Extension of Estermann’s theorem to Euler products associated to a multivariate polynomial

DOI10.24033/bsmf.2647zbMath1347.11064arXiv1001.3838OpenAlexW2963038446MaRDI QIDQ2861486

Ludovic Delabarre

Publication date: 8 November 2013

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.3838

zbMATH Keywords

meromorphic continuationcyclotomic polynomialnatural boundarymultivariables Euler productsrational point on a toric variety

Mathematics Subject Classification ID

Rational points (14G05) Meromorphic functions of several complex variables (32A20) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (2)

Domain of meromorphy of a class of Bateman-like totient zeta functions ⋮ Accurate computations of Euler products over primes in arithmetic progressions

Cites Work

• Unnamed Item
• On the domain of meromorphy of a multivariate Euler product of Igusa type
• Zeta functions of groups and rings
• On the analytic continuation of Eulerian products
• Zeta functions of groups: zeros and friendly ghosts
• Fonction zêta des hauteurs associée à une certaine surface cubique
• On The Meromorphy of Euler Products (I)
• On a Class of Dirichlet Series Associated to the Ring of Representations of a Weil Group
• On the Meromorphy of Euler Products (II)
• Meromorphic continuation of multivariable Euler products

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