Pseudodifferential Methods in Number Theory

Classically developed as a tool for partial differential equations, the analysis of operators known as pseudodifferential analysis is here regarded as a possible help in questions of arithmetic. The operators which make up the main subject of the book can be characterized in terms of congruence arit...

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Hlavný autor: Unterberger, André (Autor)
Médium: Elektronický zdroj E-kniha
Jazyk:English
Vydavateľské údaje: Cham : Springer International Publishing, 2018.
Vydanie:1st ed. 2018.
Edícia:Pseudo-Differential Operators, Theory and Applications, 13
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ISBN:9783319927077
ISSN:2297-0355 ;
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Obsah:
  • Introduction - The basic tools
  • Some measures and distributions in the plane
  • Pseudodifferential arithmetic and Euler decompositions
  • The role of modular forms
  • Line measures and modular distributions
  • Arithmetic and the Fuchs calculus
  • A possible approach to the Riemann hypothesis?