Download or read book Journal de th orie des nombres de Bordeaux written by and published by . This book was released on 2005 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Seminaire de Theorie Des Nombres 1986 1987 written by Université de Bordeaux and published by . This book was released on 1987 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book S minaire de th orie des nombres de Bordeaux written by and published by . This book was released on 1991 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Algorithmic Number Theory written by Duncan Buell and published by Springer Science & Business Media. This book was released on 2004-06 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Public Key Cryptography PKC 2010 written by Phong Q. Nguyen and published by Springer Science & Business Media. This book was released on 2010-05-20 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Positivity in Arakelov Geometry over Adelic Curves written by Huayi Chen and published by Springer Nature. This book was released on with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Matters Computational written by Jörg Arndt and published by Springer Science & Business Media. This book was released on 2010-10-01 with total page 980 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Sphere Packings Lattices and Groups written by John Conway and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 778 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Analytic Number Theory written by Jean-Marie De Koninck and published by American Mathematical Society. This book was released on 2023-07-31 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Computer Algebra in Quantum Field Theory written by Carsten Schneider and published by Springer Science & Business Media. This book was released on 2013-10-05 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Formal Languages Automata and Numeration Systems 1 written by Michel Rigo and published by John Wiley & Sons. This book was released on 2014-09-10 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formal Languages, Automaton and Numeration Systems presents readers with a review of research related to formal language theory, combinatorics on words or numeration systems, such as Words, DLT (Developments in Language Theory), ICALP, MFCS (Mathematical Foundation of Computer Science), Mons Theoretical Computer Science Days, Numeration, CANT (Combinatorics, Automata and Number Theory). Combinatorics on words deals with problems that can be stated in a non-commutative monoid, such as subword complexity of finite or infinite words, construction and properties of infinite words, unavoidable regularities or patterns. When considering some numeration systems, any integer can be represented as a finite word over an alphabet of digits. This simple observation leads to the study of the relationship between the arithmetical properties of the integers and the syntactical properties of the corresponding representations. One of the most profound results in this direction is given by the celebrated theorem by Cobham. Surprisingly, a recent extension of this result to complex numbers led to the famous Four Exponentials Conjecture. This is just one example of the fruitful relationship between formal language theory (including the theory of automata) and number theory.
Download or read book Formal Languages Automata and Numeration Systems 2 written by Michel Rigo and published by John Wiley & Sons. This book was released on 2014-09-10 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interplay between words, computability, algebra and arithmetic has now proved its relevance and fruitfulness. Indeed, the cross-fertilization between formal logic and finite automata (such as that initiated by J.R. Büchi) or between combinatorics on words and number theory has paved the way to recent dramatic developments, for example, the transcendence results for the real numbers having a "simple" binary expansion, by B. Adamczewski and Y. Bugeaud. This book is at the heart of this interplay through a unified exposition. Objects are considered with a perspective that comes both from theoretical computer science and mathematics. Theoretical computer science offers here topics such as decision problems and recognizability issues, whereas mathematics offers concepts such as discrete dynamical systems. The main goal is to give a quick access, for students and researchers in mathematics or computer science, to actual research topics at the intersection between automata and formal language theory, number theory and combinatorics on words. The second of two volumes on this subject, this book covers regular languages, numeration systems, formal methods applied to decidability issues about infinite words and sets of numbers.
Download or read book Developments in Language Theory written by Grzegorz Rozenberg and published by World Scientific. This book was released on 2000 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of formal languages is one of the oldest branches of theoretical computer science. Its original aim (in the fifties and sixties) was to clarify the laws and algorithms that underlie the definition and compilation of programming languages. Since then, formal language theory has changed very much. Today it includes mathematical topics like combinatorics of words, word equations, and coding theory, but it also covers connections to linguistics (for example, the study of contextual grammars), new computational paradigms (like DNA computing), and a wide range of applications, among them hypertext processing, database theory, and formal program verification. Many of these themes of modern formal language theory are represented in this volume.
Download or read book Algorithmic Number Theory written by Joe P. Buhler and published by Springer Science & Business Media. This book was released on 1998-06-05 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of diagnostic nuclear medicine has changed significantly during the past decade. This volume is designed to present the student and the professional with a comprehensive update of recent developments not found in other textbooks on the subject. The various clinical applications of nuclear medicine techniques are extensively considered, and due attention is given also to radiopharmaceuticals, equipment and instrumentation, reconstruction techniques and the principles of gene imaging.
Download or read book Developments In Language Theory Foundations Applications And Perspectives Proceedings Of The 4th International Conference written by Grzegorz Rozenberg and published by World Scientific. This book was released on 2000-11-07 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of formal languages is one of the oldest branches of theoretical computer science. Its original aim (in the fifties and sixties) was to clarify the laws and algorithms that underlie the definition and compilation of programming languages. Since then, formal language theory has changed very much. Today it includes mathematical topics like combinatorics of words, word equations, and coding theory, but it also covers connections to linguistics (for example, the study of contextual grammars), new computational paradigms (like DNA computing), and a wide range of applications, among them hypertext processing, database theory, and formal program verification. Many of these themes of modern formal language theory are represented in this volume.
Download or read book Developments in Language Theory written by Masami Ito and published by Springer Science & Business Media. This book was released on 2008-09-04 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 12th International Conference on Developments in Language Theory, DLT 2008, held in Kyoto, Japan, September 2008. The 36 revised full papers presented together with 6 invited papers were carefully reviewed and selected from 102 submissions. All important issues in language theory are addressed including grammars, acceptors and transducers for words, trees and graphs; algebraic theories of automata; algorithmic, combinatorial and algebraic properties of words and languages; variable length codes; symbolic dynamics; cellular automata; polyominoes and multidimensional patterns; decidability questions; image manipulation and compression; efficient text algorithms; relationships to cryptography, concurrency, complexity theory and logic; bio-inspired computing; quantum computing.
Download or read book Computer Algebra written by Wolfram Koepf and published by Springer Nature. This book was released on 2021-08-12 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers an algorithmic introduction to the field of computer algebra. A leading expert in the field, the author guides readers through numerous hands-on tutorials designed to build practical skills and algorithmic thinking. This implementation-oriented approach equips readers with versatile tools that can be used to enhance studies in mathematical theory, applications, or teaching. Presented using Mathematica code, the book is fully supported by downloadable sessions in Mathematica, Maple, and Maxima. Opening with an introduction to computer algebra systems and the basics of programming mathematical algorithms, the book goes on to explore integer arithmetic. A chapter on modular arithmetic completes the number-theoretic foundations, which are then applied to coding theory and cryptography. From here, the focus shifts to polynomial arithmetic and algebraic numbers, with modern algorithms allowing the efficient factorization of polynomials. The final chapters offer extensions into more advanced topics: simplification and normal forms, power series, summation formulas, and integration. Computer Algebra is an indispensable resource for mathematics and computer science students new to the field. Numerous examples illustrate algorithms and their implementation throughout, with online support materials to encourage hands-on exploration. Prerequisites are minimal, with only a knowledge of calculus and linear algebra assumed. In addition to classroom use, the elementary approach and detailed index make this book an ideal reference for algorithms in computer algebra.
