Abstract
In this and the succeeding paper I solve two problems suggested by Prof. Hardy, namely (1) that of proving that Ramanujan's functionhas no zeros on the line and (2) that of finding an asymptotic formulawhere A is a constant. I also prove similar results concerning the coefficients of general modular forms. I am indebted to Prof. Hardy and Mr Ingham for various suggestions, and in particular to Mr Ingham's paper, “A note on Riemann's ζ-function and Dirichlet's L-functions”.
Publisher
Cambridge University Press (CUP)
Reference6 articles.
1. Note on Ramanujan's arithmetical function τ (n)
2. On Ramanujan's empirical expansions of modular functions;Mordell;Proc. Cambridge Phil. Soc.,1920
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130 articles.
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