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#### Localization and Perturbation of Zeros of Entire Functions

CRC Press 2009; US$ 231.00One of the most important problems in the theory of entire functions is the distribution of the zeros of entire functions. Localization and Perturbation of Zeros of Entire Functions is the first book to provide a systematic exposition of the bounds for the zeros of entire functions and variations of zeros under perturbations. It also offers a new... more...

#### Forms Of Fermat Equations And Their Zeta Functions

World Scientific Publishing Company 2004; US$ 95.00 US$ 77.90In this volume, an abstract theory of â??formsâ?? is developed, thus providing a conceptually satisfying framework for the classification of forms of Fermat equations. The classical results on diagonal forms are extended to the broader class of all forms of Fermat varieties. more...

#### Automorphic Forms And Shimura Varieties Of Pgsp(2)

World Scientific Publishing Company 2005; US$ 108.00 US$ 88.56The area of automorphic representations is a natural continuation of studies in the 19th and 20th centuries on number theory and modular forms. A guiding principle is a reciprocity law relating infinite dimensional automorphic representations with finite dimensional Galois representations. Simple relations on the Galois side reflect deep relations... more...

#### Vistas Of Special Functions

World Scientific Publishing Company 2007; US$ 79.00 US$ 64.78This is a unique book for studying special functions through zeta-functions. Many important formulas of special functions scattered throughout the literature are located in their proper positions and readers get enlightened access to them in this book. The areas covered include: Bernoulli polynomials, the gamma function (the beta and the digamma function),... more...

#### Theory of Hypergeometric Functions

Springer Japan 2011; US$ 149.00This book presents a geometric theory of complex analytic integrals representing hypergeometric functions of several variables. It shows that hypergeometric integrals generally satisfy holonomic system of linear differential equations. more...

#### GEOMETRY AND ANALYSIS OF AUTOMORPHIC FORMS OF SEVERAL VARIABLES

World Scientific Publishing Company 2011; US$ 116.00 US$ 95.12This volume contains contributions of principal speakers of the symposium on geometry and analysis of automorphic forms of several variables, held in September 2009 at Tokyo, Japan, in honor of Takayuki Oda's 60th birthday. It presents both research and survey articles in the fields that are the main themes of his work. The volume may serve as... more...

#### Zeta and q-Zeta Functions and Associated Series and Integrals

Elsevier Science 2011; US$ 150.00Zeta and q-Zeta Functions and Associated Series and Integrals is a thoroughly revised, enlarged and updated version of Series Associated with the Zeta and Related Functions. Many of the chapters and sections of the book have been significantly modified or rewritten, and a new chapter on the theory and applications of the basic (or q-) extensions... more...

#### Shintani Zeta Functions

Cambridge University Press 1994; US$ 84.00 US$ 68.88This is amongst the first books on the theory of prehomogeneous vector spaces, and represents the author's deep study of the subject. more...

#### Generatingfunctionology

Elsevier Science 2014; US$ 31.95Generatingfunctionology provides information pertinent to generating functions and some of their uses in discrete mathematics. This book presents the power of the method by giving a number of examples of problems that can be profitably thought about from the point of view of generating functions. Organized into five chapters, this book begins with... more...