This volume contains original research articles, survey articles and lecture notes related to the Computations with Modular Forms 2011 Summer School and Conference, held at the University of Heidelberg.
This book takes the reader on a mathematical journey, from a number-theoretic point of view, to the realm of Markov's theorem and the uniqueness conjecture, gradually unfolding many beautiful connections until everything falls into place in the proof of Markov's theorem.
Adapted from a modular undergraduate course on computational mathematics, Concise Computer Mathematics delivers an easily accessible, self-contained introduction to the basic notions of mathematics necessary for a computer science degree.
This unique book explores the world of q, known technically as basic hypergeometric series, and represents the author's personal and life-long study-inspired by Ramanujan-of aspects of this broad topic.
This book gives readers a deep insight into cryptography and discusses the various types of cryptography algorithms used for the encryption and decryption of data.
This carefully edited volume contains selected refereed papers based on lectures presented by many distinguished speakers at the "e;Integers Conference 2005"e;, an international conference in combinatorial number theory.
This book takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability.
This volume consists of seven papers related in various matters to the research work of Kostia Beidar , a distinguished ring theorist and professor of National Ching Kung University (NCKU).
This monograph gives a state-of-the-art and accessible treatment of a new general higher-dimensional theory of complex dimensions, valid for arbitrary bounded subsets of Euclidean spaces, as well as for their natural generalization, relative fractal drums.
This book summarizes recent inventions, provides guidelines and recommendations, and demonstrates many practical applications of homomorphic encryption.
This volume is the proceedings of the conference on Automorphic Representations, L-functions and Applications: Progress and Prospects, held at the Department of Mathematics of The Ohio State University, March 27-30, 2003, in honor of the 60th birthday of Steve Rallis.
The Proceedings contain twenty selected, refereed contributions arising from the International Conference on Public-Key Cryptography and Computational Number Theory held in Warsaw, Poland, on September 11-15, 2000.
These Proceedings contain 22 refereed research and survey articles based on lectures given at the Turku Symposium on Number Theory in Memory of Kustaa Inkeri, held in Turku, Finland, from May 31 to June 4, 1999.
This book presents several results on elliptic functions and Pi, using Jacobi's triple product identity as a tool to show suprising connections between different topics within number theory such as theta functions, Eisenstein series, the Dedekind delta function, and Ramanujan's work on Pi.
This book presents several results on elliptic functions and Pi, using Jacobi's triple product identity as a tool to show suprising connections between different topics within number theory such as theta functions, Eisenstein series, the Dedekind delta function, and Ramanujan's work on Pi.
Diese kompakte Einführung in die Gebiete der Analytischen Zahlentheorie, die den Primzahlsatz, den Satz über Primzahlen in arithmetischen Folgen und die Riemannsche zeta-Funktion zum Gegenstand hat, wurde für einen einsemestrigen Kurs für Studierende der Mathematik an der Universität Innsbruck konzipiert.
By connecting dynamical systems and number theory, this graduate textbook on ergodic theory acts as an introduction to a highly active area of mathematics, where a variety of strands of research open up.
By connecting dynamical systems and number theory, this graduate textbook on ergodic theory acts as an introduction to a highly active area of mathematics, where a variety of strands of research open up.
This book is summarizing the results of the workshop "e;Uniform Distribution and Quasi-Monte Carlo Methods"e; of the RICAM Special Semester on "e;Applications of Algebra and Number Theory"e; in October 2013.
This book is summarizing the results of the workshop "e;Uniform Distribution and Quasi-Monte Carlo Methods"e; of the RICAM Special Semester on "e;Applications of Algebra and Number Theory"e; in October 2013.
This book presents in a unified and concrete way the beautiful and deep mathematics - both theoretical and computational - on which the explicit solution of an elliptic Diophantine equation is based.
This volume contains selected refereed papers based on lectures presented at the "e;Integers Conference 2011"e;, an international conference in combinatorial number theory that was held in Carrollton, Georgia, United States in October 2011.
This book provides the first systematic treatment of modules over discrete valuation domains which plays an important role in various areas of algebra, especially in commutative algebra.
