3 citations · 6 across the 4 of their papers we have counts for
9 papers
A connection between low-lying zeros and central values of -functions
Didier Lesesvre, Ade Irma Suriajaya
We discuss the relation between statistics on low-lying zeros of -functions and distribution of the associated central values. More precisely, we deduce explicit conditional low…
Zeta Zeros in a Narrow Vertical Box
Daniel A. Goldston, Ade Irma Suriajaya
In 1973 Montgomery proved, assuming the Riemann Hypothesis (RH), that asymptotically at least 2/3 of zeros of the Riemann zeta-function are simple zeros. In a previous note (arXiv:…
Pair Correlation Conjecture for the Zeros of the Riemann Zeta-function I: Simple and Critical Zeros
Daniel Alan Goldston, Junghun Lee, Jordan Schettler +1
Montgomery in 1973 introduced the Pair Correlation Conjecture (PCC) for zeros of the Riemann zeta-function. He also conjectured that asymptotically 100% of the zeros are simple. Hi…
Zeta Zeros on the Critical Line
Daniel A. Goldston, Ade Irma Suriajaya
Montgomery in 1973 introduced the pair correlation method to study the vertical distribution of Riemann zeta-function zeros. This work assumed the Riemann Hypothesis (RH). One stri…
Pair Correlation of Zeros of the Riemann Zeta Function I: Proportions of Simple Zeros and Critical Zeros
Siegfred Alan C. Baluyot, Daniel Alan Goldston, Ade Irma Suriajaya +1
Assuming the Riemann Hypothesis (RH), Montgomery proved a theorem in 1973 concerning the pair correlation of zeros of the Riemann zeta-function and applied this to prove that at le…
The Alternative Hypothesis for Zeros of the Riemann Zeta-Function
Siegfred Alan C. Baluyot, Daniel Alan Goldston, Ade Irma Suriajaya +1
In 2016, the first-named author introduced a formulation of the Alternative Hypothesis that assumes that consecutive zeros of the Riemann zeta-function are spaced at multiples of h…