Number theory : proceedings of the 4th Matscience Conference held at Ootacamund, India, January 5-10, 1984

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Number theory : proceedings of the 4th Matscience Conference held at Ootacamund, India, January 5-10, 1984

edited by K. Alladi

(Lecture notes in mathematics, 1122)

Springer-Verlag, c1985

  • : gw
  • : us

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Includes bibliographies

Description and Table of Contents

Table of Contents

A study of the moments of additive functions using laplace transforms and sieve methods.- A hybrid version of a theorem of Ingham.- Remarks on some of Ramanujan's number theoretical discoveries found in his second notebook.- Two generalizations of Ramanujan's continued fraction identities.- The combinatorial sieve.- On some of my problems in number theory i would most like to see solved.- Problems and result on additive properties of general sequences, IV.- The functions of the linear sieve (summary).- An extended Nagell Totient and related Ramanujan sums.- On projective representations of finite Abelian groups.- Sums of reciprocals of some non-vanishing multiplicative functions.- A remark on a paper of K. Ramachandra.- Jac obsthal sums in terms of quadratic partitions of a prime.- Fourier coefficients of modular forms.- On the distribution of round numbers.- Some Remarks in number theory.- Basic analogues of transformations of nearly-poised basic hypergeometric series.

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