Arithmetic of Diagonal Hypersurfaces Over Finite Fields PDF Download
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Author: Fernando Q. Gouvêa
Publisher: Cambridge University Press
ISBN: 0521498341
Category : Mathematics
Languages : en
Pages : 185
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Book Description
This book is concerned with the arithmetic of diagonal hypersurfaces over finite fields.
Author: Fernando Q. Gouvêa
Publisher: Cambridge University Press
ISBN: 0521498341
Category : Mathematics
Languages : en
Pages : 185
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Book Description
This book is concerned with the arithmetic of diagonal hypersurfaces over finite fields.
Author: Assistant Professor Department of Mathematics and Computer Science Fernando Q Gouvea
Publisher:
ISBN: 9781107362239
Category : MATHEMATICS
Languages : en
Pages : 183
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Book Description
This book is concerned with the arithmetic of diagonal hypersurfaces over finite fields.
Author: B. Brent Gordon
Publisher: Springer Science & Business Media
ISBN: 9780792361947
Category : Mathematics
Languages : en
Pages : 652
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Book Description
The subject of algebraic cycles has thrived through its interaction with algebraic K-theory, Hodge theory, arithmetic algebraic geometry, number theory, and topology. These interactions have led to such developments as a description of Chow groups in terms of algebraic K-theory, the arithmetic Abel-Jacobi mapping, progress on the celebrated conjectures of Hodge and Tate, and the conjectures of Bloch and Beilinson. The immense recent progress in algebraic cycles, based on so many interactions with so many other areas of mathematics, has contributed to a considerable degree of inaccessibility, especially for graduate students. Even specialists in one approach to algebraic cycles may not understand other approaches well. This book offers students and specialists alike a broad perspective of algebraic cycles, presented from several viewpoints, including arithmetic, transcendental, topological, motives and K-theory methods. Topics include a discussion of the arithmetic Abel-Jacobi mapping, higher Abel-Jacobi regulator maps, polylogarithms and L-series, candidate Bloch-Beilinson filtrations, applications of Chern-Simons invariants to algebraic cycles via the study of algebraic vector bundles with algebraic connection, motivic cohomology, Chow groups of singular varieties, and recent progress on the Hodge and Tate conjectures for Abelian varieties.
Author: Igor Shparlinski
Publisher: Springer Science & Business Media
ISBN: 940159239X
Category : Mathematics
Languages : en
Pages : 532
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Book Description
This book is mainly devoted to some computational and algorithmic problems in finite fields such as, for example, polynomial factorization, finding irreducible and primitive polynomials, the distribution of these primitive polynomials and of primitive points on elliptic curves, constructing bases of various types and new applications of finite fields to other areas of mathematics. For completeness we in clude two special chapters on some recent advances and applications of the theory of congruences (optimal coefficients, congruential pseudo-random number gener ators, modular arithmetic, etc.) and computational number theory (primality testing, factoring integers, computation in algebraic number theory, etc.). The problems considered here have many applications in Computer Science, Cod ing Theory, Cryptography, Numerical Methods, and so on. There are a few books devoted to more general questions, but the results contained in this book have not till now been collected under one cover. In the present work the author has attempted to point out new links among different areas of the theory of finite fields. It contains many very important results which previously could be found only in widely scattered and hardly available conference proceedings and journals. In particular, we extensively review results which originally appeared only in Russian, and are not well known to mathematicians outside the former USSR.
Author: M. Bachir Bekka
Publisher: Cambridge University Press
ISBN: 9780521660303
Category : Mathematics
Languages : en
Pages : 214
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Book Description
This book, first published in 2000, focuses on developments in the study of geodesic flows on homogenous spaces.
Author: C. M. Campbell
Publisher: Cambridge University Press
ISBN: 9780521655880
Category : Group theory
Languages : en
Pages : 396
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Book Description
Author: S. Barry Cooper
Publisher: Cambridge University Press
ISBN: 9780521635493
Category : Mathematics
Languages : en
Pages : 450
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Book Description
First of two volumes providing a comprehensive guide to mathematical logic.
Author: Lionel Mason
Publisher: Cambridge University Press
ISBN: 9780521529990
Category : Mathematics
Languages : en
Pages : 170
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Book Description
Articles from leading researchers to introduce the reader to cutting-edge topics in integrable systems theory.
Author: S. Barry Cooper
Publisher: Cambridge University Press
ISBN: 0521635500
Category : Computers
Languages : en
Pages : 433
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Book Description
Second of two volumes providing a comprehensive guide to the current state of mathematical logic.
Author: Jan W. Cholewa
Publisher: Cambridge University Press
ISBN: 0521794242
Category : Mathematics
Languages : en
Pages : 252
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Book Description
This book investigates the asymptotic behaviour of dynamical systems corresponding to parabolic equations.
