Number Theory: Proceedings of the 4th Matscience Conference Held at Otacamund, India, January 5-10, 1984

ISBN-13: 9783540152224 / Angielski / Miękka / 1985 / 220 str.

Krishnaswami Alladi

Spis treści

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.