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- W4311553674 abstract "We prove the Mixing Conjecture of Michel--Venkatesh for the class group action on Heegner points of large discriminant on compact arithmetic surfaces attached to maximal orders in rational quaternion algebras. The proof is conditional on the Generalized Riemann Hypothesis, and when the division algebra is indefinite we furthermore assume the Ramanujan conjecture. Our methods, which provide an effective rate, are based on the spectral theory of automorphic forms and their $L$-functions, as well as techniques in classical analytic number theory." @default.
- W4311553674 created "2022-12-27" @default.
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- W4311553674 date "2022-12-12" @default.
- W4311553674 modified "2023-09-25" @default.
- W4311553674 title "The mixing conjecture under GRH" @default.
- W4311553674 doi "https://doi.org/10.48550/arxiv.2212.06280" @default.
- W4311553674 hasPublicationYear "2022" @default.
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