This book provides an overview of the main results and problems concerning Diophantine m-tuples, i.e., sets of integers or rationals with the property that the product of any two of them is one less than a square, and their connections with el...Daugiau...
This book collects and explains the many theorems concerning the existence of certificates of positivity for polynomials that are positive globally or on semialgebraic sets. A certificate of positivity for a real polynomial is an algebraic id...Daugiau...
This book collects and explains the many theorems concerning the existence of certificates of positivity for polynomials that are positive globally or on semialgebraic sets. A certificate of positivity for a real polynomial is an algebraic id...Daugiau...
The most recent methods in various branches of lattice path and enumerative combinatorics along with relevant applications are nicely grouped together and represented in this research contributed volume. Contributions to this edited volume will be...Daugiau...
This unique book explores the world of q , known technically as basic hypergeometric series, and represents the authors personal and life-long study-inspired by Ramanujan-of aspects of this broad topic. While the level of mathematical sophistication...Daugiau...
This unique book explores the world of q, known technically as basic hypergeometric series, and represents the authors personal and life-long studyinspired by Ramanujanof aspects of this broad topic. While the level of mathematical sophisticati...Daugiau...
(Išleidimo metai: 09-Oct-2016, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781493938803)
This book reveiws the last two decades of computational techniques and progress in the classical theory of quadratic diophantine equations. Presents important quadratic diophantine equations and applications, and includes excellent examples and open...Daugiau...
The Lie Theory Workshop, founded by Joe Wolf (UC, Berkeley), has been running for over two decades. At the beginning, the top universities in California and Utah hosted the meetings, which continue to run on a quarterly basis. Experts in representati...Daugiau...
The Lie Theory Workshop, founded by Joe Wolf (UC, Berkeley), has been running for over two decades. These workshops have been sponsored by the NSF, noting the talks have been seminal in describing new perspectives in the field covering broad areas of...Daugiau...
Nestled between number theory, combinatorics, algebra and analysis lies a rapidly developing subject in mathematics variously known as additive combinatorics, additive number theory, additive group theory, and combinatorial number theory. Its main ob...Daugiau...
Krishnaswami Alladi, Manjul Bhargava, David Savitt, Pham Huu Tiep
Serija: Developments in Mathematics
(Išleidimo metai: 26-Aug-2015, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781493901449)
In the last decade, the areas of quadratic and higher degree forms have witnessed dramatic advances. This volume is an outgrowth of three seminal conferences on these topics held in 2009, two at the University of Florida and one at the Arizona Win...Daugiau...
Krishnaswami Alladi, Peter Paule, James Sellers, Ae Ja Yee
Serija: Developments in Mathematics
(Išleidimo metai: 06-Aug-2015, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781489988355)
George Andrews is one of the most influential figures in number theory and combinatorics. In the theory of partitions and q-hypergeometric series and in the study of Ramanujans work, he is the unquestioned leader. To suitably honor him during his 70...Daugiau...
(Išleidimo metai: 25-Jan-2014, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781493901869)
This unique volume describes recent progress in the fields of q-hypergeometric series, partitions, and modular forms and their relation to number theory, combinatorics, and special functions. It grew out of a conference at the University of Florid...Daugiau...
Krishnaswami Alladi, Manjul Bhargava, David Savitt, Pham Huu Tiep
Serija: Developments in Mathematics
(Išleidimo metai: 08-Aug-2013, Hardback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781461474876)
In the last decade, the areas of quadratic and higher degree forms have witnessed dramatic advances. This volume is an outgrowth of three seminal conferences on these topics held in 2009, two at the University of Florida and one at the Arizona Winter...Daugiau...
Krishnaswami Alladi, Peter Paule, James Sellers, Ae Ja Yee
Serija: Developments in Mathematics
(Išleidimo metai: 15-Jul-2013, Hardback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781461478577)
George Andrews is one of the most influential figures in number theory and combinatorics. In the theory of partitions and q-hypergeometric series and in the study of Ramanujans work, he is the unquestioned leader. To suitably honor him during his 70...Daugiau...
Nestled between number theory, combinatorics, algebra and analysis lies a rapidly developing subject in mathematics variously known as additive combinatorics, additive number theory, additive group theory, and combinatorial number theory. Its main ob...Daugiau...
(Išleidimo metai: 27-Dec-2012, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781461427582)
Previous publications on the generalization of the Thomae formulae to Zn curves have emphasized the theorys implications in mathematical physics and depended heavily on applied mathematical techniques. This book redevelops these previous results dem...Daugiau...
Hershel M. Farkas, Robert C. Gunning, Marvin I. Knopp, B. A. Taylor
Serija: Developments in Mathematics
(Išleidimo metai: 18-Sep-2012, Hardback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781461440741)
???A memorial conference for Leon Ehrenpreis was held at Temple University, November 15-16, 2010. In the spirit of Ehrenpreiss contribution to mathematics, the papers in this volume, written by prominent mathematicians, represent the wide breadth of...Daugiau...
(Išleidimo metai: 05-Sep-2012, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781461426301)
A collection of invited papers that addresses topics related to the research of Raman Parimala (plenary speaker at the upcoming ICM 2010). It focuses on the interplay between algebra, number theory, and algebraic geometry....Daugiau...
(Išleidimo metai: 03-Mar-2012, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781461424567)
Numerical Semigroups is the first monograph devoted exclusively to the development of the theory of numerical semigroups. This concise, self-contained text is accessible to first year graduate students, giving the full background needed for reader...Daugiau...
(Išleidimo metai: 01-Nov-2011, Hardback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781461400271)
Partitions, q-Series, and Modular Forms contains a collection of research and survey papers that grew out of a Conference on Partitions, q-Series and Modular Forms at the University of Florida, Gainesville in March 2008. It will be of interest to res...Daugiau...
(Išleidimo metai: 05-Jan-2011, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781441952134)
The problem of representing an integer as a sum of squares of integers is one of the oldest and most significant in mathematics. It goes back at least 2000 years to Diophantus, and continues more recently with the works of Fermat, Euler, Lagrange, Ja...Daugiau...
(Išleidimo metai: 08-Dec-2010, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781441953957)
Robert A. Rankin, one of the worlds foremost authorities on modular forms and a founding editor of The Ramanujan Journal, died on January 27, 2001, at the age of 85. Rankin had broad interests and contributed fundamental papers in a...Daugiau...
(Išleidimo metai: 08-Dec-2010, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781441937643)
This volume contains papers by invited speakers of the symposium Zeta Functions, Topology and Quantum Physics held at Kinki U- versity in Osaka, Japan, during the period of March 3-6, 2003. The aims of this symposium were to establish mutual unders...Daugiau...
(Išleidimo metai: 08-Dec-2010, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781441948168)
The contents of this volume range from expository papers on several aspects of number theory, intended for general readers (Steinhaus property of planar regions; experiments with computers; Diophantine approximation; number field sieve), to a collect...Daugiau...
(Išleidimo metai: 07-Dec-2010, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781441952394)
This book contains various topics in number theory and provides the reader with an overvierw of current and future researches in the field.Audience: Researchers and graduate students in number theory, enthusiastic amateurs and undergraduate students...Daugiau...
(Išleidimo metai: 06-Dec-2010, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781441926890)
Number theory has a wealth of long-standing problems, the study of which has led to developments in many areas of mathematics. This volume, written by distinguished mathematicians, consists of seven significant chapters on number theory and related t...Daugiau...
Krishnaswami Alladi, P.D.T.A. Elliott, Andrew Granville, G. Tenenbaum
Serija: Developments in Mathematics
(Išleidimo metai: 03-Dec-2010, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781441950581)
This volume contains a collection of papers in Analytic and Elementary Number Theory in memory of Professor Paul Erdös, one of the greatest mathematicians of this century....Daugiau...
(Išleidimo metai: 24-Nov-2010, Hardback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781441978462)
Includes several focused proofs developed in a generalized context that is accessible to researchers in related mathematical fields such as algebraic geometry, complex analysis, and number theory. This book is suitable for mathematicians with an inte...Daugiau...
(Išleidimo metai: 19-Nov-2010, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781441940254)
Number Theory: Tradition and Modernization is a collection of survey and research papers on various topics in number theory. Though the topics and descriptive details appear varied, they are unified by two underlying principles: first, making ever...Daugiau...
