In this article, we study the distribution of values of Dirichlet $L$-functions, the distribution of values of the random models for Dirichlet $L$-functions, and the discrepancy between these two kinds of distributions. For each question, we consider the cases of $\frac12<\RE s<1$ and $\RE s=1$ separately.Comment: 24 page
summary:Let $q\ge 3$ be an integer, let $\chi $ denote a Dirichlet character modulo $q.$ For any rea...
This is the author accepted manuscript. The final version is available from Springer Verlag via the ...
We investigate the distribution of the Riemann zeta-function on the line Re(s) = σ. For ½ < σ ≤ 1 we...
We consider the joint value distribution of Dirichlet $L$-functions in the critical strip $\frac{1}{...
We estimate the 1-level density of low-lying zeros of L(s,χ) with χ ranging over primitive Dirichlet...
We look at the values of two Dirichlet $L$-functions at the Riemann zeros (or a horizontal shift of ...
AbstractWe obtain an asymptotic formula for the first moment of quadratic Dirichlet L-functions over...
Fung Yiu-cho.Bibliography: leaves 93-114Thesis (M.Phil.)--Chinese University of Hong Kong, 198
The main purpose of this paper is to establish bounds on the second moment of $L\big(\tfrac{1}{2}+it...
Abstract: In the 1960\u27s, Burgess proved a subconvexity bound for Dirichlet L-functions. However, ...
By assuming the Ramanujan conjecture, we approximate L-functions associated to $SL(3,\mathbb{Z})$ He...
Abstract. We study the distribution of large (and small) values of several families of L-functions o...
((no abstract))Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/43498/1/39_2003_Article_...
The class of Dirichlet series associated with a periodic arithmetical function $f$ includes the Riem...
summary:Let $q\ge 3$ be an integer, let $\chi $ denote a Dirichlet character modulo $q.$ For any rea...
summary:Let $q\ge 3$ be an integer, let $\chi $ denote a Dirichlet character modulo $q.$ For any rea...
This is the author accepted manuscript. The final version is available from Springer Verlag via the ...
We investigate the distribution of the Riemann zeta-function on the line Re(s) = σ. For ½ < σ ≤ 1 we...
We consider the joint value distribution of Dirichlet $L$-functions in the critical strip $\frac{1}{...
We estimate the 1-level density of low-lying zeros of L(s,χ) with χ ranging over primitive Dirichlet...
We look at the values of two Dirichlet $L$-functions at the Riemann zeros (or a horizontal shift of ...
AbstractWe obtain an asymptotic formula for the first moment of quadratic Dirichlet L-functions over...
Fung Yiu-cho.Bibliography: leaves 93-114Thesis (M.Phil.)--Chinese University of Hong Kong, 198
The main purpose of this paper is to establish bounds on the second moment of $L\big(\tfrac{1}{2}+it...
Abstract: In the 1960\u27s, Burgess proved a subconvexity bound for Dirichlet L-functions. However, ...
By assuming the Ramanujan conjecture, we approximate L-functions associated to $SL(3,\mathbb{Z})$ He...
Abstract. We study the distribution of large (and small) values of several families of L-functions o...
((no abstract))Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/43498/1/39_2003_Article_...
The class of Dirichlet series associated with a periodic arithmetical function $f$ includes the Riem...
summary:Let $q\ge 3$ be an integer, let $\chi $ denote a Dirichlet character modulo $q.$ For any rea...
summary:Let $q\ge 3$ be an integer, let $\chi $ denote a Dirichlet character modulo $q.$ For any rea...
This is the author accepted manuscript. The final version is available from Springer Verlag via the ...
We investigate the distribution of the Riemann zeta-function on the line Re(s) = σ. For ½ < σ ≤ 1 we...