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Author: Yuri K. Shestopaloff
Publisher: AKVY PRESS
Published: 2008
Total Pages: 158
ISBN-13: 098096671X
DOWNLOAD EBOOKShestopaloff proves new fundamental properties of sums of exponential functions and illustrates application of these properties to different kinds of natural phenomena, particularly applications in biology.
Author: Pascale Charpin
Publisher: Walter de Gruyter
Published: 2013-05-28
Total Pages: 288
ISBN-13: 3110283603
DOWNLOAD EBOOKThis book is based on the invited talks of the "RICAM-Workshop on Finite Fields and Their Applications: Character Sums and Polynomials" held at the Federal Institute for Adult Education (BIfEB) in Strobl, Austria, from September 2-7, 2012. Finite fields play important roles in many application areas such as coding theory, cryptography, Monte Carlo and quasi-Monte Carlo methods, pseudorandom number generation, quantum computing, and wireless communication. In this book we will focus on sequences, character sums, and polynomials over finite fields in view of the above mentioned application areas: Chapters 1 and 2 deal with sequences mainly constructed via characters and analyzed using bounds on character sums. Chapters 3, 5, and 6 deal with polynomials over finite fields. Chapters 4 and 9 consider problems related to coding theory studied via finite geometry and additive combinatorics, respectively. Chapter 7 deals with quasirandom points in view of applications to numerical integration using quasi-Monte Carlo methods and simulation. Chapter 8 studies aspects of iterations of rational functions from which pseudorandom numbers for Monte Carlo methods can be derived. The goal of this book is giving an overview of several recent research directions as well as stimulating research in sequences and polynomials under the unified framework of character theory.
Author: Yuri K. Shestopaloff
Publisher: AKVY PRESS
Published: 2010
Total Pages: 229
ISBN-13: 0981380026
DOWNLOAD EBOOKThe book considers properties of polynomial, exponential, logarithmic and power functions. It introduces and proves important relationships between these functions, which enhances the theory and greatly improves the range of theoretical and practical applications, such as the modeling of physical, societal or economical processes. Relationship of the considered functions with the physical reality is another primarily subject of this book. Lots of illustrations and examples based on physical, biological, societal phenomena constitute a substantial part of the book, that facilitates the understanding of introduced modeling concepts and methods. The book is an excellent supplementary material for mathematical and physical courses for undergraduate and graduate studies; a valuable resource for mathematicians working in areas of algebra and analysis. Engineers, researchers, analysts, who use these functions in modeling of different processes and phenomena, will greatly benefit from this book.
Author: Claude Carlet
Publisher: Springer Science & Business Media
Published: 2010-09
Total Pages: 474
ISBN-13: 3642158730
DOWNLOAD EBOOKThis volumecontainstherefereedproceedingsoftheSixth International Conf- ence on Sequences and Their Applications (SETA 2010), held in Paris, France, September 13-17, 2010. The previous ?ve conferences were held in Singapore (RepublicofSingapore),Bergen(Norway),Seoul(SouthKorea),Beijing(China) and Lexington (USA). Topics of SETA include: – Randomness of sequences – Correlation (periodic and aperiodic types) and combinatorial aspects of - quences (di?erence sets) – Sequences with applications in coding theory and cryptography – Sequences over ?nite ?elds/rings/function ?elds – Linear and nonlinear feedback shift register sequences – Sequences for radar distance ranging, synchronization, identi?cation, and hardware testing – Sequences for wireless communication – Pseudorandom sequence generators – Boolean and vectorial functions for sequences, coding and/or cryptography – Multidimensional sequences and their correlation properties – Linear and nonlinear complexity of sequences The Technical Program Committee of SETA 2010 refereed 56 submitted - pers. Each paper was reviewed by at least 2 referees (at least 3 when an author was a TPC member) and the TPC selected 33 papers to be presented at the conference. In addition, we had 4 invited papers, byRobert Calderbank(Prin- ton University, USA), James Massey (retired from ETH Zurich, Switzerland), Jong-Seon No (Seoul National University, South Korea) and Arne Winterhof ¨ (Osterreichische Akademie der Wissenschaften, Austria). TheCo-chairsoftheTPCwereClaudeCarlet(Universit´ eParis8,France)and Alexander Pott (Otto-von-Guericke-Universit¨ at, Magdeburg, Germany). They wish to thank the other members of the ProgramCommittee: Thierry P.
Author: G. R. H. Greaves
Publisher: Cambridge University Press
Published: 1997-01-30
Total Pages: 360
ISBN-13: 0521589576
DOWNLOAD EBOOKState-of-the-art analytic number theory proceedings.
Author: Sergei Konyagin
Publisher: Penguin Group
Published: 1999-09-02
Total Pages: 182
ISBN-13: 9780521642637
DOWNLOAD EBOOKA treatment of a lively topic from number theory for graduate students and researchers.
Author: Solomon W. Golomb
Publisher: Springer Science & Business Media
Published: 2008-09-04
Total Pages: 431
ISBN-13: 354085911X
DOWNLOAD EBOOKThis book constitutes the refereed proceedings of the 5th International Conference on Sequences and Their Applications, SETA 2008, held in Lexington, KY, USA in September 2008. The 32 revised full papers presented were carefully reviewed and selected. The papers are organized in topical sections on probabilistic methods and randomness properties of sequences; correlation; combinatorial and algebraic foundations; security aspects of sequences; algorithms; correlation of sequences over rings; nonlinear functions over finite fields.
Author: Robert R. Colby
Publisher: Cambridge University Press
Published: 2004-03-22
Total Pages: 170
ISBN-13: 9781139452434
DOWNLOAD EBOOKThis book provides a unified approach to much of the theories of equivalence and duality between categories of modules that has transpired over the last 45 years. In particular, during the past dozen or so years many authors (including the authors of this book) have investigated relationships between categories of modules over a pair of rings that are induced by both covariant and contravariant representable functors, in particular by tilting and cotilting theories. By here collecting and unifying the basic results of these investigations with innovative and easily understandable proofs, the authors' aim is to provide an aid to further research in this central topic in abstract algebra, and a reference for all whose research lies in this field.
Author: Colin Boyd
Publisher: Springer
Published: 2005-07-11
Total Pages: 598
ISBN-13: 3540316841
DOWNLOAD EBOOKACISP 2005 was held at Queensland University of Technology in Brisbane, during July 4–6, 2005.
Author: Daniel Lieman
Publisher: American Mathematical Soc.
Published: 2005
Total Pages: 194
ISBN-13: 0821833650
DOWNLOAD EBOOKThis collection of articles grew out of an expository and tutorial conference on public-key cryptography, held at the Joint Mathematics Meetings (Baltimore). The book provides an introduction and survey on public-key cryptography for those with considerable mathematical maturity and general mathematical knowledge. Its goal is to bring visibility to the cryptographic issues that fall outside the scope of standard mathematics. These mathematical expositions are intended for experienced mathematicians who are not well acquainted with the subject. The book is suitable for graduate students, researchers, and engineers interested in mathematical aspects and applications of public-key cryptography.
