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math.NT2025
Kronecker second limit formula for real quadratic fields
YoungJu Choie, Rahul Kumar
In this paper, the second Kronecker ``limit" formula for a real quadratic field is established for the first time. More precisely, we obtain the second Kronecker limit formula of Z…
math.NT2025
Period Function of Maass forms from Ramanujan's Lost Notebook
YoungJu Choie, Rahul Kumar
The Lost Notebook of Ramanujan contains a number of beautiful formulas, one of which can be found on its page 220. It involves an interesting function, which we denote as $\mathcal…