Zeros of GL<sub>2</sub> 𝐿-functions on the critical line
Zeros of GL<sub>2</sub> 𝐿-functions on the critical line
Abstract We use Levinson’s method and the work of Blomer and Harcos on the <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msub> <m:mi>GL</m:mi> <m:mn>2</m:mn> </m:msub> </m:math> \mathrm{GL}_{2} shifted convolution problem to prove that at least 6.96 % of the nontrivial zeros of the 𝐿-function of a <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msub> <m:mi>GL</m:mi> <m:mn>2</m:mn> </m:msub> </m:math> \mathrm{GL}_{2} automorphic …