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.
Second moment of degree three L-functions
2 Pith papers cite this work. Polarity classification is still indexing.
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math.NT 2years
2024 2verdicts
UNVERDICTED 2representative citing papers
Assuming the generalized Ramanujan conjecture, ∫_T^{2T} |L(1/2+it, π)|^2 dt ≪_π T^{d/2} / log^{η_d} T holds for small η_d > 0 when d ≥ 3.
citing papers explorer
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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 the second integral moment of $L$-functions
Assuming the generalized Ramanujan conjecture, ∫_T^{2T} |L(1/2+it, π)|^2 dt ≪_π T^{d/2} / log^{η_d} T holds for small η_d > 0 when d ≥ 3.