Class Groups of Number Fields and Related Topics, Kalyan Chakraborty; Azizul Hoque; Prem Prakash Pan

Автор: Pierre Guillot
Название: A Gentle Course in Local Class Field Theory: Local Number Fields, Brauer Groups, Galois Cohomology
ISBN: 1108421776 ISBN-13(EAN): 9781108421775
Издательство: Cambridge Academ
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Цена: 79200.00 T
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Описание: This book offers a self-contained exposition of local class field theory, serving as a second course on Galois theory. Written for beginning graduate students and advanced undergraduates, the material will find use across disciplines including number theory, representation theory, algebraic geometry, and algebraic topology.

Автор: Jonathan M. Borwein; Igor Shparlinski; Wadim Zudil
Название: Number Theory and Related Fields
ISBN: 1493902172 ISBN-13(EAN): 9781493902170
Издательство: Springer
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Цена: 111790.00 T
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Описание: "Number Theory and Related Fields" collects contributions based on the proceedings of the "International Number Theory Conference in Memory of Alf van der Poorten," hosted by CARMA and held March 12-16th 2012 at the University of Newcastle, Australia.

Автор: Jonathan M. Borwein; Igor Shparlinski; Wadim Zudil
Название: Number Theory and Related Fields
ISBN: 1461466415 ISBN-13(EAN): 9781461466413
Издательство: Springer
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Цена: 93160.00 T
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Описание: "Number Theory and Related Fields" collects contributions based on the proceedings of the "International Number Theory Conference in Memory of Alf van der Poorten," hosted by CARMA and held March 12-16th 2012 at the University of Newcastle, Australia.

Автор: Samuele Anni, Jay Jorgenson, Lejla Smajlovic, Lynne Walling
Название: Automorphic Forms and Related Topics
ISBN: 147043525X ISBN-13(EAN): 9781470435257
Издательство: Mare Nostrum (Eurospan)
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Цена: 108680.00 T
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Описание: This volume contains the proceedings of the Building Bridges: 3rd EU/US Summer School and Workshop on Automorphic Forms and Related Topics, which was held in Sarajevo from July 11-22, 2016. The articles summarize material which was presented during the lectures and speed talks during the workshop.These articles address various aspects of the theory of automorphic forms and its relations with the theory of $L$-functions, the theory of elliptic curves, and representation theory. In addition to mathematical content, the workshop held a panel discussion on diversity and inclusion, which was chaired by a social scientist who has contributed to this volume as well. This volume is intended for researchers interested in expanding their own areas of focus, thus allowing them to ``build bridges'' to mathematical questions in other fields.

Автор: Helmut Hasse
Название: On the Class Number of Abelian Number Fields
ISBN: 3030015106 ISBN-13(EAN): 9783030015107
Издательство: Springer
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Цена: 111790.00 T
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Описание: With this translation, the classic monograph ?ber die Klassenzahl abelscher Zahlk?rper by Helmut Hasse is now available in English for the first time.The book addresses three main topics: class number formulas for abelian number fields; expressions of the class number of real abelian number fields by the index of the subgroup generated by cyclotomic units; and the Hasse unit index of imaginary abelian number fields, the integrality of the relative class number formula, and the class number parity. Additionally, the book includes reprints of works by Ken-ichi Yoshino and Mikihito Hirabayashi, which extend the tables of Hasse unit indices and the relative class numbers to imaginary abelian number fields with conductor up to 100. The text provides systematic and practical methods for deriving class number formulas, determining the unit index and calculating the class number of abelian number fields. A wealth of illustrative examples, together with corrections and remarks on the original work, make this translation a valuable resource for today’s students of and researchers in number theory.

Автор: Julien Barral; St?phane Seuret
Название: Recent Developments in Fractals and Related Fields
ISBN: 3319578030 ISBN-13(EAN): 9783319578033
Издательство: Springer
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Цена: 149060.00 T
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Описание: Chapters cover fields related to fractals such as harmonic analysis, multifractal analysis, geometric measure theory, ergodic theory and dynamical systems, probability theory, number theory, wavelets, potential theory, partial differential equations, fractal tilings, combinatorics, and signal and image processing.

Автор: Winfried Kohnen; Rainer Weissauer
Название: Conformal Field Theory, Automorphic Forms and Related Topics
ISBN: 3662438305 ISBN-13(EAN): 9783662438305
Издательство: Springer
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Цена: 158380.00 T
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Описание: This book, part of the series Contributions in Mathematical and Computational Sciences, reviews recent developments in the theory of vertex operator algebras (VOAs) and their applications to mathematics and physics.The mathematical theory of VOAs originated from the famous monstrous moonshine conjectures of J.H.

Автор: Winfried Kohnen; Rainer Weissauer
Название: Conformal Field Theory, Automorphic Forms and Related Topics
ISBN: 3662512505 ISBN-13(EAN): 9783662512500
Издательство: Springer
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Цена: 111790.00 T
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Описание: This book, part of the series Contributions in Mathematical and Computational Sciences, reviews recent developments in the theory of vertex operator algebras (VOAs) and their applications to mathematics and physics.The mathematical theory of VOAs originated from the famous monstrous moonshine conjectures of J.H.

Автор: Joan-Carles Lario, V. Kumar Murty
Название: Number Theory Related to Modular Curves: Momose Memorial Volume
ISBN: 1470419912 ISBN-13(EAN): 9781470419912
Издательство: Mare Nostrum (Eurospan)
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Цена: 116430.00 T
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Описание: Contains the proceedings of the Barcelona-Boston-Tokyo Number Theory Seminar, which was held in memory of Fumiyuki Momose. Momose made important contributions to the theory of Galois representations attached to modular forms, rational points on elliptic and modular curves, modularity of some families of Abelian varieties, and applications of arithmetic geometry to cryptography.

Автор: Gert-Martin Greuel; Luis Narv?ez Macarro; Sebasti?
Название: Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics
ISBN: 3030072584 ISBN-13(EAN): 9783030072582
Издательство: Springer
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Цена: 83850.00 T
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Описание: This volume brings together recent, original research and survey articles by leading experts in several fields that include singularity theory, algebraic geometry and commutative algebra. The motivation for this collection comes from the wide-ranging research of the distinguished mathematician, Antonio Campillo, in these and related fields. Besides his influence in the mathematical community stemming from his research, Campillo has also endeavored to promote mathematics and mathematicians' networking everywhere, especially in Spain, Latin America and Europe. Because of his impressive achievements throughout his career, we dedicate this book to Campillo in honor of his 65th birthday. Researchers and students from the world-wide, and in particular Latin American and European, communities in singularities, algebraic geometry, commutative algebra, coding theory, and other fields covered in the volume, will have interest in this book.

Автор: J?rgen Neukirch; Alexander Schmidt; Kay Wingberg
Название: Cohomology of Number Fields
ISBN: 3662517450 ISBN-13(EAN): 9783662517451
Издательство: Springer
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Цена: 121070.00 T
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Описание: It is a textbook for students, as well as a reference book for the working mathematician, on cohomological topics in number theory. New material is introduced here on duality theorems for unramified and tamely ramified extensions as well as a careful analysis of 2-extensions of real number fields.

Автор: Hatice Boylan
Название: Jacobi Forms, Finite Quadratic Modules and Weil Representations over Number Fields
ISBN: 3319129155 ISBN-13(EAN): 9783319129150
Издательство: Springer
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Цена: 32600.00 T
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Описание: The new theory of Jacobi forms over totally real number fields introduced in this monograph is expected to give further insight into the arithmetic theory of Hilbert modular forms, its L-series, and into elliptic curves over number fields.