Tópicos de Formas Modulares

Pré-requisito: Análise Complexa

Modular and congruence groups, modular forms of a given weight, cusp forms, Eisenstein series, theta series, Hecke operators, Fourier expansions, Growth of the coefficients, L-functions of modular forms and their functional equations,   Oldforms and Newforms, modular elliptic curves, Galois representations and modular forms, application to congruent numbers.

Referências:
KOBLITZ, NEAL. – Introduction to elliptic curves and modular forms, Graduate Texts in Mathematics, 97. Springer-Verlag, New York, 1993.
DIAMOND, FRED; SHURMAN, JERRY. – A first course in modular forms. Graduate Texts in Mathematics, 228. Springer-Verlag, New York, 2005.
ZAGIER, D. – Elliptic modular forms and their applications, Universitext, Springer, 2008.

* Ementa básica. O professor tem autonomia para efetuar qualquer alteração.