Multiplicative functions and Ramanujan's τ-function-Reference-Cited by-同舟云学术

Multiplicative functions and Ramanujan's τ-function

Published:1981-04 Issue:4 Volume:30 Page:461-468
ISSN:1446-7887
Container-title:Journal of the Australian Mathematical Society
language:en
Short-container-title:J. Aust. Math. Soc.

Author:

Elliott P. D. T. A.

Abstract

AbstractIt is proved that (|τ(n)|n−11/2)δ has a mean-value for 0 <δ > < 2, where τ(n) is Ramanujan's function from modular arithmetic. Some further results are conjectured.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference7 articles.

1. Contributions to the theory of Ramanujan's function τ(n) and similar arithmetical functions

2. On Mr. Ramanujan's empirical expansions of modular functions;Mordell;Math. Proc. Cambridge Philos. Soc.,1917

3. Probabilistic Number Theory I

4. Mean Value theorems for multiplicative functions bounded in mean α-power, α >1

5. Probabilistic Methods in the Theory of Numbers

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