The low activity phase of some Dirichlet series

DOI10.1063/1.531717zbMath0865.11061OpenAlexW2108937581WikidataQ58295848 ScholiaQ58295848MaRDI QIDQ4716464

Pierluigi Contucci, Andreas Knauf

Publication date: 12 January 1997

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/5916b6acffc4be42fd0bff229167df80f0e27d92

zbMATH Keywords

partition functionDirichlet seriesRiemann hypothesisstatistical mechanicspolymer modelDirichlet functionlow activity phase

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Equilibrium statistical mechanics (82B99) Other Dirichlet series and zeta functions (11M41) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items

Free energy and correlations of the number-theoretical spin chain, Duality, partial supersymmetry, and arithmetic number theory, NUMBER THEORY, DYNAMICAL SYSTEMS AND STATISTICAL MECHANICS

Cites Work

• Cluster expansion for abstract polymer models
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• On a ferromagnetic spin chain
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• Self-avoiding walks in five or more dimensions: polymer expansion approach