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math.NT2025
Large sieves for and applications
Alexandru Pascadi, Jesse Thorner
Let be the set of unitary cuspidal automorphic representations of over a number field , and let be an arbitrary finit…
math.NT2025
Tatuzawa's theorem for Rankin-Selberg -functions
Gergely Harcos, Jesse Thorner
Let and be unitary cuspidal automorphic representations of and over a number field . We establish a new zero-free region for all $\ma…
math.NT2025
Exceptional zeros of Rankin-Selberg -functions
Jesse Thorner
Let be an idele class character over a number field , and let be any two cuspidal automorphic representations of . We prove that the Rank…