Document Type
Lecture
Publication Date
11-16-2022
Abstract
Let φ be the symmetric-square lift of an SL₂(ℤ) Hecke-Maass form. Let q be an odd cube-free positive integer, and let χ be a primitive Dirichlet character modulo q such that χ is not quadratic. Let f be an even Hecke-normalized Hecke-Maass newform of level dividing q, central character X̄², and spectral parameter tf. We show the following subconvexity bounds for twisted L-functions on GL(3) × GL(2) and GL(3): for any ε > 0, L(1/2, φ × f × χ) ≪ (q⁵/₄ + ε), and L(1/2 + it, φ × χ) ≪ (q⁵/₈ + ε), where the implied constants depend polynomially on t and tf.
Relational Format
presentation
Recommended Citation
Ganguly, Soumendra, "Subconvexity for Twisted L-Functions on GL(3) × GL(2) and GL(3)" (2022). Algebra/Number Theory Seminar. 11.
https://egrove.olemiss.edu/math_algebra_number_theory/11
