arXiv subjects
Publications and source records attributed to Julien Puydt.
This article aims to make explicit the characteristic projection introduced by Panchishkin in "A new method of constructing p-adic L-functions associated with modular forms" (Moscow Mathematical Journal, 2002) and gives various results on how to calculate it effectively on a computer. It ends with concrete examples putting those ideas in application.
This article aims to find explicit congruences between Dirichlet characters and gives various results on how to find some effectively on a computer. It ends with concrete examples putting those ideas in application.
At first a type of Eisenstein series is defined as distributions giving nearly-holomorphic automorphic forms on a totally real field, with different expressions (integral, summation) ; then these are shown to satisfied the expected properties, and the Fourier coefficients are explicitly computed. Finally, an explicit computation shows that in the simplest case, the abstract object considered simplify down to the most classical version of Eisenstein series.