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math.NT2023
Character sums over elements of extensions of finite fields with restricted coordinates
Siddharth Iyer, Igor Shparlinski
We obtain nontrivial bounds for character sums with multiplicative and additive characters over finite fields over elements with restricted coordinate expansion. In particular, we…
math.NT2023★ 3 cited
Counting elements of the congruence subgroup
Kamil Bulinski, Igor E. Shparlinski
We obtain asymptotic formulas for the number of matrices in the congruence subgroup \[ Γ_0(Q) = \left\{ A\in\mathrm{SL}_2(\mathbb Z):~c \equiv 0 \pmod Q\right\}, \] which are of na…