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20232025
most citedCubic and quintic analogues of Ramanujan's septic theta function identity

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math.NT2024

Identities for the product of Two Dirichlet Series Satisfying Hecke's Functional Equation

Bruce C. Berndt, Likun Xie

We derive a general formula for the product of two Dirichlet series that satisfy Hecke's functional equation. Several examples are provided to demonstrate the applicability of the…

math.NT2024

Sums of two squares and the tau-function: Ramanujan's trail

Bruce C. Berndt, Pieter Moree

Ramanujan, in his famous first letter to Hardy, claimed a very precise estimate for the number of integers that can be written as a sum of two squares. Far less well-known is that…