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

CRC Press 2009; US$ 231.00Finite Matrices Inequalities for eigenvalues and singular numbers Inequalities for convex functions Traces of powers of matrices A relation between determinants and resolvents Estimates for norms of resolvents in terms of the distance to spectrum Bounds for roots of some scalar equations Perturbations of matrices Preservation... more...

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

World Scientific Publishing Company 2004; US$ 154.00In 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$ 175.00The 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...

#### Theory and Applications of Special Functions

Springer 2006; US$ 229.00This book, dedicated to Mizan Rahman, is made up of a collection of articles on various aspects of q-series and special functions. It also includes an article by Askey, Ismail, and Koelink on Rahman's mathematical contributions and how they influenced the recent upsurge in the subject. more...

#### Vistas Of Special Functions

World Scientific Publishing Company 2007; US$ 128.00This 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...

#### Funktionentheorie in der Ebene und im Raum (Grundstudium Mathematik) (German Edition)

Springer 2006; US$ 29.95Die Funktionentheorie einer komplexen Variablen hat heute höher-dimensionale Analoga: dabei wird die Algebra der komplexen Zahlen durch die nicht-kommutative Algebra der reellen Quaternionen bzw. Clifford-Algebren ersetzt. In den letzten 30 Jahren hat sich die so genannte Quaternionen- und die reelle Clifford-Analysis erfolgreich entwickelt. Eine Vielzahl... more...

#### Families of Automorphic Forms

Springer 2009; US$ 49.99This book gives a systematic treatment of real analytic automorphic forms on the upper half plane for general confinite discrete subgroups. These automorphic forms are allowed to have exponential growth at the cusps and singularities at other points as well. It is shown that the Poincaré series and Eisenstein series occur in families of automorphic... more...

#### Theory of Hypergeometric Functions

Springer 2011; US$ 149.00This book presents a geometric theory of complex analytic integrals representing hypergeometric functions of several variables. Starting from an integrand which is a product of powers of polynomials, integrals are explained, in an open affine space, as a pair of twisted de Rham cohomology and its dual over the coefficients of local system. It is shown... more...

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

World Scientific Publishing Company 2011; US$ 189.00This 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...