Hybrid subconvexity for class group ๐ฟ-functions and uniform sup norm bounds of Eisenstein series
Hybrid subconvexity for class group ๐ฟ-functions and uniform sup norm bounds of Eisenstein series
Abstract In this paper, we study hybrid subconvexity bounds for class group L -functions associated to quadratic extensions <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mi>K</m:mi> <m:mo>/</m:mo> <m:mi>โ</m:mi> </m:mrow> </m:math> {K/\mathbb{Q}} (real or imaginary). Our proof relies on relating the class group L -functions to Eisenstein series evaluated at Heegner points using formulas due โฆ