Number Theoretic Methods

Future Trends

AvShigeru Kanemitsu,Chaohua Jia

Häftad, Engelska, 2010

Del 8 i serien Developments in Mathematics

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Beskrivning

This book contains various topics in number theory and provides the reader with an overvierw of current and future researches in the field. Audience: Researchers and graduate students in number theory, enthusiastic amateurs and undergraduate students who have some basic knowledge in mathematics.

Produktinformation

Utgivningsdatum:2010-12-07
Mått:155 x 235 x 25 mm
Vikt:686 g
Format:Häftad
Språk:Engelska
Serie:Developments in Mathematics
Antal sidor:441
Förlag:Springer-Verlag New York Inc.
ISBN:9781441952394

Utforska kategorier

Talteori inom Naturvetenskap och teknik
Matematik inom Naturvetenskap och teknik
Algebra inom Naturvetenskap och teknik

Innehållsförteckning

A limiting form of the q-Dixon 4?3 summation and related partition identities.- Arithmetical properties of solutions of linear second order q-difference equations.- Ramanujan’s Contributions to Eisenstein Series, Especially in His Lost Notebook.- New Applications of a Result of Galochkin on Linear Independence.- Partitions modulo prime powers and binomial coefficients.- Infinite sums, diophantine equations and Fermat’s last theorem.- On the nature of the “explicit formulas” in analytic number theory — a simple example.- Product representations by rationals.- On the distribution of ?P modulo 1.- Ramanujan’s formula and modular forms.- Waldspurger’s formula and central critical values of L-functions of newforms in weight aspect.- Primitive roots: a survey.- Zeta-Functions Defined by Two Polynomials.- Some Aspects on Interactions between Algebraic Number Theory and Analytic Number Theory.- On G-functions and Padé approximations.- A penultimate step toward cubic theta-Weyl sums.- Some Results in view of Nevanlinna Theory.- A Historical Comment about the GVT in Short Interval.- Convexity and Intersection of Random Spaces.- Generalized hypergeometric series and the symmetries of 3-j and 6-j coefficients.- Stability and New Non-Abelian Zeta Functions.- A hybrid mean value of L-functions and general quadratic Gauss sums.