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...
(Išleidimo metai: 02-May-2025, Paperback / softback, Leidėjas: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, ISBN-13: 9783662712238)
The theory of elliptic functions and modular forms is rich and storied, though it has a reputation for difficulty. In this textbook, the authors successfully bridge foundational concepts and advanced material. Following Weierstrasss approach to e...Daugiau...
(Išleidimo metai: 12-Dec-2024, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781009457538)
A practical introduction to the mathematical theory of modular forms and its physical applications to string theory, suitable for undergraduate and graduate students, and researchers who wish to navigate the intersection of cutting-edge physics and m...Daugiau...
This book is a self-contained treatment for those who study or work on the computational aspects of classical modular forms. The author describes the theory of modular forms and its applications in number theoretic problems such as representations by...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...
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...
This book is a self-contained treatment for those who study or work on the computational aspects of classical modular forms. The author describes the theory of modular forms and its applications in number theoretic problems such as representations by...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...
Minjia Shi, Youngju Choie, Anuradha Sharma, Patrick Sole
(Išleidimo metai: 28-Nov-2019, Hardback, Leidėjas: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789811212918)
There are connections between invariant theory and modular forms since the times of Felix Klein, in the 19th century, connections between codes and lattices since the 1960s. The aim of the book is to explore the interplay between codes and modula...Daugiau...
Sums of Squares of Integers covers topics in combinatorial number theory as they relate to counting representations of integers as sums of a certain number of squares. The book introduces a stimulating area of number theory where research continues t...Daugiau...
This monograph introduces two approaches to studying Siegel modular forms: the classical approach as holomorphic functions on the Siegel upper half space, and the approach via representation theory on the symplectic group. By illustrating t...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...
(Išleidimo metai: 30-Aug-2017, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9780821849477)
The theory of modular forms is a fundamental tool used in many areas of mathematics and physics. It is also a very concrete and fun subject in itself and abounds with an amazing number of surprising identities. This comprehensive textbo...Daugiau...
Ši knyga nebeleidžiama, tačiau mes Jums pranešime naudoto egzemplioriaus kainą
Concise book offers expository account of theory of modular forms and its application to number theory and analysis. Substantial notes at the end of each chapter amplify the more difficult subjects. 1969 edition. This concise...Daugiau...
(Išleidimo metai: 30-Apr-2017, Paperback / softback, Leidėjas: International Press of Boston Inc, ISBN-13: 9781571463432)
Movasati develops a theory of (Calabi-Yau) modular forms parallel to the classical theory of (elliptical) modular forms. His treatment originated from many period manipulations of the B-model Calabi-Yau variety of mirror symmetry in topological s...Daugiau...
