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P-Adic Automorphic Forms on Shimura Varieties
ISBN: 9780387207117 / Angielski / Twarda / 404 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In the early years of the 1980s, while I was visiting the Institute for Ad- vanced Study (lAS) at Princeton as a postdoctoral member, I got a fascinating view, studying congruence modulo a prime among elliptic modular forms, that an automorphic L-function of a given algebraic group G should have a canon- ical p-adic counterpart of several variables. I immediately decided to find out the reason behind this phenomenon and to develop the theory of ordinary p-adic automorphic forms, allocating 10 to 15 years from that point, putting off the intended arithmetic study of Shimura varieties via...
In the early years of the 1980s, while I was visiting the Institute for Ad- vanced Study (lAS) at Princeton as a postdoctoral member, I got a fascinat...
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cena:
805,10 |
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An Introduction to the Langlands Program
ISBN: 9780817632113 / Angielski / Miękka / 292 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book presents a broad, user-friendly introduction to the Langlands program, that is, the theory of automorphic forms and its connection with the theory of L-functions and other fields of mathematics. Each of the twelve chapters focuses on a particular topic devoted to special cases of the program. The book is suitable for graduate students and researchers.
This book presents a broad, user-friendly introduction to the Langlands program, that is, the theory of automorphic forms and its connection with t... |
cena:
281,76 |
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Value-Distribution of L-Functions
ISBN: 9783540265269 / Angielski / Miękka / 322 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. These notes present recent results in the value-distribution theory of L-functions with emphasis on the phenomenon of universality. Universality has a strong impact on the zero-distribution: Riemann's hypothesis is true only if the Riemann zeta-function can approximate itself uniformly. The text proves universality for polynomial Euler products. The authors' approach follows mainly Bagchi's probabilistic method. Discussion touches on related topics: almost periodicity, density estimates, Nevanlinna theory, and functional independence. These notes present recent results in the value-distribution theory of L-functions with emphasis on the phenomenon of universality. Universality ha... |
cena:
261,63 |
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Algorithmic Number Theory: First International Symposium, ANTS-I, Ithaca, NY, USA, May 6 - 9, 1994. Proceedings
ISBN: 9783540586913 / Angielski / Miękka / 320 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume presents the refereed proceedings of the First Algorithmic Number Theory Symposium, ANTS-I, held at Cornell University, Ithaca, NY in May 1994.
The 35 papers accepted for inclusion in this book address many current issues of algorithmic, computational and complexity-theoretic aspects of number theory and thus report the state-of-the-art in this exciting area of research; the book also contributes essentially to foundational research in cryptology and coding. Of particular value is a collection entitled "Open Problems in Number Theoretic Complexity, II" contributed by Len... This volume presents the refereed proceedings of the First Algorithmic Number Theory Symposium, ANTS-I, held at Cornell University, Ithaca, NY in May ...
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cena:
201,24 |
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Walks on Ordinals and Their Characteristics
ISBN: 9783764385286 / Angielski / Twarda / 324 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The analysis of the characteristics of walks on ordinals is a powerful new technique for building mathematical structures, developed by the author over the last twenty years. This is the first book-length exposition of this method. Particular emphasis is placed on applications which are presented in a unified and comprehensive manner and which stretch across several areas of mathematics such as set theory, combinatorics, general topology, functional analysis, and general algebra. The intended audience for this book are graduate students and researchers working in these areas interested in... The analysis of the characteristics of walks on ordinals is a powerful new technique for building mathematical structures, developed by the author ... |
cena:
402,53 |
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The Prime Number Theorem
ISBN: 9780521814119 / Angielski / Twarda / 264 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. At first glance the prime numbers appear to be distributed in a very irregular way amongst the integers, but it is possible to produce a simple formula that tells (in an approximate but well-defined sense) how many primes can be found that are less than any integer. The prime number theorem tells what this formula is and it is indisputably one of the the great classical theorems of mathematics. This textbook introduces the prime number theorem and is suitable for advanced undergraduates and beginning graduate students. The author deftly shows how analytical tools can be used in number theory...
At first glance the prime numbers appear to be distributed in a very irregular way amongst the integers, but it is possible to produce a simple formul...
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cena:
442,46 |
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Introduction to the Geometry of Complex Numbers
ISBN: 9780486466293 / Angielski / Miękka / 208 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Geared toward readers unfamiliar with complex numbers, this text explains how to solve the kinds of problems that frequently arise in the applied sciences, especially electrical studies. To assure an easy and complete understanding, it develops topics from the beginning, with emphasis on constructions related to algebraic operations.
The three-part treatment begins with geometric representations of complex numbers and proceeds to an in-depth survey of elements of analytic geometry. Readers are assured of a variety of perspectives, which include references to algebra, to the classical... Geared toward readers unfamiliar with complex numbers, this text explains how to solve the kinds of problems that frequently arise in the applied scie...
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cena:
57,61 |
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Algorithmic Number Theory: 4th International Symposium, Ants-IV Leiden, the Netherlands, July 2-7, 2000 Proceedings
ISBN: 9783540676959 / Angielski / Miękka / 612 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book constitutes the refereed proceedings of the 4th International Algorithmic Number Theory Symposium, ANTS-IV, held in Leiden, The Netherlands, in July 2000.The book presents 36 contributed papers which have gone through a thorough round of reviewing, selection and revision. Also included are 4 invited survey papers. Among the topics addressed are gcd algorithms, primality, factoring, sieve methods, cryptography, linear algebra, lattices, algebraic number fields, class groups and fields, elliptic curves, polynomials, function fields, and power sums.
This book constitutes the refereed proceedings of the 4th International Algorithmic Number Theory Symposium, ANTS-IV, held in Leiden, The Netherlands,...
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cena:
402,53 |
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The Solution of the k(GV) Problem
ISBN: 9781860949708 / Angielski / Twarda / 248 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The k(GV) conjecture claims that the number of conjugacy classes (irreducible characters) of the semidirect product GV is bounded above by the order of V. Here V is a finite vector space and G a subgroup of GL(V) of order prime to that of V. It may be regarded as the special case of Brauer's celebrated k(B) problem dealing with p-blocks B of p-solvable groups (p a prime). Whereas Brauer's problem is still open in its generality, the k(GV) problem has recently been solved, completing the work of a series of authors over a period of more than forty years. In this book the...
The k(GV) conjecture claims that the number of conjugacy classes (irreducible characters) of the semidirect product GV is bounded above by the order o...
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cena:
509,37 |
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Polynomial Mappings
ISBN: 9783540594352 / Angielski / Miękka / 140 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The book deals with certain algebraic and arithmetical questions concerning polynomial mappings in one or several variables. Algebraic properties of the ring Int(R) of polynomials mapping a given ring R into itself are presented in the first part, starting with classical results of Polya, Ostrowski and Skolem. The second part deals with fully invariant sets of polynomial mappings F in one or several variables, i.e. sets X satisfying F(X)=X . This includes in particular a study of cyclic points of such mappings in the case of rings of algebrai integers. The text contains several exercises and...
The book deals with certain algebraic and arithmetical questions concerning polynomial mappings in one or several variables. Algebraic properties of t...
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cena:
100,44 |
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Mahler Functions and Transcendence
ISBN: 9783540614722 / Angielski / Miękka / 191 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is the first comprehensive treatise of the transcendence theory of Mahler functions and their values. Recently the theory has seen profound development and has found a diversity of applications. The book assumes a background in elementary field theory, p-adic field, algebraic function field of one variable and rudiments of ring theory. The book is intended for both graduate students and researchers who are interested in transcendence theory. It will lay the foundations of the theory of Mahler functions and provide a source of further research.
This book is the first comprehensive treatise of the transcendence theory of Mahler functions and their values. Recently the theory has seen profound ...
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cena:
120,57 |
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Moduli of Abelian Varieties
ISBN: 9783540620235 / Angielski / Miękka / 202 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is a book aimed at researchers and advanced graduate students in algebraic geometry, interested in learning about a promising direction of research in algebraic geometry. It begins with a generalization of parts of Mumford's theory of the equations defining abelian varieties and moduli spaces. It shows through striking examples how one can use these apparently intractable systems of equations to obtain satisfying insights into the geometry and arithmetic of these varieties. It also introduces the reader to some aspects of the research of the first author into representation theory and...
This is a book aimed at researchers and advanced graduate students in algebraic geometry, interested in learning about a promising direction of resear...
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cena:
140,70 |
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Elliptic Functions
ISBN: 9780521780780 / Angielski / Twarda / 404 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In its first six chapters, this text presents the basic ideas and properties of the Jacobi elliptic functions as a historical essay. Accordingly, it is based on the idea of inverting integrals which arise in the theory of differential equations and, in particular, the differential equation that describes the motion of a simple pendulum. The later chapters present a more conventional approach to the Weierstrass functions and to elliptic integrals, and the reader is introduced to the richly varied applications of the elliptic and related functions.
In its first six chapters, this text presents the basic ideas and properties of the Jacobi elliptic functions as a historical essay. Accordingly, it i...
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cena:
850,77 |
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Automorphic Forms and Lie Superalgebras
ISBN: 9781402050091 / Angielski / Twarda / 278 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A principal ingredient in the proof of the Moonshine Theorem, connecting the Monster group to modular forms, is the infinite dimensional Lie algebra of physical states of a chiral string on an orbifold of a 26 dimensional torus, called the Monster Lie algebra. It is a Borcherds-Kac-Moody Lie algebra with Lorentzian root lattice; and has an associated automorphic form having a product expansion describing its structure. Lie superalgebras are generalizations of Lie algebras, useful for depicting supersymmetry - the symmetry relating fermions and bosons. Most known examples of Lie... A principal ingredient in the proof of the Moonshine Theorem, connecting the Monster group to modular forms, is the infinite dimensional Lie algebr... |
cena:
201,24 |
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The Andrews Festschrift: Seventeen Papers on Classical Number Theory and Combinatorics
ISBN: 9783540414919 / Angielski / Miękka / 426 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book contains seventeen contributions made to George Andrews on the occasion of his sixtieth birthday, ranging from classical number theory (the theory of partitions) to classical and algebraic combinatorics. Most of the papers were read at the 42nd session of the Seminaire Lotharingien de Combinatoire that took place at Maratea, Basilicata, in August 1998.
This volume contains a long memoir on Ramanujan's Unpublished Manuscript and the Tau functions studied with a contemporary eye, together with several papers dealing with the theory of partitions. There is also a description of a... This book contains seventeen contributions made to George Andrews on the occasion of his sixtieth birthday, ranging from classical number theory (the ...
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cena:
402,53 |
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Vector Bundles on Curves - New Directions: Lectures Given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.), Held in Cetrar
ISBN: 9783540624011 / Angielski / Miękka / 198 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The book gives a survey of some recent developments in the theory of bundles on curves arising out of the work of Drinfeld and from insights coming from Theoretical Physics. It deals with: 1. The relation between conformal blocks and generalised theta functions (Lectures by S. Kumar) 2. Drinfeld Shtukas (Lectures by G. Laumon) 3. Drinfeld modules and Elliptic Sheaves (Lectures by U. Stuhler) The latter topics are useful in connection with Langlands programme for function fields. The contents of the book would give a comprehensive introduction of these topics to graduate students and...
The book gives a survey of some recent developments in the theory of bundles on curves arising out of the work of Drinfeld and from insights coming fr...
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cena:
120,57 |
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The Selberg Trace Formula for Psl (2, R): Volume 1
ISBN: 9783540079880 / Angielski / Miękka / 520 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
cena:
132,80 |
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Discrete Mathematics: Elementary and Beyond
ISBN: 9780387955858 / Angielski / Miękka / 284 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Discrete mathematics is quickly becoming one of the most important areas of mathematical research, with applications to cryptography, linear programming, coding theory and the theory of computing. This book is aimed at undergraduate mathematics and computer science students interested in developing a feeling for what mathematics is all about, where mathematics can be helpful, and what kinds of questions mathematicians work on. The authors discuss a number of selected results and methods of discrete mathematics, mostly from the areas of combinatorics and graph theory, with a little number... Discrete mathematics is quickly becoming one of the most important areas of mathematical research, with applications to cryptography, linear progra... |
cena:
201,24 |
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The Mysteries of the Real Prime
ISBN: 9780198508687 / Angielski / Twarda / 256 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this important and original monograph, useful for both academic and professional researchers and students of mathematics and physics, the author describes his work on the Riemann zeta function and its adelic interpretation. It provides an original point of view, bringing new, highly useful dictionaries between different fields of mathematics. It develops an arithmetical approach to the continuum of real numbers and unifies many areas of mathematics including: Markov Chains, q-series, Elliptic curves, the Heisenberg group, quantum groups, and special functions (such as the Gamma, Beta,...
In this important and original monograph, useful for both academic and professional researchers and students of mathematics and physics, the author de...
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cena:
725,50 |
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Cryptic Cross Numbers
ISBN: 9781899618781 / Angielski / Miękka / 66 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Extending the principle of cross numbers, these puzzles aim at those of above average mathematical ability, particularly those who enjoy games of strategy. Written from a classroom perspective, the puzzles focus on key aspects of the curriculum and are graded according to difficulty. Solved deductively, the puzzles difficulty can be moderated by using hints provided. Extending the principle of cross numbers, these puzzles aim at those of above average mathematical ability, particularly those who enjoy games of s... |
cena:
72,83 |
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