This work is a collection of original papers presented at an international colloquium on number theory and related topics held at the Tata Institute of Fundamental Research in Bombay. The papers highlight recent developments in number theory and are dedicated to the memory of Srinivasa Ramanujan, the celebrated Indian mathematician. Topics include Ramanujan's formulas for Eisenstein series, the circle method and the Fourier coefficients of modular forms, linear operators and automorphic forms, exponential Diophantine equations, and others.
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Illustrationen
ISBN-13
978-0-19-562367-3 (9780195623673)
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Schweitzer Klassifikation
R. Askey: Variants of Clausen's formula for the square of a special 2 F 1 ; R. Balasubramanian & K. Ramachandra: Titchmarsh's phenomenon for Zeta (s); B.C. Berndt: Ramanujan's formulas for Eisenstein series; D. M. Bressoud: On the proof of Andrews q-Dyson conjecture; D.R. Heath-Brown: Weyl's inequality, Waring's problem and Diophantine approximation; H. Iwaniec: The circle method and the Fourier coefficients of modular forms; N.V. Kuznetsov: Sums of Kloosterman sums and the eighth power moment of the Riemann zeta function; S. Raghavan & S.S. Rangachari: On Ramanujan's elliptic integrals and modular identities; K.G. Ramanathan: On some theorems stated by Ramanujan; R.A. Rankin: The adjoint Hecke operator II; I. Satake: On zeta funtions associated with self-dual homogeneous cones; W.M. Schmidt: The number of rational approximations to algebraic numbers and the number of solutions of norm form equations; A. Selberg: Linear operators and automorphic forms; T.N. Shorey: Some exponential Diophantine equations II; D. Zagier: The dilogarithm function in geometry and number theory.
