Search results for ""Author Shigeru Kanemitsu""
World Scientific Publishing Co Pte Ltd Analysis And Beyond An Introduction With Examples
Book Synopsis
£42.75
World Scientific Publishing Co Pte Ltd Number Theory
Book SynopsisThe aim of this book is to familiarize the reader with fundamental topics in number theory: theory of divisibility, arithmetrical functions, prime numbers, geometry of numbers, additive number theory, probabilistic number theory, theory of Diophantine approximations and algebraic number theory. The author tries to show the connection between number theory and other branches of mathematics with the resultant tools adopted in the book ranging from algebra to probability theory, but without exceeding the undergraduate students who wish to be acquainted with number theory, graduate students intending to specialize in this field and researchers requiring the present state of knowledge.Trade Review"The book is a treasure trove of interesting material on analytic, algebraic, geometric and probabilistic number theory, both classical and modern. These topics are connected with other parts of mathematics in a scholarly way. It is a welcome addition to the literature on number theory." Mathematical Reviews "Relevant recent results with proofs beyond the scope of the book are quoted and there is a good bibliography. The exposition is clear and should present no undue difficulty to the reader. The translation from the original Polish has been well done." Bull. London Math. Soc.
£23.75
World Scientific Publishing Co Pte Ltd Number Theory
Book SynopsisThe aim of this book is to familiarize the reader with fundamental topics in number theory: theory of divisibility, arithmetrical functions, prime numbers, geometry of numbers, additive number theory, probabilistic number theory, theory of Diophantine approximations and algebraic number theory. The author tries to show the connection between number theory and other branches of mathematics with the resultant tools adopted in the book ranging from algebra to probability theory, but without exceeding the undergraduate students who wish to be acquainted with number theory, graduate students intending to specialize in this field and researchers requiring the present state of knowledge.Trade Review"The book is a treasure trove of interesting material on analytic, algebraic, geometric and probabilistic number theory, both classical and modern. These topics are connected with other parts of mathematics in a scholarly way. It is a welcome addition to the literature on number theory." Mathematical Reviews "Relevant recent results with proofs beyond the scope of the book are quoted and there is a good bibliography. The exposition is clear and should present no undue difficulty to the reader. The translation from the original Polish has been well done." Bull. London Math. Soc.
£64.60
World Scientific Publishing Co Pte Ltd Contributions To The Theory Of Zeta-functions:
Book SynopsisThis volume provides a systematic survey of almost all the equivalent assertions to the functional equations — zeta symmetry — which zeta-functions satisfy, thus streamlining previously published results on zeta-functions. The equivalent relations are given in the form of modular relations in Fox H-function series, which at present include all that have been considered as candidates for ingredients of a series. The results are presented in a clear and simple manner for readers to readily apply without much knowledge of zeta-functions.This volume aims to keep a record of the 150-year-old heritage starting from Riemann on zeta-functions, which are ubiquitous in all mathematical sciences, wherever there is a notion of the norm. It provides almost all possible equivalent relations to the zeta-functions without requiring a reader's deep knowledge on their definitions. This can be an ideal reference book for those studying zeta-functions.Table of ContentsIntroduction and Zeta-Functions; G-, H- and Allied Special Functions; The General Modular Relation; The Fourier - Bessel Expansion; The Ewald Expansion; The General Modular Relation for Epstein Zeta-Funcion; The General Modular Relation of Hecke's Type; The General Modular Relation for the Riemann Zeta-Function; The General Modular Relation of ΓΓ-Type; The General Modular Relation of ΓN-Type; The General Modular Relation for Maass Forms.
£90.25
World Scientific Publishing Co Pte Ltd From Vehicles To Grid To Electric Vehicles To
Book SynopsisThis book paves the way for a proper understanding of current and future issues on global warming, air pollution, depletion of natural resources, cyberattacks on smart grids, amongst others, by unifying various diverse disciplines of science to focus on a sustainable green society of the future.Readers will find applications of science described through the practical use of mobilities, in this case, the electric vehicles.The book could be used to teach and study on issues of global warming through the window of electric vehicles. The first three chapters can be used for teaching applications of mechanics, quantum mechanics, thermodynamics, and fluid mechanics. Chapter 5 provides rudiments of control theory in anticipation of control theory through number theory and algebraic geometry. Chapters 6 and 7 contain aspects of climatology, global warming, and electric vehicles to green grid. This is the only such comprehensive introductory book in the market that provides the readers hints, suggestions and directions to ponder for a sustainable future through renewable sources.
£76.00
World Scientific Publishing Co Pte Ltd Vistas Of Special Functions Ii
Book SynopsisThis book (Vista II), is a sequel to Vistas of Special Functions (World Scientific, 2007), in which the authors made a unification of several formulas scattered around the relevant literature under the guiding principle of viewing them as manifestations of the functional equations of associated zeta-functions. In Vista II, which maintains the spirit of the theory of special functions through zeta-functions, the authors base their theory on a theorem which gives some arithmetical Fourier series as intermediate modular relations — avatars of the functional equations. Vista II gives an organic and elucidating presentation of the situations where special functions can be effectively used. Vista II will provide the reader ample opportunity to find suitable formulas and the means to apply them to practical problems for actual research. It can even be used during tutorials for paper writing.Table of ContentsBernoulli and Allied Polynomials; Chebyshev Polynomials and Energy Levels of Carbon Hydrates; The Gamma Function Continued - Kummer's Fourier Series, The Stirling Formulas, Etc.; The Hurwitz-Lerch Zeta-Function; The Dirichlet L-Function; Arithmetical Fourier Series; The Madelung Constants and Special Functions; Applications of Fourier Series - Parseval Identity; The Derivative of Dirichlet L-Function and the Kronecker Limit Formula.
£90.25
World Scientific Publishing Co Pte Ltd Quick Introduction To Complex Analysis, A
Book SynopsisThe aim of the book is to give a smooth analytic continuation from calculus to complex analysis by way of plenty of practical examples and worked-out exercises. The scope ranges from applications in calculus to complex analysis in two different levels.If the reader is in a hurry, he can browse the quickest introduction to complex analysis at the beginning of Chapter 1, which explains the very basics of the theory in an extremely user-friendly way. Those who want to do self-study on complex analysis can concentrate on Chapter 1 in which the two mainstreams of the theory — the power series method due to Weierstrass and the integration method due to Cauchy — are presented in a very concrete way with rich examples. Readers who want to learn more about applied calculus can refer to Chapter 2, where numerous practical applications are provided. They will master the art of problem solving by following the step by step guidance given in the worked-out examples.This book helps the reader to acquire fundamental skills of understanding complex analysis and its applications. It also gives a smooth introduction to Fourier analysis as well as a quick prelude to thermodynamics and fluid mechanics, information theory, and control theory. One of the main features of the book is that it presents different approaches to the same topic that aids the reader to gain a deeper understanding of the subject.
£58.90
World Scientific Publishing Co Pte Ltd Number Theory: Arithmetic In Shangri-la -
Book SynopsisThis volume is based on the successful 6th China-Japan Seminar on number theory that was held in Shanghai Jiao Tong University in August 2011. It is a compilation of survey papers as well as original works by distinguished researchers in their respective fields. The topics range from traditional analytic number theory — additive problems, divisor problems, Diophantine equations — to elliptic curves and automorphic L-functions. It contains new developments in number theory and the topics complement the existing two volumes from the previous seminars which can be found in the same book series.Table of ContentsOn Jacobi Forms with Levels (Hiroki Aoki); Additive Representation in Thin Sequences, VIII: Diophantine Inequalities in Review (Jorg Brudern, Koichi Kawada and Trevor D Wooley); Annexe to the Gallery: An Addendum to "Additive Representation in Thin Sequences, VIII: Diophantine Inequalities in Review" (Jorg Brudern, Koichi Kawada and Trevor D Wooley); A Note on the Distribution of Primes in Arithmetic Progressions (Zhen Cui and Boqing Xue); Matrices of Finite Abelian Groups, Finite Fourier Transform and Codes (Shigeru Kanemitsu and Michel Waldschmidt); A Remark on a Result of Eichler (Yoshiyuki Kitaoka); On Weyl Sums over Primes in Short Intervals (Angel V Kumchev); On Congruences for Certain Binomial Coefficients of E Lehmer's Type (Takako Kuzumaki and Jerzy Urbanowicz); Sign Changes of the Coefficients of Automorphic L-Functions (Yuk-Kam Lau, Jianya Liu and Jie Wu); On Fourier Coefficients of Automorphic Forms (Guangshi Lu); The Twists of Hessian Elliptic Curves over Splitting Fields of Cubic Polynomials and the Related Elliptic 3-Folds (Katsuya Miyake); Asymptotic Voronoi's Summation Formulas and Their Duality for SL3(ℤ) (Xiumin Ren and Yangbo Ye); Jerzy Urbanowicz's Work in Pure Mathematics (Andrzej Schinzel); Conjectures Involving Arithmetical Sequences (Zhi-Wei Sun).
£108.00
World Scientific Publishing Co Pte Ltd Number Theory And Its Applications
Book SynopsisThis book emphasizes the role of symmetry and presents as many viewpoints as possible of an important phenomenon — the functional equation of the associated zeta-function. It starts from the basics before warping into the space of new interest; from the ground state to the excited state. For example, the celebrated Gauss quadratic reciprocity law is proved in four independent ways, which are in some way or other dependent on the functional equation. The proofs rest on finite fields, representation theory of nilpotent groups, reciprocity law for the Dedekind sums, and the translation formula for the theta-series, respectively. Likewise, for example, the Euler function is treated in several different places.One of the important principles of learning is to work with the material many times. This book presents many worked-out examples and exercises to enhance the reader's comprehension on the topics covered in an in-depth manner. This is done in a different setting each time such that the reader will always be challenged. For the keen reader, even browsing the text alone, without solving the exercises, will yield some knowledge and enjoyment.Table of ContentsElements of Algebra; Rudiments of Algebraic Number Theory; Arithmetical Functions and Stieltjes Integrals; Quadratic Reciprocity Through Duality; Around Dirichlet L-Functions; Control Systems and Number Theory.
£40.85
World Scientific Publishing Co Pte Ltd Quick Introduction To Complex Analysis, A
Book SynopsisThe aim of the book is to give a smooth analytic continuation from calculus to complex analysis by way of plenty of practical examples and worked-out exercises. The scope ranges from applications in calculus to complex analysis in two different levels.If the reader is in a hurry, he can browse the quickest introduction to complex analysis at the beginning of Chapter 1, which explains the very basics of the theory in an extremely user-friendly way. Those who want to do self-study on complex analysis can concentrate on Chapter 1 in which the two mainstreams of the theory — the power series method due to Weierstrass and the integration method due to Cauchy — are presented in a very concrete way with rich examples. Readers who want to learn more about applied calculus can refer to Chapter 2, where numerous practical applications are provided. They will master the art of problem solving by following the step by step guidance given in the worked-out examples.This book helps the reader to acquire fundamental skills of understanding complex analysis and its applications. It also gives a smooth introduction to Fourier analysis as well as a quick prelude to thermodynamics and fluid mechanics, information theory, and control theory. One of the main features of the book is that it presents different approaches to the same topic that aids the reader to gain a deeper understanding of the subject.
£30.40
World Scientific Publishing Co Pte Ltd Number Theory: Plowing And Starring Through High
Book SynopsisBased on the successful 7th China-Japan seminar on number theory conducted in Kyushu University, this volume is a compilation of survey and semi-survey type of papers by the participants of the seminar. The topics covered range from traditional analytic number theory to elliptic curves and universality. This volume contains new developments in the field of number theory from recent years and it provides suitable problems for possible new research at a level which is not unattainable. Timely surveys will be beneficial to a new generation of researchers as a source of information and these provide a glimpse at the state-of-the-art affairs in the fields of their research interests.Table of ContentsOn Modular Relations (T Arai, K Chakraborty and S Kanemitsu); Figurate Primes and Hilbert's 8th Problem (T-X Cai, Y Zhang and Z-G Shen); Statistical Distribution of Roots of a Polynomial Modulo Prime Powers (Y Kitaoka); A Survey on the Theory of Universality for Zeta and L-Functions (K Matsumoto); Complex Multiplication in the Sense of Abel (K Miyake); Problems on Combinatorial Properties of Primes (Z-W Sun);
£93.10
World Scientific Publishing Co Pte Ltd Number Theory: Dreaming In Dreams - Proceedings
Book SynopsisThis volume aims at collecting survey papers which give broad and enlightening perspectives of various aspects of number theory.Kitaoka's paper is a continuation of his earlier paper published in the last proceedings and pushes the research forward. Browning's paper introduces a new direction of research on analytic number theory — quantitative theory of some surfaces and Bruedern et al's paper details state-of-the-art affairs of additive number theory. There are two papers on modular forms — Kohnen's paper describes generalized modular forms (GMF) which has some applications in conformal field theory, while Liu's paper is very useful for readers who want to have a quick introduction to Maass forms and some analytic-number-theoretic problems related to them. Matsumoto et al's paper gives a very thorough survey on functional relations of root system zeta-functions, Hoshi-Miyake's paper is a continuation of Miyake's long and fruitful research on generic polynomials and gives rise to related Diophantine problems, and Jia's paper surveys some dynamical aspects of a special arithmetic function connected with the distribution of prime numbers. There are two papers of collections of problems by Shparlinski on exponential and character sums and Schinzel on polynomials which will serve as an aid for finding suitable research problems. Yamamura's paper is a complete bibliography on determinant expressions for a certain class number and will be useful to researchers.Thus the book gives a good-balance of classical and modern aspects in number theory and will be useful to researchers including enthusiastic graduate students.Table of ContentsRecent Progress on the Quantitative Arithmetic of Del Pezzo Surfaces (T Browning); Additive Representation in Thin Sequences, VIII: Diophantine Inequalities in Review (J Bruedern et al.); Some Diophantine Problems Arising from the Isomorphism of Generic Polynomials (A Hoshi & K Miyake); Recent Progress on Dynamics of a Special Arithmetic Function (C-H Jia); A Statistical Relation Between Roots of a Polynomial in Different Local Fields II (Y Kitaoka); Generalized Modular Functions and Their Fourier Coefficients (W Kohnen); Functional Relations for Zeta-Functions of Root Systems (Y Komori et al.); A Quick Introduction to Maass Forms (J Y Liu); The Number of Non-Zero Coefficients of a Polynomial - Solved and Unsolved (A Schinzel); Open Problems on Exponential and Character Sums (I Shparlinski); Bibliography on Determinantal Expressions of Relative Class Numbers of Imaginary Abelian Number Fields (K Yamamura).
£80.75
