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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…
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…
Elementary Continued Fractions for Linear Combinations of Zeta and L Values
Henri Cohen
We show how to obtain infinitely many continued fractions for certain Z-linear combinations of zeta and L values. The methods are completely elementary.
Factorizations of Eisenstein Series of Level up to 4
Henri Cohen
We show that the most standard Eisenstein series such as or , and also the function , are in a natural way the product of two conjugate Eisenstein…
Rational Hypergeometric Ramanujan Identities for : Survey and Generalizations
Henri Cohen, Jesús Guillera
We give a simple unified proof for all existing rational hypergeometric Ramanujan identities for , and give a complete survey (without proof) of several generalizations: ratio…
Computing L-Functions of Quadratic Characters at Negative Integers
Henri Cohen
We survey a number of different methods for computing for a Dirichlet character , with particular emphasis on quadratic characters. The main conclusion is that when $…