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math.NT2024
Bounds on the exceptional set in the conjecture
Christian Bernert, Tim Browning, Jared Duker Lichtman +1
We study solutions to the equation , where form a triple of coprime natural numbers. The conjecture asserts that, for any , such triples satisfy $\mathrm{…
math.NT2024
Density theorems for via Rankin-Selberg -functions
Jared Duker Lichtman, Alexandru Pascadi
We obtain density theorems for cuspidal automorphic representations of over which fail the generalized Ramanujan conjecture at some place. We depart from…