Valentin Blomer

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math.NT2025

Analytic properties of representation zeta functions of groups of type $A_{2}$

Valentin Blomer, Christopher Voll

We study analytic properties of the representation zeta functions of arithmetic groups of type $A_{2}$ , such as $SL_{3} (Z)$ . In particular, we uncover furthe…

math.NT2024

Zeros of $L$ -functions in families near the critical line

Valentin Blomer, Jesse Thorner

We combine the relative trace formula with analytic methods to obtain zero density estimate for $L$ -functions in various families of automorphic representations for $\mathrm{GL}(m)…

Analytic properties of representation zeta functions of groups of type A2​

Zeros of L-functions in families near the critical line

Analytic properties of representation zeta functions of groups of type $A_{2}$

Zeros of $L$ -functions in families near the critical line