Journal de théorie des nombres de Bordeaux
Author | : |
Publisher | : |
Total Pages | : 256 |
Release | : 2005 |
Genre | : Number theory |
ISBN | : |
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Author | : |
Publisher | : |
Total Pages | : 256 |
Release | : 2005 |
Genre | : Number theory |
ISBN | : |
Author | : Université de Bordeaux |
Publisher | : |
Total Pages | : 5 |
Release | : 1987 |
Genre | : |
ISBN | : |
Author | : |
Publisher | : |
Total Pages | : 506 |
Release | : 1991 |
Genre | : Number theory |
ISBN | : |
Author | : Duncan Buell |
Publisher | : Springer Science & Business Media |
Total Pages | : 461 |
Release | : 2004-06 |
Genre | : Computers |
ISBN | : 3540221565 |
This book constitutes the refereed proceedings of the 6th International Algorithmic Number Theory Symposium, ANTS 2004, held in Burlington, VT, USA, in June 2004. The 30 revised full papers presented together with 3 invited papers were carefully reviewed and selected for inclusion in the book. Among the topics addressed are zeta functions, elliptic curves, hyperelliptic curves, GCD algorithms, number field computations, complexity, primality testing, Weil and Tate pairings, cryptographic algorithms, function field sieve, algebraic function field mapping, quartic fields, cubic number fields, lattices, discrete logarithms, and public key cryptosystems.
Author | : Phong Q. Nguyen |
Publisher | : Springer Science & Business Media |
Total Pages | : 530 |
Release | : 2010-05-20 |
Genre | : Business & Economics |
ISBN | : 3642130127 |
This book constitutes the refereed proceedings of the 13th International Conference on Practice and Theory in Public Key Cryptography, PKC 2010, held in Paris, France, in May 2010. The 29 revised full papers presented were carefully reviewed and selected from 145 submissions. The papers are organized in topical sections on encryption; cryptanalysis; protocols; network coding; tools; elliptic curves; lossy trapdoor functions; discrete logarithm; and signatures.
Author | : Huayi Chen |
Publisher | : Springer Nature |
Total Pages | : 248 |
Release | : |
Genre | : |
ISBN | : 3031616685 |
Author | : Jörg Arndt |
Publisher | : Springer Science & Business Media |
Total Pages | : 980 |
Release | : 2010-10-01 |
Genre | : Computers |
ISBN | : 364214764X |
This book provides algorithms and ideas for computationalists. Subjects treated include low-level algorithms, bit wizardry, combinatorial generation, fast transforms like the Fourier transform, and fast arithmetic for both real numbers and finite fields. Various optimization techniques are described and the actual performance of many given implementations is examined. The focus is on material that does not usually appear in textbooks on algorithms. The implementations are done in C++ and the GP language, written for POSIX-compliant platforms such as the Linux and BSD operating systems.
Author | : John Conway |
Publisher | : Springer Science & Business Media |
Total Pages | : 778 |
Release | : 2013-06-29 |
Genre | : Mathematics |
ISBN | : 1475765681 |
The third edition of this definitive and popular book continues to pursue the question: what is the most efficient way to pack a large number of equal spheres in n-dimensional Euclidean space? The authors also examine such related issues as the kissing number problem, the covering problem, the quantizing problem, and the classification of lattices and quadratic forms. There is also a description of the applications of these questions to other areas of mathematics and science such as number theory, coding theory, group theory, analogue-to-digital conversion and data compression, n-dimensional crystallography, dual theory and superstring theory in physics. New and of special interest is a report on some recent developments in the field, and an updated and enlarged supplementary bibliography with over 800 items.
Author | : Jean-Marie De Koninck |
Publisher | : American Mathematical Society |
Total Pages | : 434 |
Release | : 2023-07-31 |
Genre | : Mathematics |
ISBN | : 1470473852 |
The authors assemble a fascinating collection of topics from analytic number theory that provides an introduction to the subject with a very clear and unique focus on the anatomy of integers, that is, on the study of the multiplicative structure of the integers. Some of the most important topics presented are the global and local behavior of arithmetic functions, an extensive study of smooth numbers, the Hardy-Ramanujan and Landau theorems, characters and the Dirichlet theorem, the $abc$ conjecture along with some of its applications, and sieve methods. The book concludes with a whole chapter on the index of composition of an integer. One of this book's best features is the collection of problems at the end of each chapter that have been chosen carefully to reinforce the material. The authors include solutions to the even-numbered problems, making this volume very appropriate for readers who want to test their understanding of the theory presented in the book.
Author | : Carsten Schneider |
Publisher | : Springer Science & Business Media |
Total Pages | : 422 |
Release | : 2013-10-05 |
Genre | : Science |
ISBN | : 3709116163 |
The book focuses on advanced computer algebra methods and special functions that have striking applications in the context of quantum field theory. It presents the state of the art and new methods for (infinite) multiple sums, multiple integrals, in particular Feynman integrals, difference and differential equations in the format of survey articles. The presented techniques emerge from interdisciplinary fields: mathematics, computer science and theoretical physics; the articles are written by mathematicians and physicists with the goal that both groups can learn from the other field, including most recent developments. Besides that, the collection of articles also serves as an up-to-date handbook of available algorithms/software that are commonly used or might be useful in the fields of mathematics, physics or other sciences.