The second moment of quadratic twists of modular L-functions
By Kannan Soundararajan, M. Young. 2009
92 citations recorded by the source corpus.
We study the second moment of the central values of quadratic twists of a modular L-function. Unconditionally, we obtain a lower bound which matches the conjectured asymptotic formula, while on GRH we prove the asymptotic formula itself.
Subfields: Algebra and Number Theory, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/ebe0125588e1057d3ef2fd65f904449973c880dd
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In Algebra and Number Theory
- Adam J Harper
- Alexandra Florea
- Maksym Radziwill
- Kannan Soundararajan
- Joseph Najnudel
- L. Arguin
- Paul D. Nelson
- M. Young
In Mathematical Physics
- Alexandra Florea
- Maksym Radziwill
- Adam J Harper
- Kannan Soundararajan
- Paul D. Nelson
- Joseph Najnudel
- M. Young
- Terence Tao
Citations in the corpus
- Moments and distribution of central L\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L$$\end{document}-values of quadr (2014, background): “10 Proof of Proposition 2 The proof of Proposition 2 follows the general plan of the arguments in [30] and [31] (see also [18]); therefore, in some places below we have been brief, and suppressed some details.”
- The fourth moment of quadratic Dirichlet L-functions over function fields (2016, methodology): “[24] K. Soundararajan and Matthew P. Young.”
- Moments of random multiplicative functions, II: High moments (2018, background): “ some other contexts where a transition from orthogonal/symplectic to unitary behaviour arises, as for large t here, see the papers of Florea [4], Keating and Odgers [13], and Soundararajan and Young [20], for example. 6 ADAMJHARPER (logx)/2 (say) we get a contribution eO(q2)xq 1 log2q−1x( logx qlog”