References
Balasubramanian, R., Ram Murty, M.: An Ω-theorem for Ramanujan's τ-function. Invent. Math.68, 241–252 (1982)
Hardy, G.H.: Ramanujan, New York: Chelsea 1940
Ingham, A.: The distribution of prime numbers. Cambridge: Cambridge University Press 1932
Ingham, A.: A note on the distribution of primes, Acta Arith.1, 201–211 (1936)
Joris, H.: An Ω-result for coefficients of cusp forms. Mathematika22, 12–19 (1975)
Linnik, U.V.: Additive problems and eigenvalues of the modular operators. Proc. of the Int. Congress, 1962, Sweden
Moreno, C.J.: The Hoheisel phenomenon for generalised Dirichlet series. Proc. Math. Soc.40, 47–51 (1973)
Ram Murty, M.: Some Ω-results for Ramanujan's τ-function. Proceedings of the Mysore Number Theory Conference, 1981. In: Lecture Notes in Mathematics, Vol. 938. Berlin, Heidelberg, New York: Springer 1982
Murty, V.K.: On the Sato-Tate conjecture (to appear)
Ogg, A.P.: A remark on the Sato-Tate conjecture. Invent. Math.9, 198–200 (1970)
Rankin, R.A.: An Ω-result for the coefficients of cusp forms. Math. Ann.203, 239–250 (1973)
Riordan, J.: Combinatorial identities. New York Wiley 1968
Selberg, A.: On the estimation of Fourier coefficients of modular forms. Proc. Symp. Pure Math.8, 1–15 (1965)
Serre, J.P.: Abelian 1-adic representations and Elliptic curves. New York: Benjamin 1968
Shahidi, F.: On certainL-functions. Am. J. Math.103, 297–355 (1981)
Stark, H., Zagier, D.: A property ofL-functions on the real line. J. Number Theory12, 49–52 (1980)
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Murty, M.R. Oscillations of Fourier coefficients of modular forms. Math. Ann. 262, 431–446 (1983). https://doi.org/10.1007/BF01456059
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DOI: https://doi.org/10.1007/BF01456059