ALGEBRAIC TWISTS OF GL₃ x GL₂ L-FUNCTIONS

We prove that the coefficients of a GL3 x GL2 Rankin-Selberg L-function do not correlate with a wide class of trace functions of small conductor modulo primes, generalizing the corresponding result of Fouvry, Kowalski, and Michel for GL2 and of Kowalski, Lin, Michel, and Sawin for GL3. This result is inspired by a recent work of P. Sharma who discussed the case of a Dirichlet character of prime modulus.