Abstract
In his remarkable memoir ‘On certain arithmetical functions’* Ramanujan considers, among other functions of much interest, the. function τ(n) defined byThis function is important in the theory of the representation of a number as a sum of 24 squares. In factwhere r24 (n) is the number of representations;where σs(n) is the sum of the 8th powers of the divisors of n, and the sum of those of its odd divisors; and
Publisher
Cambridge University Press (CUP)
Reference3 articles.
1. On certain arithmetical functions;Ramanujan;Trans. Camb. Phil. Soc.,1916
2. Some problems of diophantine approximation: Part II. The trigonometrical series associated with the elliptic ϑ-functions
3. On Mr Ramanujan“s empirical expansions of modular functions;Mordell;Proc. Camb. Phil. Soc.,1920
Cited by
16 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Finding Modular Functions for Ramanujan-Type Identities;Annals of Combinatorics;2019-11
2. Computational Aspects of Hamburger’s Theorem;Algorithms and Complexity in Mathematics, Epistemology, and Science;2019
3. The First Years;Springer Monographs in Mathematics;2012
4. Distribution of values of Fourier coefficients for modular forms of weight 1;Journal of Mathematical Sciences;1998-03
5. Srinivasa Ramanujan (1887‐1920) A centennial tribute;International Journal of Mathematical Education in Science and Technology;1987-11