Pseudodifferential Methods in Number Theory

• Κύριος συγγραφέας: Unterberger, André (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
• Έκδοση: 1st ed. 2018.
• Σειρά: Pseudo-Differential Operators, Theory and Applications, 13
• Θέματα: Number theory.; Partial differential equations.; Number Theory.; Partial Differential Equations.

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...

Πίνακας περιεχομένων:

• 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?