Algebraic twists of GL₃× GL₂ L-functions

2019/12/19 by Yongxiao Lin, Lin, Yongxiao, Philippe Michel +3 · 1 citation
Mathematics · #11F55 #11L07 #11M41 #11T23 #32N10 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Analytic Number Theory Research #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1912.09473

openalex publication_date 2019/12/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the coefficients of a GL₃× GL₂ Rankin--Selberg L-function do not correlate with a wide class of trace functions of small conductor modulo primes, generalizing the corresponding result \citeFKM1 for~GL₂ and \citeKLMS for GL₃. This result is inspired by a recent work of P. Sharma who discussed the case of a Dirichlet character of prime modulus.

Cited by

• Spectral aspect subconvex bounds for \rm U_n+1 × \rm U_n

Related

• Twists of GL(3) L-functions
• Hybrid subconvexity bounds for twists of \rm GL₂×\rm GL₂ L-functions
• Bounds for twists of \rm GL(3) L-functions
• The circle method and bounds for L-functions - II: Subconvexity for twists of GL(3) L-functions
• Non-vanishing modulo p of central critical Rankin-Selberg L-values with anticyclotomic twists