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Local Newforms for GSp(4)
ISBN: 9783540733232 / Angielski / Miękka / 324 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Local Newforms for GSp(4) describes a theory of new- and oldforms for representations of GSp(4) over a non-archimedean local field. This theory considers vectors fixed by the paramodular groups and singles out certain vectors that encode canonical information, such as L-factors and epsilon-factors, through their Hecke and Atkin-Lehner eigenvalues. An appendix includes extensive tables about the results and the representations theory of GSp(4). Local Newforms for GSp(4) describes a theory of new- and oldforms for representations of GSp(4) over a non-archimedean local field. This theory con... |
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201,24 |
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Algorithmic Number Theory: Second International Symposium, Ants-II, Talence, France, May 18 - 23, 1996, Proceedings
ISBN: 9783540615811 / Angielski / Miękka / 414 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book constitutes the refereed post-conference proceedings of the Second International Algorithmic Number Theory Symposium, ANTS-II, held in Talence, France in May 1996.
The 35 revised full papers included in the book were selected from a variety of submissions. They cover a broad spectrum of topics and report state-of-the-art research results in computational number theory and complexity theory. Among the issues addressed are number fields computation, Abelian varieties, factoring algorithms, finite fields, elliptic curves, algorithm complexity, lattice theory, and coding. This book constitutes the refereed post-conference proceedings of the Second International Algorithmic Number Theory Symposium, ANTS-II, held in Talen...
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201,24 |
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Borcherds Products on O(2, L) and Chern Classes of Heegner Divisors
ISBN: 9783540433200 / Angielski / Miękka / 156 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Around 1994 R. Borcherds discovered a new type of meromorphic modular form on the orthogonal group $O(2, n)$. These "Borcherds products" have infinite product expansions analogous to the Dedekind eta-function. They arise as multiplicative liftings of elliptic modular forms on $(SL)_2(R)$. The fact that the zeros and poles of Borcherds products are explicitly given in terms of Heegner divisors makes them interesting for geometric and arithmetic applications. In the present text the Borcherds' construction is extended to Maass wave forms and is used to study the Chern classes of Heegner...
Around 1994 R. Borcherds discovered a new type of meromorphic modular form on the orthogonal group $O(2, n)$. These "Borcherds products" have infinite...
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140,70 |
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Diophantine Approximations
ISBN: 9780486462677 / Angielski / Miękka / 68 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This self-contained treatment originated as a series of lectures delivered to the Mathematical Association of America. It covers basic results on homogeneous approximation of real numbers; the analogue for complex numbers; basic results for nonhomogeneous approximation in the real case; the analogue for complex numbers; and fundamental properties of the multiples of an irrational number, for both the fractional and integral parts.
The author refrains from the use of continuous fractions and includes basic results in the complex case, a feature often neglected in favor of the real number... This self-contained treatment originated as a series of lectures delivered to the Mathematical Association of America. It covers basic results on homo...
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30,14 |
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Algebraic Theory of Numbers: Translated from the French by Allan J. Silberger
ISBN: 9780486466668 / Angielski / Miękka / 109 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Algebraic number theory introduces students not only to new algebraic notions but also to related concepts: groups, rings, fields, ideals, quotient rings and quotient fields, homomorphisms and isomorphisms, modules, and vector spaces. Author Pierre Samuel notes that students benefit from their studies of algebraic number theory by encountering many concepts fundamental to other branches of mathematics -- algebraic geometry, in particular.
This book assumes a knowledge of basic algebra but supplements its teachings with brief, clear explanations of integrality, algebraic extensions of... Algebraic number theory introduces students not only to new algebraic notions but also to related concepts: groups, rings, fields, ideals, quotient ri...
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41,51 |
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Rational Quadratic Forms
ISBN: 9780486466705 / Angielski / Miękka / 413 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This exploration of quadratic forms over rational numbers and rational integers offers an excellent elementary introduction to many aspects of a classical subject, including recent developments. The author, a Professor Emeritus at Trinity College, University of Cambridge, offers a largely self-contained treatment that develops most of the prerequisites.Topics include the theory of quadratic forms over local fields, forms with integral coefficients, genera and spinor genera, reduction theory for definite forms, and Gauss' composition theory. The final chapter explains how to formulate the...
This exploration of quadratic forms over rational numbers and rational integers offers an excellent elementary introduction to many aspects of a class...
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86,99 |
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Algorithmic Number Theory: Third International Symposium, Ants-III, Portland, Orgeon, Usa, June 21-25, 1998, Proceedings
ISBN: 9783540646570 / Angielski / Miękka / 646 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book constitutes the refereed proceedings of the Third International Symposium on Algorithmic Number Theory, ANTS-III, held in Portland, Oregon, USA, in June 1998.
The volume presents 46 revised full papers together with two invited surveys. The papers are organized in chapters on gcd algorithms, primality, factoring, sieving, analytic number theory, cryptography, linear algebra and lattices, series and sums, algebraic number fields, class groups and fields, curves, and function fields. This book constitutes the refereed proceedings of the Third International Symposium on Algorithmic Number Theory, ANTS-III, held in Portland, Oregon, ...
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402,53 |
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Modular Functions of One Variable III: Proceedings International Summer School, University of Antwerp, Ruca, July 17 - August 3, 1972
ISBN: 9783540064831 / Angielski / Miękka / 350 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is Volume 3 of the Proceedings of the Interna- tional Summer School on "Modular functions of one variable and arithmetical applications" which took place at RUCA, Antwerp University, from July 17 to August 3, 1972. It contains papers by P.Cartier- .Roy, B.Dwork, N.Katz, J-P.Serre and H.P.F.Swinnerton-Dyer on congruence proper- ties of modular forms, l-adic representations, p-adic modular forms and p-adic zeta functions. W.Kuyk J-P.Serre CONTENTS H.P.F. SWINNERTON-DYER On l-adic representations and congruences for coefficients 1 of modular forms B. DWORK The Up operator of Atkin on...
This is Volume 3 of the Proceedings of the Interna- tional Summer School on "Modular functions of one variable and arithmetical applications" which to...
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261,63 |
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Siegel's Modular Forms and Dirichlet Series: Course Given at the University of Maryland, 1969 - 1970
ISBN: 9783540055631 / Angielski / Miękka / 328 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. "Siegel's Modular Forms and Dirichlet Series".
"Siegel's Modular Forms and Dirichlet Series".
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160,83 |
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The Theory of Arithmetic Functions: Proceedings of the Conference at Western Michigan University, April 29 - May 1, 1971
ISBN: 9783540057239 / Angielski / Miękka / 292 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
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140,70 |
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Algorithmic Number Theory: 5th International Symposium, Ants-V, Sydney, Australia, July 7-12, 2002. Proceedings
ISBN: 9783540438632 / Angielski / Miękka / 522 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. TheAlgorithmicNumberTheorySymposiabeganin1994atCornellUniversity inIthaca, NewYorktorecognizethegrowingimportanceofalgorithmicwork in the theory of numbers. The subject of the conference is broadly construed toencompassadiversebodyofmathematics, andtocoverboththetheoretical andpracticaladvancesinthe?eld. Theyhavebeenheldeverytwoyearssince: inBordeaux(UniversiteBordeauxI)in1996, Portland(ReedCollege)in1998, Leiden(UniversiteitLeiden)in2000, andthepresentconferencehostedbythe MagmaComputationalAlgebraGroupattheUniversityofSydney. TheconferenceprogramincludedinvitedtalksbyManjulBhargava(Prin-...
TheAlgorithmicNumberTheorySymposiabeganin1994atCornellUniversity inIthaca, NewYorktorecognizethegrowingimportanceofalgorithmicwork in the theory of nu...
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201,24 |
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Spectral Theory of the Riemann Zeta-Function
ISBN: 9780521058070 / Angielski / Miękka / 240 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This ground-breaking work combines the classic (the zeta-function) with the modern (the spectral theory) to create a comprehensive but elementary treatment of spectral resolution. The story starts with a basic but unabridged treatment of the spectral resolution of the non-Euclidean Laplacian and the trace formulas. The author achieves this by the use of standard tools from analysis rather than any heavy machinery, forging a substantial aid for beginners in spectral theory. These ideas are then utilized to unveil a new image of the zeta-function, revealing it as the main gem of a necklace...
This ground-breaking work combines the classic (the zeta-function) with the modern (the spectral theory) to create a comprehensive but elementary trea...
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320,26 |
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Duality in Analytic Number Theory
ISBN: 9780521058087 / Angielski / Miękka / 360 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this stimulating book, Elliott demonstrates a method and a motivating philosophy that combine to cohere a large part of analytic number theory, including the hitherto nebulous study of arithmetic functions. Besides its application, the book also illustrates a way of thinking mathematically: The author weaves historical background into the narrative, while variant proofs illustrate obstructions, false steps and the development of insight in a manner reminiscent of Euler. He demonstrates how to formulate theorems as well as how to construct their proofs. Elementary notions from functional...
In this stimulating book, Elliott demonstrates a method and a motivating philosophy that combine to cohere a large part of analytic number theory, inc...
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324,77 |
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Realizations of Polylogarithms
ISBN: 9783540624608 / Angielski / Miękka / 344 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Classically, higher logarithms appear as multivalued functions on the projective line. Today they can be interpreted as entries of the period matrix of a certain variation of Hodge structure, itself called the "polylogarithm." The aim of the book is to document the sheaf-theoretical foundations of the field of polylogarithms. Earlier, partly unpublished results and constructions of Beilinson, Deligne, and Levin on the classical and elliptic polylog are generalized to the context of Shimura varieties. The reader is expected to have a sound background in algebraic geometry. Large parts of the...
Classically, higher logarithms appear as multivalued functions on the projective line. Today they can be interpreted as entries of the period matrix o...
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201,24 |
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Sequences, Discrepancies and Applications
ISBN: 9783540626060 / Angielski / Miękka / 506 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The main purpose of this book is to give an overview of the developments during the last 20 years in the theory of uniformly distributed sequences. The authors focus on various aspects such as special sequences, metric theory, geometric concepts of discrepancy, irregularities of distribution, continuous uniform distribution and uniform distribution in discrete spaces. Specific applications are presented in detail: numerical integration, spherical designs, random number generation and mathematical finance. Furthermore over 1000 references are collected and discussed. While written in the style...
The main purpose of this book is to give an overview of the developments during the last 20 years in the theory of uniformly distributed sequences. Th...
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342,14 |
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Cubic Metaplectic Forms and Theta Functions
ISBN: 9783540637516 / Angielski / Miękka / 200 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The book is an introduction to the theory of cubic metaplectic forms on the 3-dimensional hyperbolic space and the author's research on cubic metaplectic forms on special linear and symplectic groups of rank 2. The topics include: Kubota and Bass-Milnor-Serre homomorphisms, cubic metaplectic Eisenstein series, cubic theta functions, Whittaker functions. A special method is developed and applied to find Fourier coefficients of the Eisenstein series and cubic theta functions. The book is intended for readers, with beginning graduate-level background, interested in further research in the theory...
The book is an introduction to the theory of cubic metaplectic forms on the 3-dimensional hyperbolic space and the author's research on cubic metaplec...
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181,11 |
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Journées Arithmétiques 1980
ISBN: 9780521285131 / Angielski / Miękka / 412 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. For a number of years, French mathematicians have run regular number theory conferences to which they have invited number theorists from many countries. To repay their hospitality, the London Mathematical Society arranged for the 1980 'Journees Arithmeiques' to be held in Exeter. The papers published here are either based on the main invited lectures or on selected research talks given at the conference. They cover all branches of the subject: combinatorial and elementary methods; analytic number theory; transcendence theory; Galois module theory and algebraic number theory in general;...
For a number of years, French mathematicians have run regular number theory conferences to which they have invited number theorists from many countrie...
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446,55 |
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Combinatorial Number Theory: Proceedings of the Integers Conference 2011, Carrollton, Georgia, Usa, October 26-29, 2011
ISBN: 9783110280487 / Angielski / Twarda / 166 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume contains selected refereed papers based on lectures presented at the "Integers Conference 2011," an international conference in combinatorial number theory that was held in Carrollton, Georgia, United States in October 2011. This was the fifth Integers Conference, held bi-annually since 2003. It featured plenary lectures presented by Ken Ono, Carla Savage, Laszlo Szekely, Frank Thorne, and Julia Wolf, along with sixty other research talks. This volume consists of ten refereed articles, which are expanded and revised versions of talks presented at the conference. They... This volume contains selected refereed papers based on lectures presented at the "Integers Conference 2011," an international conference in combina... |
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849,66 |
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Van Der Corput's Method of Exponential Sums
ISBN: 9780521339278 / Angielski / Miękka / 132 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is a self-contained account of the one- and two-dimensional van der Corput method and its use in estimating exponential sums.
This book is a self-contained account of the one- and two-dimensional van der Corput method and its use in estimating exponential sums.
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320,26 |
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A Number for your Thoughts: Facts and Speculations About Numbers from Euclid to the Latest Computers
ISBN: 9780852744956 / Angielski / Miękka / 392 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Why do we count the way we do? What is a prime number or a friendly, perfect, or weird one? How many are there and who has found the largest yet known? What is the Baffling Law of Benford and can you really believe it? Do most numbers you meet in every day life really begin with a 1, 2, or 3? What is so special about 6174? Can cubes, as well as squares, be magic? What secrets lie hidden in decimals? How do we count the infinite, and is one infinity really larger than another?
These and many other fascinating questions about the familiar 1, 2, and 3 are collected in this adventure into the... Why do we count the way we do? What is a prime number or a friendly, perfect, or weird one? How many are there and who has found the largest yet known...
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cena:
154,76 |
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