Characters And Cyclotomic Fields In Finite Geometry

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Characters And Cyclotomic Fields In Finite Geometry

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Author : Bernhard Schmidt
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-10-23

Characters And Cyclotomic Fields In Finite Geometry written by Bernhard Schmidt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-10-23 with Mathematics categories.

This monograph contributes to the existence theory of difference sets, cyclic irreducible codes and similar objects. The new method of field descent for cyclotomic integers of presribed absolute value is developed. Applications include the first substantial progress towards the Circulant Hadamard Matrix Conjecture and Ryser`s conjecture since decades. It is shown that there is no Barker sequence of length l with 13

Topics In Galois Fields

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Author : Dirk Hachenberger
language : en
Publisher: Springer Nature
Release Date : 2020-09-29

Topics In Galois Fields written by Dirk Hachenberger and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-29 with Mathematics categories.

This monograph provides a self-contained presentation of the foundations of finite fields, including a detailed treatment of their algebraic closures. It also covers important advanced topics which are not yet found in textbooks: the primitive normal basis theorem, the existence of primitive elements in affine hyperplanes, and the Niederreiter method for factoring polynomials over finite fields. We give streamlined and/or clearer proofs for many fundamental results and treat some classical material in an innovative manner. In particular, we emphasize the interplay between arithmetical and structural results, and we introduce Berlekamp algebras in a novel way which provides a deeper understanding of Berlekamp's celebrated factorization algorithm. The book provides a thorough grounding in finite field theory for graduate students and researchers in mathematics. In view of its emphasis on applicable and computational aspects, it is also useful for readers working in information and communication engineering, for instance, in signal processing, coding theory, cryptography or computer science.

Local Newforms For Gsp 4

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Author : Brooks Roberts
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-08-20

Local Newforms For Gsp 4 written by Brooks Roberts and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-20 with Mathematics categories.

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. While there are analogies to the GL(2) case, this theory is novel and unanticipated by the existing framework of conjectures. An appendix includes extensive tables about the results and the representation theory of GSp(4).

S Minaire De Probabilit S Xl

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Author : Catherine Donati-Martin
language : en
Publisher: Springer
Release Date : 2007-07-25

S Minaire De Probabilit S Xl written by Catherine Donati-Martin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-25 with Mathematics categories.

Who could have predicted that the S ́ eminaire de Probabilit ́ es would reach the age of 40? This long life is ?rst due to the vitality of the French probabil- tic school, for which the S ́ eminaire remains one of the most speci?c media of exchange. Another factor is the amount of enthusiasm, energy and time invested year after year by the R ́ edacteurs: Michel Ledoux dedicated himself tothistaskuptoVolumeXXXVIII,andMarcYormadehisnameinseparable from the S ́ eminaire by devoting himself to it during a quarter of a century. Browsing among the past volumes can only give a faint glimpse of how much is owed to them; keeping up with the standard they have set is a challenge to the new R ́ edaction. In a changing world where the status of paper and ink is questioned and where, alas, pressure for publishing is increasing, in particular among young mathematicians, we shall try and keep the same direction. Although most contributions are anonymously refereed, the S ́ eminaire is not a mathema- cal journal; our ?rst criterion is not mathematical depth, but usefulness to the French and international probabilistic community. We do not insist that everything published in these volumes should have reached its ?nal form or be original, and acceptance–rejection may not be decided on purely scienti?c grounds.

Weighted Littlewood Paley Theory And Exponential Square Integrability

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Author : Michael Wilson
language : en
Publisher: Springer
Release Date : 2007-12-31

Weighted Littlewood Paley Theory And Exponential Square Integrability written by Michael Wilson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-31 with Mathematics categories.

Littlewood-Paley theory extends some of the benefits of orthogonality to situations where it doesn’t make sense by letting certain oscillatory infinite series of functions be controlled in terms of infinite series of non-negative functions. Beginning in the 1980s, it was discovered that this control could be made much sharper. This book offers a gentle, well-motivated introduction to those discoveries, the methods behind them, their consequences, and some of their applications.

Entropy Methods For The Boltzmann Equation

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Author : Fraydoun Rezakhanlou
language : en
Publisher: Springer
Release Date : 2007-12-22

Entropy Methods For The Boltzmann Equation written by Fraydoun Rezakhanlou and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-22 with Mathematics categories.

Featuring updated versions of two research courses held at the Centre Émile Borel in Paris in 2001, this book describes the mathematical theory of convergence to equilibrium for the Boltzmann equation and its relation to various problems and fields. It also discusses four conjectures for the kinetic behavior of the hard sphere models and formulates four stochastic variations of this model, also reviewing known results for these.

Improved Bonferroni Inequalities Via Abstract Tubes

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Author : Klaus Dohmen
language : en
Publisher: Springer Science & Business Media
Release Date : 2003

Improved Bonferroni Inequalities Via Abstract Tubes written by Klaus Dohmen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Combinatorial analysis categories.

C Infinity Differentiable Spaces

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Author : Juan A. Navarro González
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-10-29

C Infinity Differentiable Spaces written by Juan A. Navarro González and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-10-29 with Mathematics categories.

The volume develops the foundations of differential geometry so as to include finite-dimensional spaces with singularities and nilpotent functions, at the same level as is standard in the elementary theory of schemes and analytic spaces. The theory of differentiable spaces is developed to the point of providing a handy tool including arbitrary base changes (hence fibred products, intersections and fibres of morphisms), infinitesimal neighbourhoods, sheaves of relative differentials, quotients by actions of compact Lie groups and a theory of sheaves of Fréchet modules paralleling the useful theory of quasi-coherent sheaves on schemes. These notes fit naturally in the theory of C^\infinity-rings and C^\infinity-schemes, as well as in the framework of Spallek’s C^\infinity-standard differentiable spaces, and they require a certain familiarity with commutative algebra, sheaf theory, rings of differentiable functions and Fréchet spaces.

Calculus Of Variations And Nonlinear Partial Differential Equations

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Author : Luigi Ambrosio
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-02

Calculus Of Variations And Nonlinear Partial Differential Equations written by Luigi Ambrosio and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-02 with Mathematics categories.

With a historical overview by Elvira Mascolo

Representation Theory And Complex Analysis

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Author : Michael Cowling
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-02-27

Representation Theory And Complex Analysis written by Michael Cowling and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-02-27 with Mathematics categories.

Six leading experts lecture on a wide spectrum of recent results on the subject of the title. They present a survey of various interactions between representation theory and harmonic analysis on semisimple groups and symmetric spaces, and recall the concept of amenability. They further illustrate how representation theory is related to quantum computing; and much more. Taken together, this volume provides both a solid reference and deep insights on current research activity.