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Title of Journal: Ramanujan J

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Abbravation: The Ramanujan Journal

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Springer US

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DOI

10.1007/bf02793881

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1572-9303

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A central limit theorem for Ramanujan’s tau functi

Authors: P D T A Elliott
Publish Date: 2012/06/14
Volume: 29, Issue: 1-3, Pages: 145-161
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Abstract

A central limit theorem is established for the absolute value of the modular Fouriercoefficient function defined by Ramanujan and for that of the error term in the formula counting representations of integers as sums of twentyfour squares in which the function appears

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Other Papers In This Journal:
  1. Representations of integers by certain positive definite binary quadratic forms
  2. Extensions of Vietoris’s inequalities I
  3. Polyharmonic Maass forms for $$\text {PSL}(2,{\mathbb Z})$$
  4. On the effective determination of Maass cusp forms by L -values
  5. The generalized lucky ticket problem, perfect matchings, and closure relations satisfied by the Chebyshev and $$$$-Hermite polynomials
  6. Algebraic relations for reciprocal sums of odd terms in Fibonacci numbers
  7. A numerical study on exceptional eigenvalues of certain congruence subgroups of $$\mathrm {SO}(n,1)$$ and $$\mathrm {SU}(n,1)$$SU(n,1)
  8. Differential operators, shifted parts, and hook lengths
  9. An overpartition analogue of the q -binomial coefficients
  10. $$$$ WP-Bailey tree
  11. Generators and relations of the graded algebra of modular forms
  12. Eisenstein series and Ramanujan-type series for 1/ π
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