3 problems

Non-eigenform conjecture for the forms $\mathcal{F}_{D,k,e}$
Non-eigenform conjecture. If
openhecke-eigenforms modular-forms
0 responses
06
Xue–Zhu conjecture on determining level-one eigenforms by Fourier coefficients
Let $m\geq 2$ be fixed, and let $f$ be a normalized Hecke eigenform of level one. Its $m$ -th Fourier coefficient is the coefficient of $q^m$ in its normalized Fourier expansion. Xu…
openhecke-eigenforms modular-forms
0 responses
07
Weight-aspect sup-norm conjecture for Hecke eigenforms on Siegel modular varieties
Weight-aspect sup-norm conjecture. If $F$ is an eigenfunction of all Hecke operators, then as $k\to\infty$ ,
openhecke-eigenforms siegel-modular-forms sup-norms
0 responses
06

Non-eigenform conjecture for the forms FD,k,e\mathcal{F}_{D,k,e}FD,k,e​