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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Pseudodifferential Methods in Number Theory

Pseudodifferential Methods in Number Theory

Unterberger, André

Paperback

Series: Pseudo-Differential Operators, Book 13

General Mathematics

ISBN10: 331992706X
ISBN13: 9783319927060
Publisher: Birkhauser
Published: Jul 24 2018
Pages: 173
Weight: 0.65
Height: 0.38 Width: 6.69 Depth: 9.61
Language: English

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 arithmetic. They enjoy a Eulerian structure, and are applied to the search for new conditions equivalent to the Riemann hypothesis. These consist in the validity of certain parameter-dependent estimates for a class of Hermitian forms of finite rank. The Littlewood criterion, involving sums of Möbius coefficients, and the Weil so-called explicit formula, which leads to his positivity criterion, fit within this scheme, using in the first case Weyl's pseudodifferential calculus, in the second case Fuchs'.

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