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#### Bernoulli Numbers and Zeta Functions

Springer 2014; US$ 109.00Two 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 integers. The real reason that they are indispensable for number theory, however, lies in the fact that special... more...

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

Taylor and Francis 2009; US$ 220.00One 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$ 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...

#### Special Functions for Applied Scientists

Springer 2008; US$ 129.00Chapter 1 introduces elementary classical special functions. Gamma, beta, psi, zeta functions, hypergeometric functions and the associated special functions, generalizations to Meijer's G and Fox's H-functions are examined here. Discussion is confined to basic properties and selected applications. Introduction to statistical distribution theory... more...

#### Topics in Almost Automorphy

Springer 2007; US$ 119.00Presents contributions to the topics of almost periodicity and almost automorphy. Almost periodicity and almost automorphy are also developed on the general structures called fuzzy-number type spaces. This monograph is of interest to researchers and graduate students from many mathematical fields. 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...