Number Theory

Proceedings of the 4th Matscience Conference held at Otacamund, India, January 5-10, 1984
Herausgegeben:Alladi, Krishnaswami

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Lecture Notes in Mathematics 1122
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-15222-4
• 1985.
• Seitenzahl: 224
• Erscheinungstermin: 1. April 1985
• Englisch
• Abmessung: 235mm x 155mm x 13mm
• Gewicht: 345g
• ISBN-13: 9783540152224
• ISBN-10: 3540152229
• Artikelnr.: 23806006

Inhaltsangabe

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.