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1. Evaluation of the convolution sum Σi+25j=n σ(i)σ(j).

Author

Tiant, X. L., Xia, Ernest X. W., and Yao, Olivia X. M.

Subjects
*EISENSTEIN series, *MATHEMATICAL convolutions, *INTEGERS, *MATHEMATICAL functions, *MATHEMATICS
Abstract

In this paper, the convolution sum Σi+25j=n σ(i)σ(j) is evaluated for all n ∈ ℕ based on some identities due to Berndt, Lemire and Williams. [ABSTRACT FROM AUTHOR]

Published
2014
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2. Analogues of Ramanujan's 24 squares formula.

Author

Uygul, Faruk and Williams, Kenneth S.

Subjects
*MATHEMATICAL formulas, *MATHEMATICAL functions, *INTEGERS, *MATHEMATICAL analysis, *MATHEMATICS
Abstract

Ramanujan's formula for the number r24(n) of representations of a positive integer n as a sum of 24 squares asserts that where and Ramanujan's function τ(n) is given by In this paper, we determine a class of formulae analogous to Ramanujan's formula for r24(n). [ABSTRACT FROM AUTHOR]

Published
2014
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