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Strong Subconvexity for Self-Dual GL(3) L-Functions
International mathematics research notices, 2022In this paper, we prove strong subconvexity bounds for self-dual $\textrm {GL}(3)\ L$-functions in the $t$-aspect and for $\textrm {GL}(3)\times \textrm {GL}(2)$ $L$-functions in the $\textrm {GL}(2)$-spectral aspect.
Yongxiao Lin, Ramon M. Nunes, Zhi Qi
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Eisenstein Cohomology for GL and the Special Values of Rankin-Selberg L-Functions, 2019
This chapter turns to L-functions. It first covers motivic and cohomological L-functions. There is a well-known conjectural dictionary between cohomological cuspidal automorphic representations of GLn and pure rank n motives.
G. Harder, A. Raghuram
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This chapter turns to L-functions. It first covers motivic and cohomological L-functions. There is a well-known conjectural dictionary between cohomological cuspidal automorphic representations of GLn and pure rank n motives.
G. Harder, A. Raghuram
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THE SUBCONVEXITY PROBLEM FOR L-FUNCTIONS
International Congress of Mathematicans, 2019Estimating the size of automorphic L-functions on the critical line is a central problem in analytic number theory. An easy consequence of the standard analytic properties of theL-function is the convexity bound, whereas the generalised Riemann ...
R. Munshi
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Heegner cycles and p-adic L-functions
, 2015In this paper, we deduce the vanishing of Selmer groups for the Rankin–Selberg convolution of a cusp form with a theta series of higher weight from the nonvanishing of the associated L-value, thus establishing the rank 0 case of the Bloch–Kato conjecture
Francesc Castella, Ming-Lun Hsieh
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