(Išleidimo metai: 31-Aug-2025, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781009504553)
This comprehensive introduction to number theory will reward students and researchers with its insight and thoroughness. Suitable for course use and self-study, it avoids unnecessary abstraction and provides a wealth of thought-provoking examples and...Daugiau...
Vladimir Platonov, Andrei Rapinchuk, Igor Rapinchuk
Serija: Cambridge Studies in Advanced Mathematics
(Išleidimo metai: 07-Sep-2023, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9780521113618)
This is the first volume of a two-volume book that offers an in-depth, and essentially self-contained, treatment of the arithmetic theory of algebraic groups. It is accessible to graduate students and researchers in number theory, algebraic geometry...Daugiau...
(Išleidimo metai: 09-Jun-2022, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781009123341)
Now in its second edition, this volume provides a uniquely detailed study of p-adic differential equations. Assuming only a graduate-level background in number theory, the text builds the theory from first principles all the way to the frontiers of...Daugiau...
(Išleidimo metai: 06-May-2021, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781108840965)
Despite its seemingly deterministic nature, the study of whole numbers, especially prime numbers, has many interactions with probability theory, the theory of random processes and events. This surprising connection was first discovered around 1920,...Daugiau...
(Išleidimo metai: 02-Jan-2020, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781108499705)
The last fifteen years have seen a flurry of exciting developments in Fourier restriction theory, leading to significant new applications in diverse fields. This timely text brings the reader from the classical results to state-of-the-art advances i...Daugiau...
(Išleidimo metai: 20-Sep-2018, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781108473842)
This is Volume 2 of a two-volume book that provides a self-contained introduction to the theory and application of automorphic forms, using examples to illustrate several critical analytical concepts surrounding and supporting the theory of automorph...Daugiau...
This two-volume book provides a self-contained introduction to the analytical aspects of automorphic forms by proving several critical results carefully and in detail. With extensive examples, it will be useful text for graduate students and research...Daugiau...
Philipp Fleig, Henrik P. A. Gustafsson, Axel Kleinschmidt, Daniel Persson
Serija: Cambridge Studies in Advanced Mathematics
(Išleidimo metai: 05-Jul-2018, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781107189928)
This introduction to automorphic forms on adelic groups G(A) emphasises the role of representation theory. The exposition is driven by examples, and collects and extends many results scattered throughout the literature, in particular the Langlands co...Daugiau...
(Išleidimo metai: 21-Jun-2018, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781107182332)
This self-contained book introduces readers to discrete harmonic analysis with an emphasis on the Discrete Fourier Transform and the Fast Fourier Transform on finite groups and finite fields, as well as their noncommutative versions. It also features...Daugiau...
(Išleidimo metai: 30-Dec-2015, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781107097605)
Unit equations play a central role in Diophantine number theory. This book provides a comprehensive and up-to-date treatment of unit equations and their various applications. It brings together the most important results and gives an overview of the...Daugiau...
L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This book provides an entirely self-contained introduction to the theory of L-functions in a style access...Daugiau...
Prime numbers are the multiplicative building blocks of natural numbers. Understanding their overall influence and especially their distribution gives rise to central questions in mathematics and physics. In particular, their finer distribution is cl...Daugiau...
(Išleidimo metai: 21-Apr-2011, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9780521474238)
This modern, graduate-level textbook does not assume prior knowledge of representation theory. Includes numerous concrete examples and over 250 exercises....Daugiau...
(Išleidimo metai: 21-Apr-2011, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781107007994)
This modern approach to the theory of automorphic representations keeps definitions to a minimum, focusing instead on providing concrete examples and detailed proofs of the key theorems. This book is the perfect introduction for students at the advan...Daugiau...
Explicit Brauer Induction is an important technique in algebra, discovered by the author in 1986. It solves an old problem, giving a canonical formula for Brauers induction theorem. In this 1994 book it is derived algebraically, following a method...Daugiau...
(Išleidimo metai: 16-Jul-2009, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9780521888509)
Assuming little technical background, the author presents the strong analogies between these two concepts starting at an elementary level. Ever since the concepts of Galois groups in algebra and fundamental groups in topology emerged during t...Daugiau...
Comprehensive account of recent developments in arithmetic theory of modular forms, for graduates and researchers. This book provides a comprehensive account of a key, perhaps the most important, theory that forms the basis of Taylor-Wiles pr...Daugiau...
A straightforward and easily accessible survey of the main ideas of the theory at an elementary level. This volume aims to present a straightforward and easily accessible survey of the analytic theory of quadratic forms. Written at an elemen...Daugiau...
