Simon Marshall

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20232026

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math.NT2023

Subconvexity for $L$ -functions on $U (n) \times U (n + 1)$ in the depth aspect

Simon Marshall

Let $E / F$ be a CM extension of number fields, and let $H < G$ be a unitary Gan--Gross--Prasad pair defined with respect to $E / F$ that is compact at infinity. We consider a family $…

math.NT2023

Concentration properties of theta lifts on orthogonal groups

Farrell Brumley, Simon Marshall

Let $n > m ⩾ 1$ be integers with $n + m ⩾ 4$ even. We prove the existence of Maass forms with large sup norms on anisotropic $O (n, m)$ , by combining a counting argum…

Subconvexity for L-functions on U(n)×U(n+1) in the depth aspect

Concentration properties of theta lifts on orthogonal groups

Subconvexity for $L$ -functions on $U (n) \times U (n + 1)$ in the depth aspect