta functions ⋮ Natural boundaries of Dirichlet series ⋮ The maximal domain of meromorphic continuation of a Dirichlet series ⋮ Accurate computations of Euler products over primes in arithmetic progressions ⋮ Extension of Estermann’s theorem to Euler products associated to a multivariate polynomial

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