7 citations · 7 across the 8 of their papers we have counts for
6 papers · 1 filter
The error term in counting prime pairs
Leon Chou, Summer Haag, Jake Huryn +1
We relate the size of the error term in the Hardy-Littlewood conjectured formula for the number of prime pairs to the norm of an exponential sum over the primes formed with…
Linnik's large sieve and the norm of exponential sums
Emily Eckels, Steven Jin, Andrew Ledoan +1
The method of proof of Balog and Ruzsa and the large sieve of Linnik are used to investigate the behaviour of the norm of a wide class of exponential sums over the square-f…
Distribution of Large Gaps Between Primes
Scott Funkhouser, Daniel A. Goldston, Andrew H. Ledoan
We survey some past conditional results on the distribution of large differences between consecutive primes and examine how the Hardy-Littlewood prime k-tuples conjecture can be ap…
Zeros of partial sums of the Dedekind zeta function of a cyclotomic field
Andrew Ledoan, Arindam Roy, Alexandru Zaharescu
In this article, we study the zeros of the partial sums of the Dedekind zeta function of a cyclotomic field defined by the truncated Dirichlet series \[ ζ_{K, X} (s) = \sum_{\|…
Jumping champions and gaps between consecutive primes
D. A. Goldston, A. H. Ledoan
The most common difference that occurs among the consecutive primes less than or equal to is called a jumping champion. Occasionally there are ties. Therefore there can be more…
Zeros of partial sums of the Riemann zeta-function
S. M. Gonek, A. H. Ledoan
We investigate the distribution of the zeros of partial sums of the Riemann zeta-function, sum_{n\leq X}n^{-s}, estimating the number of zeros up to height T, the number of zeros t…