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math.NT2026
The Shimura Lift and Hilbert Modular Forms
Henri Cohen
After recalling basic formulas concerning modular forms of half-integral weight, Gegenbauer polynomials, and Rankin--Cohen brackets, we give four versions of the Shimura lift and s…
math.NT2026
On the Argument of the Lerch, Chowla--Selberg Formula and CM Values of
Henri Cohen
We give a completely explicit Lerch, Chowla--Selberg formula without absolute values of the Dedekind eta function, and give some applications, in particular to the argument of indi…