Number Theoretic Methods

Future Trends

Häftad, Engelska, 2010

1 369 kr

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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

Utgivningsdatum2010-12-07
Mått155 x 235 x 25 mm
Vikt686 g
FormatHäftad
SpråkEngelska
SerieDevelopments in Mathematics
Antal sidor441
FörlagSpringer-Verlag New York Inc.
ISBN9781441952394

Tillhör följande kategorier

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

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.