Products of Eisenstein series, their Lfunctions, and Eichler cohomology for arbitrary real weightsTools Neururer, Michael (2016) Products of Eisenstein series, their Lfunctions, and Eichler cohomology for arbitrary real weights. PhD thesis, University of Nottingham.
AbstractOne topic of this thesis are products of two Eisenstein series. First we investigate the subspaces of modular forms of level N that are generated by such products. We show that of the weight k is greater than 2, for many levels, one can obtain the whole of M[subspace]k(N) from Eisenstein series and products of two Eisenstein series. We also provide a result in the case k=2 and treat some spaces of modular forms of nontrivial nebentypus. We then analyse the Lfunctions of products of Eisenstein series. We reinterpret a method by RogersZudilin and use it in two applications, the first concerning critical Lvalues of a product of two Eisenstein series, and the second special values of derivatives of Lfunctions.
Actions (Archive Staff Only)
