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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Improves L2→L4 bounds for spectral projectors P_λ,δ with δ polynomially small in λ on S1-symmetric surfaces via Bessel eigenfunctions and nonstationary phase estimates.
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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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$L^4$ norm of spectral projectors on polynomially small frequency intervals for $S^1$-symmetric surfaces
Improves L2→L4 bounds for spectral projectors P_λ,δ with δ polynomially small in λ on S1-symmetric surfaces via Bessel eigenfunctions and nonstationary phase estimates.