Kamil Bulinski, Igor E. Shparlinski
Published 2023-08-21Version 1
We obtain asymptotic formulas for the number of matrices in the congruence subgroup \[ \Gamma_0(Q) = \left\{ A\in\mathrm{SL}_2(\mathbb Z):~c \equiv 0 \pmod Q\right\}, \] which are of naive height at most $X$. Our result is uniform in a very broad range of values $Q$ and $X$.
The Bloch-Okounkov theorem for congruence subgroups and Taylor coefficients of quasi-Jacobi forms
On the cohomology of congruence subgroups of GL3 over the Eisenstein integers
Asymptotics of various partitions
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