141 Citations
On the Zeros of Riemann’s Zeta-Function on the Critical Line
- Philosophy
- 1991
The present paper is a detailed exposition of the author’s report delivered at the International Sympozium in Memory of Hua Loo Keng, Beijing, on August the 6th, 1988.
The zeros of a Dirichlet L function on the critical line
- Mathematics, Philosophy
- 1976
Selberg's result on the zeros of the Riemann ζ function for Re s = 1/2 is generalized to the derivatives of Dirichlet L functions. In the proof Selberg's method and Lavrik's truncated functional…
Zeros ofL-functions attached to Maass forms
- Mathematics
- 1985
This paper considers PSL(2,ℤ)-automorphic cusp forms (the Maass forms) and
their associated Dirichlet series. There are two major results. The first uses real
variable techniques to give an…
On a choice of the mollified function in the Levinson-Conrey method
- Mathematics
- 2014
Motivated by a functional property of the Riemann zeta function, we consider a new form of the mollified function in the Levinson-Conrey method. As an application, we give the following slight…
Riemann and his zeta function
- Mathematics
- 2005
An exposition is given, partly historical and partly mathematical, of the Riemann zeta function � ( s ) and the associated Riemann hypothesis. Using techniques similar to those of Riemann, it is…
ON THE ZEROS OF THE DAVENPORT-HEILBRONN FUNCTION LYING ON THE CRITICAL LINE
- History
- 1991
It is proved that at least zeros of the Davenport-Heilbronn function lie on the segment of the critical line. Bibliography: 12 titles.
Zeros of combinations of the Riemann Ξ-function and the confluent hypergeometric function on bounded vertical shifts
- MathematicsJournal of Mathematical Analysis and Applications
- 2018