Delving into the theory of generalized functions, the text illuminates their role in analysis, partial differential equations, stochastic processes, and representation theory. It probes representations of the general linear group over p-adic fields,...Daugiau...
Delve into the intricacies of societal phenomena such as meme diffusion, urban gentrification, and voter dynamics while examining how individual interactions shape collective behavior. This collection intertwines mathematical modeling, data analysis...Daugiau...
The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of...Daugiau...
The Langlands program has been a very active and central field in mathematics ever since its conception over 50 years ago. This book features expository accounts of several topics on automorphic forms on higher rank groups, including rationality que...Daugiau...
The method can be viewed as an extension of the work of Godement-Jacquet (1972) for the standard L-function of GLn and is expected to work for all classical groups. We will consider the Archimedean local theory and the global theory in our future wo...Daugiau...
Serija: Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore
(Išleidimo metai: 02-May-2024, Hardback, Leidėjas: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789811285813)
This is a collection of lecture notes from the minicourses in the December 2018 Langlands Workshop: Endoscopy and Beyond. The volume combines seven introductory chapters on trace formulas, local Arthur packets, and beyond endoscopy. It aims to intro...Daugiau...
Nicolas Bergeron, Pierre Charollois, Luis E. Garcia
Serija: CRM Monograph Series
(Išleidimo metai: 30-Nov-2023, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9781470474119)
Ce livre constitue un expose detaille de la serie de cours donnes en 2020 par le Prof. Nicolas Bergeron, titulaire de la Chaire Aisenstadt au CRM de Montreal. Lobjet de ce texte est une ample generalisation dune famille didentites classiques, not...Daugiau...
We develop cohomological interpretations for several types of automorphic forms for Hecke triangle groups of infinite covolume. We then use these interpretations to establish explicit isomorphisms between spaces of automorphic forms, cohomology spac...Daugiau...
Building on the developments of many people including Evans, Greene, Katz, McCarthy, Ono, Roberts, and Rodriguez-Villegas, we consider period functions for hypergeometric type algebraic varieties over finite fields and consequently study hypergeomet...Daugiau...
In this article, we give explicit formulas of archimedean Whittaker functions on GL(3) and GL(2). Moreover, we apply those to the calculation of archimedean zeta integrals for GL(3) x GL(2), and show that the zeta integral for appropriate Whittaker...Daugiau...
Generalizing the classical theorems of Max Noether and Petri, we describe generators and relations for the canonical ring of a stacky curve, including an explicit Grobner basis. We work in a general algebro-geometric context and treat log canonical...Daugiau...
The 2016 meeting of the biennial mathematics school was in Sarajevo, Bosnia and Herzegovina, and the 29 lectures consider such aspects of automorphic forms as noncommutative modular symbols and Eisenstein series, an algebraic and analytic approac...Daugiau...
(Išleidimo metai: 06-May-2019, Hardback, Leidėjas: De Gruyter, ISBN-13: 9783110641240)
This book discusses almost periodic and almost automorphic solutions to abstract integro-differential Volterra equations that are degenerate in time, and in particular equations whose solutions are governed by (degenerate) solution operator famili...Daugiau...
This volume presents a panorama of the diverse activities organized by V. Heiermann and D. Prasad in Marseille at CIRM for the Chaire Morlet event during the first semester of 2016. It assembles together expository articles on topics which previou...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...
Serija: Modern Analysis of Automorphic Forms By Example 2 Hardback Book Set
(Išleidimo metai: 20-Sep-2018, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781107154001)
This is Volume 1 of a two-volume book that 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 for graduate stud...Daugiau...
Investigating the correspondence between holomorphic automorphic forms on the upper half-plane with complex weight and parabolic cycles, Bruggeman, Choie, and Diamantis give the correspondence by the Eichler integral for integral weights of two o...Daugiau...
After a remembrance of Momose and an overview of his mathematical work, 11 papers explore the arithmetic of modular curves and abelian varieties, along with related areas of mathematics that interested him. Among the topics are quadratic points o...Daugiau...
Kathrin Bringmann, Amanda Folsom, Ken Ono, Larry Rolen
Serija: Colloquium Publications
(Išleidimo metai: 30-Dec-2017, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9781470419448)
The 21 papers in this collection consider harmonic Maass forms and mock modular forms, the background to them, and their applications. The topics include theta functions and holomorphic Jacobi forms, classical Maass forms, differential operators...Daugiau...
Featuring the work of twenty-three internationally-recognized experts, this volume explores the trace formula, spectra of locally symmetric spaces, p-adic families, and other recent techniques from harmonic analysis and representation theory. Each...Daugiau...
(Išleidimo metai: 19-Apr-2016, Hardback, Leidėjas: Princeton University Press, ISBN-13: 9780691646091)
Intended as an introductory guide, this work takes for its subject complex, analytic, automorphic forms and functions on (a domain equivalent to) a bounded domain in a finite-dimensional, complex, vector space, usually denoted Cn)....Daugiau...
Some of the 17 papers in this collection are not based on presentations at the workshop, which was held in Vienna during October 2013, but all relate to Cogdells work. Among the topics are the local transfer and reducibility of induced representatio...Daugiau...
Ce travail en deux volumes donne la preuve de la stabilisation de la formule des trace tordue.Stabiliser la formule des traces tordue est la méthode la plus puissante connue actuellement pour comprendre laction naturelle du groupe des points adéli...Daugiau...
Ce travail en deux volumes donne la preuve de la stabilisation de la formule des trace tordue.Stabiliser la formule des traces tordue est la méthode la plus puissante connue actuellement pour comprendre laction naturelle du groupe des points adéli...Daugiau...
Editors A. C. Cojocaru, C. David, and F. Pappalardi present readers with a text highlighting presentations at a conference given in honor of the sixtieth birthday of mathematician M. Ram Murty in Montral, Canada in October of 2013. The selections...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...
Ši knyga nebeleidžiama, tačiau mes Jums pranešime naudoto egzemplioriaus kainą
Author Martin Luu presents students, academics, researchers, and mathematics professionals with an examination of the deformation theory of automorphic representations and its use to study local properties of Galois representations. The author has or...Daugiau...
Cremona Groups and the Icosahedron focuses on the Cremona groups of ranks 2 and 3 and describes the beautiful appearances of the icosahedral group A5 in them. The book surveys known facts about surfaces with an action o...Daugiau...
The main results of this book combine pseudo differential analysis with modular form theory. The methods rely for the most part on explicit spectral theory and the extended use of special functions. The starting point is a notion of modular distribut...Daugiau...
Presents in full detail the proof of Fermats Last Theorem given by Wiles and Taylor. With these two books, the reader will be able to see the whole picture of the proof to appreciate one of the greatest achievements in the history of mathematics. C...Daugiau...
Intended as an introductory guide, this work takes for its subject complex, analytic, automorphic forms and functions on (a domain equivalent to) a bounded domain in a finite-dimensional, complex, vector space, usually denoted Cn)....Daugiau...
Automorphic forms and Galois representations have played a central role in the development of modern number theory, with the former coming to prominence via the celebrated Langlands program and Wiles proof of Fermats Last Theorem. This two-volume c...Daugiau...
This collection, the first of two volumes arising from an LMS-EPSRC Durham Symposium, explores the importance of automorphic forms and Galois representations in number theory. The expository articles and research papers within cover recent progress i...Daugiau...
In the 1970s Hirzebruch and Zagier produced elliptic modular forms with coefficients in the homology of a Hilbert modular surface. They then computed the Fourier coefficients of these forms in terms of period integrals and L-functions. In this book t...Daugiau...
The conference was called to summarize and consolidate the work of Piatetski-Shapiro (d. 2009) and his co-workers on the theory of automorphic forms, and to promote future work by identifying fruitful directions of further investigation. The overall...Daugiau...
In the margins of a book, Pierre de Fermat (1601-65) claimed that he had a mathematical proof that was too large to fit the margin, but it was not until 1994 that other mathematicians proved what had become known as Fermats Last Theorem. Saito (math...Daugiau...
(Išleidimo metai: 30-Oct-2013, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9780821849903)
Arthur classifies the automorphic representations of special orthogonal and symplective groups in G in terms of those of GL(N). His main tool is the stable trace formula for G, which until recently was conditional on the fundamental lemma, which has...Daugiau...
Alex H. Barnett, Carolyn S. Gordon, Peter A. Perry, Alejandro Uribe
Serija: Proceedings of Symposia in Pure Mathematics
(Išleidimo metai: 30-Dec-2012, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9780821853191)
Three expository lectures delivered at a July 2010 conference introduce spectral theory on hyperbolic surfaces, Riemannian orbifolds and their spectra, and semiclassical analysis. The volume also contains 13 research papers exploring semiclassical me...Daugiau...
(Išleidimo metai: 02-Dec-2012, Hardback, Leidėjas: Princeton University Press, ISBN-13: 9780691155913)
This comprehensive account of the Gross-Zagier formula on Shimura curves over totally real fields relates the heights of Heegner points on abelian varieties to the derivatives of L-series. The formula will have new applications for the Birch and S...Daugiau...
This comprehensive account of the Gross-Zagier formula on Shimura curves over totally real fields relates the heights of Heegner points on abelian varieties to the derivatives of L-series. The formula will have new applications for the Birch and S...Daugiau...
The volume contains the proceedings of the ``Second International Workshop on Zeta Functions in Algebra and Geometry held May 3-7, 2010 at the Universitat de les Illes Balears, Palma de Mallorca, Spain. Zeta functions can be naturally attached to...Daugiau...
(Išleidimo metai: 11-Jul-2012, Hardback, Leidėjas: Birkhauser Boston Inc, ISBN-13: 9780817683337)
Multiple Dirichlet Series, L-functions and Automorphic Forms gives the latest advances in the rapidly developing subject of Multiple Dirichlet Series, an area with origins in the theory of automorphic forms that exhibits surprising and deep connec...Daugiau...
In the 1970s Hirzebruch and Zagier produced elliptic modular forms with coefficients in the homology of a Hilbert modular surface. They then computed the Fourier coefficients of these forms in terms of period integrals and L-functions. In this book t...Daugiau...
The 11 papers consider the analysis of complex-valued functions and distributions on p-adic groups, but not p-adic-valued functions. The underlying goal is to develop a theory of harmonic analysis for functions and distributions on p-adic groups to p...Daugiau...
The conference was called to mark the 60th birthday of Freydoon Shahidi and his three decades of contribution to number theory, automorphic forms, harmonic analysis, and most particularly the Langlands-Shahidi method of addressing problems in these a...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...
