AN EXTENSION OF THE BOURGAIN–SARNAK–ZIEGLER THEOREM WITH MODULAR APPLICATIONS

DOI10.1093/qmathj/haz048zbMath1445.11099arXiv1902.10179OpenAlexW2929052382MaRDI QIDQ5108054

Mattia Cafferata, Alessandro Zaccagnini, Alberto Perelli

Publication date: 29 April 2020

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.10179

zbMATH Keywords

modular formsDirichlet's coefficientsSarnak's Mobius conjecture

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Modular and automorphic functions (11F03) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (5)

Discorrelation of multiplicative functions with nilsequences and its application on coefficients of automorphic L‐functions ⋮ Exponential sums over primes with multiplicative coefficients ⋮ A large class of dendrite maps for which Möbius disjointness property of Sarnak is fulfilled ⋮ Exponential sums with multiplicative coefficients without the Ramanujan conjecture ⋮ The generalized Bourgain-Sarnak-Ziegler criterion and its application to additively twisted sums on \(\mathrm{GL}_m\)

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