Abstract
Let τ denote the Ramanujan tau function. One is interested
in possible prime values of τ function. Since τ
is multiplicative and
for almost all primes p. This improves a recent work of Bennett, Gherga, Patel and Siksek. Our results are also valid for any non-CM normalized Hecke eigenforms with integer Fourier coefficients.
Acknowledgements
The authors would like to thank Purusottam Rath for his comments on an earlier version of the article and would like to thank the referee for suggesting an alternate proof of Lemma 15 and other valuable suggestions. Also the authors would like to acknowledge the support of DAE number theory plan project.
References
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