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Arithmetic Theory of Elliptic Curves: Lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.)held in Cetaro, Italy, July 12-19, 1997

Original price was: ₹5,511.00.Current price is: ₹4,410.00.
Includes supplementary material: sn.pub/extras
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Arithmetical Investigations: Representation Theory, Orthogonal Polynomials, and Quantum Interpolations

Original price was: ₹3,944.00.Current price is: ₹3,155.00.
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Arithmetical Investigations: Representation Theory, Orthogonal Polynomials, and Quantum Interpolations

Original price was: ₹3,944.00.Current price is: ₹3,155.00.
Includes supplementary material: sn.pub/extras
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Around the Unit Circle: Mahler Measure, Integer Matrices and Roots of Unity

Original price was: ₹7,075.00.Current price is: ₹5,661.00.
A thorough introduction to the combinatorial approach to Mahler measure and more Presents results that have not previously appeared in book form Includes new tables of small Mahler measures and limit points Appendices on prerequisites make the book self-contained
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Around the Unit Circle: Mahler Measure, Integer Matrices and Roots of Unity

Original price was: ₹7,075.00.Current price is: ₹5,661.00.
A thorough introduction to the combinatorial approach to Mahler measure and more Presents results that have not previously appeared in book form Includes new tables of small Mahler measures and limit points Appendices on prerequisites make the book self-contained
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Arthur’s Invariant Trace Formula and Comparison of Inner Forms

Original price was: ₹14,894.00.Current price is: ₹11,916.00.
This monograph provides an accessible and comprehensive introduction to James Arthur’s invariant trace formula, a crucial tool in the theory of automorphic representations. It synthesizes two decades of Arthur’s research and writing into one volume, treating a highly detailed and often difficult subject in a clearer and more uniform manner without sacrificing any technical details.
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Arthur’s Invariant Trace Formula and Comparison of Inner Forms

Original price was: ₹14,894.00.Current price is: ₹11,916.00.
This monograph provides an accessible and comprehensive introduction to James Arthur’s invariant trace formula, a crucial tool in the theory of automorphic representations. It synthesizes two decades of Arthur’s research and writing into one volume, treating a highly detailed and often difficult subject in a clearer and more uniform manner without sacrificing any technical details.
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Asymptotic Prime Divisors

Original price was: ₹2,905.00.Current price is: ₹2,325.00.
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Asymptotic Prime Divisors

Original price was: ₹2,905.00.Current price is: ₹2,325.00.
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Automorphic Forms and Even Unimodular Lattices

Original price was: ₹13,851.00.Current price is: ₹11,082.00.
This book includes a self-contained approach of the general theory of quadratic forms and integral Euclidean lattices, as well as a presentation of the theory of automorphic forms and Langlands' conjectures, ranging from the first definitions to the recent and deep classification results due to James Arthur.Its connecting thread is a question about lattices of rank 24: the problem of p-neighborhoods between Niemeier lattices. This question, whose expression is quite elementary, is in fact very natural from the automorphic point of view, and turns out to be surprisingly intriguing. We explain how the new advances in the Langlands program mentioned above pave the way for a solution. This study proves to be very rich, leading us to classical themes such as theta series, Siegel modular forms, the triality principle, L-functions and congruences between Galois representations.This monograph is intended for any mathematician with an interest in Euclidean lattices, automorphic forms or number theory. A large part of it is meant to be accessible to non-specialists.
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Automorphic Forms and Even Unimodular Lattices

Original price was: ₹13,851.00.Current price is: ₹11,082.00.
This book includes a self-contained approach of the general theory of quadratic forms and integral Euclidean lattices, as well as a presentation of the theory of automorphic forms and Langlands' conjectures, ranging from the first definitions to the recent and deep classification results due to James Arthur.Its connecting thread is a question about lattices of rank 24: the problem of p-neighborhoods between Niemeier lattices. This question, whose expression is quite elementary, is in fact very natural from the automorphic point of view, and turns out to be surprisingly intriguing. We explain how the new advances in the Langlands program mentioned above pave the way for a solution. This study proves to be very rich, leading us to classical themes such as theta series, Siegel modular forms, the triality principle, L-functions and congruences between Galois representations.This monograph is intended for any mathematician with an interest in Euclidean lattices, automorphic forms or number theory. A large part of it is meant to be accessible to non-specialists.
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Automorphisms of Finite Groups

Original price was: ₹10,724.00.Current price is: ₹8,580.00.
The book describes developments on some well-known problems regarding the relationship between orders of finite groups and that of their automorphism groups. It is broadly divided into three parts: the first part offers an exposition of the fundamental exact sequence of Wells that relates automorphisms, derivations and cohomology of groups, along with some interesting applications of the sequence. The second part offers an account of important developments on a conjecture that a finite group has at least a prescribed number of automorphisms if the order of the group is sufficiently large. A non-abelian group of prime-power order is said to have divisibility property if its order divides that of its automorphism group. The final part of the book discusses the literature on divisibility property of groups culminating in the existence of groups without this property. Unifying various ideas developed over the years, this largely self-contained book includes results that are either proved or with complete references provided. It is aimed at researchers working in group theory, in particular, graduate students in algebra.
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Automorphisms of Finite Groups

Original price was: ₹10,724.00.Current price is: ₹8,580.00.
The book describes developments on some well-known problems regarding the relationship between orders of finite groups and that of their automorphism groups. It is broadly divided into three parts: the first part offers an exposition of the fundamental exact sequence of Wells that relates automorphisms, derivations and cohomology of groups, along with some interesting applications of the sequence. The second part offers an account of important developments on a conjecture that a finite group has at least a prescribed number of automorphisms if the order of the group is sufficiently large. A non-abelian group of prime-power order is said to have divisibility property if its order divides that of its automorphism group. The final part of the book discusses the literature on divisibility property of groups culminating in the existence of groups without this property. Unifying various ideas developed over the years, this largely self-contained book includes results that are either proved or with complete references provided. It is aimed at researchers working in group theory, in particular, graduate students in algebra.
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Basic Analysis of Regularized Series and Products

Original price was: ₹3,110.00.Current price is: ₹2,488.00.
Analytic number theory and part of the spectral theory of operators (differential, pseudo-differential, elliptic, etc.) are being merged under amore general analytic theory of regularized products of certain sequences satisfying a few basic axioms. The most basic examples consist of the sequence of natural numbers, the sequence of zeros with positive imaginary part of the Riemann zeta function, and the sequence of eigenvalues, say of a positive Laplacian on a compact or certain cases of non-compact manifolds.
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Basic Analysis of Regularized Series and Products

Original price was: ₹3,110.00.Current price is: ₹2,488.00.
Analytic number theory and part of the spectral theory of operators (differential, pseudo-differential, elliptic, etc.) are being merged under amore general analytic theory of regularized products of certain sequences satisfying a few basic axioms. The most basic examples consist of the sequence of natural numbers, the sequence of zeros with positive imaginary part of the Riemann zeta function, and the sequence of eigenvalues, say of a positive Laplacian on a compact or certain cases of non-compact manifolds.
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Brauer Groups and Obstruction Problems: Moduli Spaces and Arithmetic

Original price was: ₹13,852.00.Current price is: ₹11,082.00.
Offers a unique synthesis of techniques: tools from complex algebraic geometry are applied to fundamental questions in number theory and Diophantine geometry Investigates the connection between derived equivalences and existence of rational points on varieties, especially on K3 surfaces Includes a founding paper in the emerging theory of universal triviality of the Chow group of 0-cycles and its relationship to stable rationality problems
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Brauer Groups and Obstruction Problems: Moduli Spaces and Arithmetic

Original price was: ₹13,852.00.Current price is: ₹11,082.00.
Offers a unique synthesis of techniques: tools from complex algebraic geometry are applied to fundamental questions in number theory and Diophantine geometry Investigates the connection between derived equivalences and existence of rational points on varieties, especially on K3 surfaces Includes a founding paper in the emerging theory of universal triviality of the Chow group of 0-cycles and its relationship to stable rationality problems
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