A Course in Analytic Number Theory, Marius Overholt
Автор: Murty Название: Problems in Analytic Number Theory ISBN: 0387723498 ISBN-13(EAN): 9780387723495 Издательство: Springer Рейтинг: Цена: 7680.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This informative and exhaustive study gives a problem-solving approach to the difficult subject of analytic number theory. The goal is to provide a rapid introduction to analytic methods and the ways in which they are used to study the distribution of prime numbers. The book also includes an introduction to p-adic analytic methods.
Описание: This two-volume work presents the main known equivalents to the Riemann hypothesis, perhaps the most important problem in mathematics. Volume 2 covers equivalents with a strong analytic orientation and is supported by an extensive set of appendices.
Автор: Neal Koblitz Название: A Course in Number Theory and Cryptography ISBN: 1461264421 ISBN-13(EAN): 9781461264422 Издательство: Springer Рейтинг: Цена: 6981.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is a substantially revised and updated introduction to arithmetic topics, both ancient and modern, that have been at the centre of interest in applications of number theory, particularly in cryptography.
Автор: Jean-Marie De Koninck |Florian Luca Название: Analytic Number Theory ISBN: 1470473852 ISBN-13(EAN): 9781470473853 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 10032.00 р. Наличие на складе: Нет в наличии.
Описание: 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.
Автор: Graham Sidney W., Vaaler Jeffrey D. Название: Topics in Analytic Number Theory ISBN: 0292741030 ISBN-13(EAN): 9780292741034 Издательство: Marston Book Services Цена: 5146.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Articles on number theory.
Автор: Gradimir V. Milovanovi?; Michael Th. Rassias Название: Analytic Number Theory, Approximation Theory, and Special Functions ISBN: 1493945386 ISBN-13(EAN): 9781493945382 Издательство: Springer Рейтинг: Цена: 23058.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Part I. Analytic Number Theory, Combinatorics, and Special Sequences of Numbers and Polynomials.- The mean values of the Riemann Zeta function on the critical line (A. Ivic).- Explicit bounds concerning non-trivial zeros of the Riemann Zeta function (M. Hassani).- On the value-distribution of logarithmic derivatives of Dirichlet L-functions (Y. Ihara, K. Matsumoto).- Multiple Gamma functions and their applications (J. Choi).- On partition functions of hyperbolic three-geometry and associated Hilbert schemes (A.A. Bytsenko and E. Elizalde).- Families of twisted Bernoulli numbers, twisted Bernoulli polynomials and their applications (Y. Simsek).- Combinatorial interpretation of a generalized basic series (A.K. Agarwal, M. Rana).- Identities for reciprocal binomials (A. Sofo).- A note on q-Stirling numbers (M. Merca).- Part II. Analytic Inequalities and Applications.- A survey on Cauchy-Bunyakovsky-Schwarz inequality for power series (A. Ibrahim, S.S. Dragomir).- Topics in special functions III (G.D. Anderson, M. Vuorinen, X. Zhang).- Completely monotone functions-a digest (M. Merkle).- New applications of superquadracity (S. Abramovich).- Green's operator and differential forms (S. Ding, Y. Xing).- Multidimensional discrete Hilbert-type inequalities, operators and compositions (B. Yang).- The function (bx-ax)/x: Ratio's properties (F. Qi, Q.-M. Luo, B.-N. Guo).- On the approximation and bounds of the Gini mean difference (P. Cerone).- On parametric nonconvex variational inequalities (M.A. Noor).- Part III. Approximation of Functions and Quadratures.- Simultaneous approximation for Stancu type generalization of certain summation-integral typfe operators (N.K. Govil, V. Gupta).- Korovkin type approximation theorem for functions of two variables via statistical summability (M. Mursaleen, S.A. Mohiuddine).- Reflections on the Baker-Gammel-Wills (Padй) conjecture (D.S. Lubinsky).- Optimal quadrature formulas and interpolation splines minimizing the semi-norm in the Hilbert space K2(P2) (A.R. Hayotov, G.V. Milovanovic, K.M. Shadimetov).- Numerical integration of highly oscillating functions (G.V. Milovanovic, M.P. Stanic).- Part IV. Orthogonality, Transformations and Applications.- Asymptotic reductions between the Wilson polynomials and the lower level polynomials of the Askey scheme (C. Ferreira, J.L. Lуpez, E.P. Sinusнa).- On a direct Uvarov-Chihara problem and some extensions (K. Castillo, L. Garza, F. Marcellбn).- On special cases of Boas-Buck type polynomial sequences (A.F. Loureiro, S. Yakubovich).- Goursat's hypergeometric transformations, revisited (P.W. Karlsson).- Convolutions product and differential and integro-differential equations (A. Kiliзman).- Orthogonally additive-additive functional equation (C. Park).- Part V. Special and Complex Functions and Applications.- Alternating Mathieu series, Hilbert-Eisteinstein series and their generalized Omega functions (A. Baricz, P.L. Butzer, T.K. Pogбny).- Properties of the product of modified Bessel functions (A. Baricz, T.K. Pogбny).- Mapping properties of an integral operator involving Bessel functions (S. Porwal, D. Breaz).- Poincarй α-series for classical Schottky groups (V.V. Mityushev).- Inclusion properties for certain classes of meromorphic multivalent functions (N.E. Cho).- A journey from Gross-problem to Fujimoto-condition (I. Lahiri, A Banerjee).- Index.
Автор: Badziahin Название: Dynamics and Analytic Number Theory ISBN: 1107552370 ISBN-13(EAN): 9781107552371 Издательство: Cambridge Academ Рейтинг: Цена: 10138.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Aimed at both young and established researchers, this book covers several directions of current research lying at the interface between dynamics and analytic number theory. Leading experts present a wide range of topics, including homogeneous dynamics, Diophantine approximation, Ramsey theory, ergodic theory and combinatorics.
Автор: Gradimir V. Milovanovi?; Michael Th. Rassias Название: Analytic Number Theory, Approximation Theory, and Special Functions ISBN: 1493902571 ISBN-13(EAN): 9781493902576 Издательство: Springer Рейтинг: Цена: 22359.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Analytic Number Theory, Approximation Theory, and Special Functions
Описание: The book introduces new ways of using analytic number theory in cryptography and related areas, such as complexity theory and pseudorandom number generation.Cryptographers and number theorists will find this book useful. The former can learn about new number theoretic techniques which have proved to be invaluable cryptographic tools, the latter about new challenging areas of applications of their skills.
Автор: Carl Pomerance; Michael Th. Rassias Название: Analytic Number Theory ISBN: 3319355511 ISBN-13(EAN): 9783319355511 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume contains a collection of research and survey papers written by some of the most eminent mathematicians in the international community and is dedicated to Helmut Maier, whose own research has been groundbreaking and deeply influential to the field.
Автор: Edmund Hlawka; Charles Thomas; Johannes Schoi?enge Название: Geometric and Analytic Number Theory ISBN: 3540520163 ISBN-13(EAN): 9783540520160 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Based on lectures given by Professor Hlawka, this book covers diophantine approximation, uniform distribution of numbers, geometry of numbers and analytic numbers theory.
Автор: Baruch Z. Moroz Название: Analytic Arithmetic in Algebraic Number Fields ISBN: 3540167846 ISBN-13(EAN): 9783540167846 Издательство: Springer Рейтинг: Цена: 3487.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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