A density theorem on automorphic 𝐿-functions and some applications

YK Lau, J Wu - Transactions of the American Mathematical Society, 2006 - ams.org
A DENSITY THEOREM ON AUTOMORPHIC L-FUNCTIONS AND SOME APPLICATIONS 1.
Introduction The distribution of zeros is an important are Page 1 TRANSACTIONS OF THE …

Distribution of values of L-functions at the edge of the critical strip

Y Lamzouri - Proceedings of the London Mathematical Society, 2010 - academic.oup.com
We prove several results on the distribution of values of L-functions at the edge of the critical
strip, by constructing and studying a large class of random Euler products. Among new …

The two-dimensional distribution of values of ζ (1+ it)

Y Lamzouri - International Mathematics Research Notices, 2008 - ieeexplore.ieee.org
doi: 10.1093/imrn/rnn106 Page 1 Lamzouri, Y. (2008) “The Two-Dimensional Distribution of
Values of ζ(1 + it),” International Mathematics Research Notices, Vol. 2008, Article ID rnn106, 48 …

On a conjecture of Montgomery-Vaughan on extreme values of automorphic L-functions at 1

J Liu, E Royer, J Wu - arXiv preprint math/0604334, 2006 - arxiv.org
arXiv:math/0604334v3 [math.NT] 25 Jun 2007 Page 1 arXiv:math/0604334v3 [math.NT] 25
Jun 2007 On a conjecture of Montgomery-Vaughan on extreme values of automorphic L-functions …

[PDF][PDF] Extreme values of symmetric power L-functions at 1

Y Lau, J Wu - ACTA ARITHMETICA-WARSZAWA-, 2007 - hkumath.hku.hk
EXTREME VALUES OF SYMMETRIC POWER L-FUNCTIONS AT 1 § 1. Introduction The study
on the extreme values of Dirichlet L-functions a Page 1 EXTREME VALUES OF SYMMETRIC …

[HTML][HTML] Absolute values of L-functions for GL (n, R) at the point 1

YK Lau, Y Wang - Advances in Mathematics, 2018 - Elsevier
We study the values of| L (1, F)| for Hecke–Maass cusp forms F on SL (n, Z)(n≥ 3) of large
Langlands parameters. New unconditional results on the extreme values and conditional …

Lower order terms for the one-level densities of symmetric power -functions in the level aspect

G Ricotta, E Royer - arXiv preprint arXiv:0806.2908, 2008 - arxiv.org
In a previous paper, the authors determined, among other things, the main terms for the one-
level densities for low-lying zeros of symmetric power L-functions in the level aspect. In this …

[HTML][HTML] Distribution of values of symmetric power L-functions at the edge of the critical strip

X Xiao - Journal of Number Theory, 2016 - Elsevier
We study some problems on the distribution of values of symmetric power L-functions at s= 1
in both aspects of level and weight: bounds of these values, extreme values, Montgomery …

A MEAN VALUE RESULT FOR A PRODUCT OF GL (2) AND GL (3)-FUNCTIONS

O Balkanova, G Bhowmik, D Frolenkov, N Raulf - Mathematika, 2019 - cambridge.org
In this paper various analytic techniques are combined in order to study the average of a
product of a Hecke-function at the central point in the weight aspect. The evaluation of the …

Distribution of values at 1 of symmetric power -functions of Maass cusp forms

Y Wang, X Xiao - Acta Arithmetica, 2016 - impan.pl
We consider the distribution of values of symmetric power $ L $-functions of Maass cusp
forms at $ s= 1$ in the weight aspect. We investigate the bounds of symmetric power $ L …