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Results tagged with modular-forms
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user 101794
Questions about modular forms and related areas
4
votes
1
answer
205
views
The subfield of $\mathbb{C}$ generated by Fourier coefficients of prime index
Let $f=\sum_{n\ge1} a_nq^n$ be an Hecke eigenform cusp form of integral weight $k$ on $\Gamma_0(N)$ with character $\varepsilon\pmod N,$ and let $M_f$ be the subfield of $\mathbb{C}$ generated by the …
- 155
11
votes
1
answer
262
views
The best bound on the growth of $\sum_{n\le X}a(n)$
Let $f(z) = \sum_{n=1}^{\infty} a(n)n^{(k-1)/2} q^n$ be a cusp form, I am interested to know what is currently the best bound on the growth of $\sum_{n\le X}a(n)$ in the following two case :
When $f …
- 155