We start with a brief account of the theory of uniform distribution modulo one founded by
Weyl and others around 100 years ago (which is neither supposed to be complete nor …

Given any complex number aa, we prove that there are infinitely many simple roots of the
equation ζ (s)= a ζ (s)= a with arbitrarily large imaginary part. Besides, we give a heuristic …

We extend the understanding of an approximation developed for the Riemann zeta-function.
We demonstrated the approximation to have zero and a-value counts similar to the Riemann …

In this paper, we study the value distribution of the derivative of a Dirichlet $ L $-function $
L'(s,\chi) $ at the $ a $-points $\rho_ {a,\chi}=\beta_ {a,\chi}+ i\gamma_ {a,\chi} $ of $ L …

We study the value distribution of the Riemann zeta function near the line Re s= 1/2. We find
an asymptotic formula for the number of a-values in the rectangle 1/2+ h 1/(log⁡ T) θ≤ Re …

Let $\rho $ denote the non-trivial zeros of the Riemann zeta function. We study the relative
value distribution of $ L (\rho+\sigma,\chi_ {1}) $ and $ L (\rho+\sigma,\chi_ {2}) $, where …

In this paper, we point out that there exists a positive percentage of the simple a-points of Lχ
for a complex number a. Furthermore, we establish some inequalities about the number of …

关于L-函数的问题 Page 1 第51卷第6期 Vol.51 No.6 山东大学学报(理学版)
JournalofShandongUniversity(NaturalScience) 2016年6月 Jun.2016 Receiveddate:2016-04-22;Onlinepublishingdate:2016-05-1714∶44∶05 …

In this thesis we explore a variety of topics in analytic number theory and automorphic forms.
In the classical context, we look at the value distribution of two Dirichlet L-functions in the …

We consider three different problems in the theory of the Riemann zeta-function. The first
problem concerns the distribution of the logarithmic derivative of the Riemann zeta-function …