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Creators/Authors contains: "Thorner, Jesse"

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  1. ; (, Journal für die reine und angewandte Mathematik (Crelles Journal))
    Abstract Let 𝜋 and π ′ \pi^{\prime}be cuspidal automorphic representations of GL ⁢ ( n ) \mathrm{GL}(n)and GL ⁢ ( n ′ ) \mathrm{GL}(n^{\prime})with unitary central characters.We establish a new zero-free region for all GL ⁢ ( 1 ) \mathrm{GL}(1)-twists of the Rankin–Selberg 𝐿-function L ⁢ ( s , π × π ′ ) L(s,\pi\times\pi^{\prime}), generalizing Siegel’s celebrated work on Dirichlet 𝐿-functions.As an application, we prove the first unconditional Siegel–Walfisz theorem for the Dirichlet coefficients of − L ′ ⁢ ( s , π × π ′ ) / L ⁢ ( s , π × π ′ ) -L^{\prime}(s,\pi\times\pi^{\prime})/L(s,\pi\times\pi^{\prime}).Also, for n ≤ 8 n\leq 8, we extend the region of holomorphy and nonvanishing for the twisted symmetric power 𝐿-functions L ⁢ ( s , π , Sym n ⊗ χ ) L(s,\pi,\mathrm{Sym}^{n}\otimes\chi)of any cuspidal automorphic representation of GL ⁢ ( 2 ) \mathrm{GL}(2). 
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    Free, publicly-accessible full text available March 22, 2026
  2. ; (, Communications in Mathematical Physics)
    Abstract We establish two new variants of arithmetic quantum ergodicity. The first is for self-dual$$\textrm{GL}_2$$ GL 2 Hecke–Maaß newforms over$$\mathbb {Q}$$ Q as the level and Laplace eigenvalue vary jointly. The second is a nonsplit analogue wherein almost all restrictions of Hilbert (respectively Bianchi) Hecke–Maaß cusp forms to the modular surface dissipate as their Laplace eigenvalues grow. 
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    Free, publicly-accessible full text available March 1, 2026
  3. ; (, Duke Mathematical Journal)
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  4. ; (, Algebra & Number Theory)
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  5. ; ; (, Research in the Mathematical Sciences)
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  6. ; (, International Mathematics Research Notices)
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