Pseudodifferential Methods in Number Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Pseudodifferential Methods in Number Theory write by André Unterberger. This book was released on 2018-07-16. Pseudodifferential Methods in Number Theory available in PDF, EPUB and Kindle. 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'. The book should be of interest to people looking for new possible approaches to the Riemann hypothesis, also to new perspectives on pseudodifferential analysis and on the way it combines with modular form theory. Analysts will have no difficulty with the arithmetic aspects, with which, save for very few exceptions, no previous acquaintance is necessary.
Pseudodifferential Methods in Number Theory
Pseudodifferential Methods in Number Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Pseudodifferential Methods in Number Theory write by André Unterberger. This book was released on 2018-07-24. Pseudodifferential Methods in Number Theory available in PDF, EPUB and Kindle. 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'. The book should be of interest to people looking for new possible approaches to the Riemann hypothesis, also to new perspectives on pseudodifferential analysis and on the way it combines with modular form theory. Analysts will have no difficulty with the arithmetic aspects, with which, save for very few exceptions, no previous acquaintance is necessary.
Periodic Integral and Pseudodifferential Equations with Numerical Approximation
Periodic Integral and Pseudodifferential Equations with Numerical Approximation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Periodic Integral and Pseudodifferential Equations with Numerical Approximation write by Jukka Saranen. This book was released on 2013-03-09. Periodic Integral and Pseudodifferential Equations with Numerical Approximation available in PDF, EPUB and Kindle. An attractive book on the intersection of analysis and numerical analysis, deriving classical boundary integral equations arising from the potential theory and acoustics. This self-contained monograph can be used as a textbook by graduate/postgraduate students. It also contains a lot of carefully chosen exercises.
Analytic Methods In The Theory Of Differential And Pseudo-Differential Equations Of Parabolic Type
Analytic Methods In The Theory Of Differential And Pseudo-Differential Equations Of Parabolic Type - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Analytic Methods In The Theory Of Differential And Pseudo-Differential Equations Of Parabolic Type write by Samuil D. Eidelman. This book was released on 2012-12-06. Analytic Methods In The Theory Of Differential And Pseudo-Differential Equations Of Parabolic Type available in PDF, EPUB and Kindle. This book is devoted to new classes of parabolic differential and pseudo-differential equations extensively studied in the last decades, such as parabolic systems of a quasi-homogeneous structure, degenerate equations of the Kolmogorov type, pseudo-differential parabolic equations, and fractional diffusion equations. It will appeal to mathematicians interested in new classes of partial differential equations, and physicists specializing in diffusion processes.
Distributions and Operators
Distributions and Operators - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Distributions and Operators write by Gerd Grubb. This book was released on 2008-10-14. Distributions and Operators available in PDF, EPUB and Kindle. This book gives an introduction to distribution theory, based on the work of Schwartz and of many other people. It is the first book to present distribution theory as a standard text. Each chapter has been enhanced with many exercises and examples.
