Algebraicity of the zeta function associated to a matrix over a free group algebra
| Autor: | Christian Kassel, Christophe Reutenauer |
|---|---|
| Přispěvatelé: | Institut de Recherche Mathématique Avancée (IRMA), Université de Strasbourg (UNISTRA)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de combinatoire et d'informatique mathématique [Montréal] (LaCIM), Centre de Recherches Mathématiques [Montréal] (CRM), Université de Montréal (UdeM)-Université de Montréal (UdeM)-Université du Québec à Montréal = University of Québec in Montréal (UQAM) |
| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: |
14G10
Mathematics::Number Theory 68R15 [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA] 01 natural sciences Noncommutative formal power series Combinatorics Matrix (mathematics) symbols.namesake Integer 05A15 68Q45 68R15(Primary) 05E15 20M35 68Q70 14H05 14G40 (Secondary) Mathematics::K-Theory and Homology Mathematics::Quantum Algebra 0103 physical sciences [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO] Classical Analysis and ODEs (math.CA) FOS: Mathematics 14H05 Mathematics - Combinatorics 05A15 14G10 68Q70 0101 mathematics Algebra over a field 010306 general physics Mathematics Ring (mathematics) Algebra and Number Theory language 010102 general mathematics 16. Peace & justice Noncommutative geometry Riemann zeta function zeta function 05E15 algebraic function Mathematics - Classical Analysis and ODEs Free group symbols Algebraic function Combinatorics (math.CO) 05A15 68Q70 |
| Zdroj: | Algebra & Number Theory Algebra & Number Theory, Mathematical Sciences Publishers 2014, pp.8-2 (2014), 497--511. ⟨10.2140/ant.2014.8.497⟩ Algebra Number Theory 8, no. 2 (2014), 497-511 |
| ISSN: | 1937-0652 |
| Popis: | Following and generalizing a construction by Kontsevich, we associate a zeta function to any matrix with entries in a ring of noncommutative Laurent polynomials with integer coefficients. We show that such a zeta function is an algebraic function. 13 pages; Versions 2 and 3: minor corrections. Versions 4 and 5: References [12], [19] added |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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