Modular Relations and Parity in Number Theory

This book describes research problems by unifying and generalizing some remote-looking objects through the functional equation and the parity relation of relevant zeta functions, known as the modular relation or RHB correspondence. It provides examples of zeta functions introduced as absolutely conv...

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Bibliografische gegevens
Hoofdauteurs: Chakraborty, Kalyan (Auteur), Kanemitsu, Shigeru (Auteur), Kuzumaki, Takako (Auteur)
Coauteur: SpringerLink (Online service)
Formaat: Elektronisch E-boek
Taal:Engels
Gepubliceerd in: Singapore : Springer Nature Singapore : Imprint: Springer, 2025.
Editie:1st ed. 2025.
Reeks:Infosys Science Foundation Series in Mathematical Sciences,
Onderwerpen:
Online toegang:https://doi.org/10.1007/978-981-96-6471-9
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Inhoudsopgave:
  • Introduction and preliminaries
  • Ramified functional equations and (CSIF)
  • Unified theory of Epstein zeta-functions & zeta-functions associated with real-analytic automorphic forms
  • A unifying principle for modular relations and summation formulas
  • Class numbers of Abelian fields and (CPMD)
  • Historical remarks.