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Beskrivning
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 book is devoted to applications of pseudodifferential calculus to analytic number theory, aimed to new approaches to the Riemann hypothesis (RH). ... The book by A. Unterberger will be interesting and useful both for number theorists looking for new techniques, and for specialists in pseudodifferential operators interested in new application areas.” (Anatoly N. Kochubei, zbMath 1411.11004, 2019)
Innehållsförteckning
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?