Establishes strong hybrid subconvexity bounds for twisted selfdual GL3 L-functions via a new GL3 x GL2 to GL4 x GL1 spectral reciprocity formula together with an averaged Lindelof bound on Dirichlet L-functions.
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Upper bounds on the least prime satisfying the Ramanujan conjecture simultaneously for two or three Hecke-Maass forms, and lower bounds on the natural density of primes satisfying it for at least one form in a given set.
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Strong Hybrid Subconvexity for Twisted Selfdual $\mathrm{GL}_3$ $L$-Functions
Establishes strong hybrid subconvexity bounds for twisted selfdual GL3 L-functions via a new GL3 x GL2 to GL4 x GL1 spectral reciprocity formula together with an averaged Lindelof bound on Dirichlet L-functions.
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On Ramanujan Primes for Hecke-Maass Cusp Forms
Upper bounds on the least prime satisfying the Ramanujan conjecture simultaneously for two or three Hecke-Maass forms, and lower bounds on the natural density of primes satisfying it for at least one form in a given set.