Bounds for moments of modular $L$-functions to a fixed modulus
نویسندگان
چکیده
We study the $2k$th moment of family twisted modular $L$-functions to a fixed prime power modulus at central values. establish sharp lower bounds for all real $k \geq 0$ and upper $0 \leq k 1$.
منابع مشابه
Lower bounds for moments of L-functions.
The moments of central values of families of L-functions have recently attracted much attention and, with the work of Keating and Snaith [(2000) Commun. Math. Phys. 214, 57-89 and 91-110], there are now precise conjectures for their limiting values. We develop a simple method to establish lower bounds of the conjectured order of magnitude for several such families of L-functions. As an example ...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 2022
ISSN: ['0065-1036', '1730-6264']
DOI: https://doi.org/10.4064/aa211124-24-6