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A central limit theorem for Ramanujan’s tau function

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Abstract

A central limit theorem is established for the absolute value of the modular Fourier-coefficient function defined by Ramanujan, and for that of the error term in the formula counting representations of integers as sums of twenty-four squares, in which the function appears.

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Correspondence to P. D. T. A. Elliott.

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In celebration of the one hundred and twenty fifth anniversary of the birth of Srinivasa Ramanujan

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Elliott, P.D.T.A. A central limit theorem for Ramanujan’s tau function. Ramanujan J 29, 145–161 (2012). https://doi.org/10.1007/s11139-011-9367-1

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