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math.NT2021
Two-parameter Identities for Divisor Sums in Algebraic Number Fields
Bruce C. Berndt, Martino Fassina, Sun Kim +1
In a one-page fragment published with his lost notebook, Ramanujan stated two double series identities associated, respectively, with the famous Gauss Circle and Dirichlet Divisor…
math.NT2021
Balanced Derivatives, Identities, and Bounds for Trigonometric and Bessel Series
Bruce C. Berndt, Martino Fassina, Sun Kim +1
Motivated by two identities published with Ramanujan's lost notebook and connected, respectively, with the Gauss circle problem and the Dirichlet divisor problem, in an earlier pap…