Moments of $L$-functions and the Liouville–Green method
نویسندگان
چکیده
We show that the percentage of primitive forms level one and weight $4k\rightarrow \infty$ for which associated $L$-function at central point is no less than $(\log{k})^{-2}$ least 20%. The key ingredients our proof are Kuznetsov convolution formula Liouville-Green method.
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ژورنال
عنوان ژورنال: Journal of the European Mathematical Society
سال: 2021
ISSN: ['1435-9855', '1435-9863']
DOI: https://doi.org/10.4171/jems/1035