3 problems

Let $k\geq 4$ and let $\ell>k+1$ be prime. Let $N=p_1\cdots p_t$ be squarefree, with distinct prime factors $p_i$, and let $\varepsilon$ be an Atkin-Lehner eigensystem for…

Let $A$ be the coefficient ring and let $T$ be the prime defining the level. For weights $k,l$, write $S_{k,l}(\mathrm{GL}_2(A))$ for the space of Drinfeld cusp forms for…

Atkin–Lehner equidistribution conjecture. For all $k\geq 2$, the space $S_k(\Gamma_0(2))$ decomposes under $W_2$ into Hecke-irreducible subspaces of dimensions $\lfloor d/2\rfloor$…