An extension of the Bourgain-Sarnak-Ziegler theorem with modular applications

Abstract

We prove an extension of the Bourgain-Sarnak-Ziegler theorem and then apply it to bound certain polynomial exponential sums with modular coefficients.

15 pages. Final version. To appear in Quart. J. Math. Oxford

References in corpus (2)

• Strong orthogonality between the Möbius function, additive characters, and Fourier coefficients of cusp forms
• Twists and resonance of L-functions, II

Cited by in corpus (1)

• Discorrelation of multiplicative functions with nilsequences and its application on coefficients of automorphic $L$-functions