New Forms and Old Forms
Chapter
Abstract
Let N, k positive integers, χ a character modulo N. We know that the Hecke operators T(n),(n, N) = 1 can be diagonalized simultaneously in the space S(N,k,χ). On the other hand, if f is an eigenfunction of all Hecke operators T(n), then L(s, f) has an Euler product. So we want to ask the following question: Can all Hecke operators T(n) be diagonalized simultaneously in the space S(N, k, χ).
Keywords
Positive Integer Modular Form Prime Divisor Cusp Form Multiplicative Function
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© Science Press Beijing and Springer-Verlag Berlin Heidelberg 2012