The contents of this book was created by the authors as a simultaneous generalization of Witten zeta-functions, MordellTornheim multiple zeta-functions, and EulerZagier multiple zeta-functions. Zeta-functions of root systems are defined by cer...Daugiau...
The contents of this book was created by the authors as a simultaneous generalization of Witten zeta-functions, MordellTornheim multiple zeta-functions, and EulerZagier multiple zeta-functions. Zeta-functions of root systems are defined by cer...Daugiau...
This book explores various properties of quasimodular forms, especially their connections with Jacobi-like forms and automorphic pseudodifferential operators. The material that is essential to the subject is presented in sufficient deta...Daugiau...
This book explores various properties of quasimodular forms, especially their connections with Jacobi-like forms and automorphic pseudodifferential operators. The material that is essential to the subject is presented in sufficient deta...Daugiau...
Sergiy V. Borodachov, Douglas P. Hardin, Edward B. Saff
Serija: Springer Monographs in Mathematics
(Išleidimo metai: 01-Nov-2019, Hardback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9780387848075)
This book gathers new ideas from both the mathematical and physics communities to explore recent breakthroughs in the minimum energy approach to discretization, connecting theoretical mathematics, computational methods and physical/biological applic...Daugiau...
(Išleidimo metai: 19-Aug-2019, Paperback / softback, Leidėjas: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, ISBN-13: 9783662221884)
This book is a translation of the earlier book written by Koji Doi and the author, who revised it substantially for this English edition. It offers the basic knowledge of elliptic modular forms necessary to understand recent developments in number...Daugiau...
The book is aimed at people working in number theory or at least interested in this part of mathematics. It presents the development of the theory of algebraic numbers up to the year 1950 and contains a rather complete bibliography of that period....Daugiau...
The book describes developments on some well-known problems regarding the relationship between orders of finite groups and that of their automorphism groups. It is broadly divided into three parts: the first part offers an exposition of the fundam...Daugiau...
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 fra...Daugiau...
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...Daugiau...
This book gives a comprehensive treatment of random phenomena and distribution results in diophantine approximation, with a particular emphasis on quadratic irrationals. It covers classical material on the subject as well as many new results devel...Daugiau...
Two major subjects are treated in this book. The main one is the theory of Bernoulli numbers and the other is the theory of zeta functions. Historically, Bernoulli numbers were introduced to give formulas for the sums of powers of consecutive inte...Daugiau...
The appearance of weakly wandering (ww) sets and sequences for ergodic transformations over half a century ago was an unexpected and surprising event. In time it was shown that ww and related sequences reflected significant and deep properties of...Daugiau...
(Išleidimo metai: 20-May-2015, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781489991560)
Total Domination in Graphs gives a clear understanding of this topic to any interested reader who has a modest background in graph theory. This book provides and explores the fundamentals of total domination in graphs. Some of the top...Daugiau...
(Išleidimo metai: 08-Feb-2015, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781489990921)
This introduction to Shimura varieties covers key topics including non-triviality of arithmetic invariants and special values of L-functions; elliptic curves over complex and p-adic fields; Hecke algebras; elliptic and modular curves over rings and m...Daugiau...
This book gives a comprehensive treatment of random phenomena and distribution results in diophantine approximation, with a particular emphasis on quadratic irrationals. It covers classical material on the subject as well as many new results devel...Daugiau...
The appearance of weakly wandering (ww) sets and sequences for ergodic transformations over half a century ago was an unexpected and surprising event. In time it was shown that ww and related sequences reflected significant and deep properties of...Daugiau...
Two major subjects are treated in this book. The main one is the theory of Bernoulli numbers and the other is the theory of zeta functions. Historically, Bernoulli numbers were introduced to give formulas for the sums of powers of consecutive inte...Daugiau...
The last one hundred years have seen many important achievements in the classical part of number theory. After the proof of the Prime Number Theorem in 1896, a quick development of analytical tools led to the invention of various new methods, like Br...Daugiau...
(Išleidimo metai: 09-Jun-2013, Hardback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781461466567)
This book contains a detailed account of the result of the authors recent Annals paper and JAMS paper on arithmetic invariant, including µ-invariant, L-invariant, and similar topics. This book can be regarded as an introductory text to the author...Daugiau...