275 citations
- Queen's UniversityCA70 papers
- Queen's University BelfastGB27 papers
- University of OxfordGB14 papers
- University of WarwickGB13 papers
- AlbaNovaSE10 papers
- Institute of Space SciencesES10 papers
- European Southern ObservatoryCL9 papers
- Institut d'Estudis Espacials de CatalunyaES9 papers
- Astronomical ObservatoryRS8 papers
- California Institute of TechnologyUS8 papers
- Center for Astrophysics Harvard & SmithsonianUS8 papers
- Trinity College DublinIE8 papers
4 papers · 1 filter
The De Bruijn-Newman constant is non-negative
Brad Rodgers, Terence Tao
For each , define the entire function where is the super-exponentially decaying function $$ Φ(u) := \sum_…
A short note on sign changes
Jaban Meher, Karam Deo Shankhadhar, G. K. Viswanadham
In this paper, we present a quantitative result for the number of sign changes for the sequences of the Fourier coefficients of normalized Hecke eige…
Splitting fields of characteristic polynomials of random elements in arithmetic groups
F. Jouve, E. Kowalski, D. Zywina
We discuss rather systematically the principle, implicit in earlier works, that for a "random" element in an arithmetic subgroup of a (split, say) reductive algebraic group over a…
Representations of integers by certain positive definite binary quadratic forms
Ram Murty, Robert Osburn
We prove part of a conjecture of Borwein and Choi concerning an estimate on the square of the number of solutions to n=x^2+Ny^2 for a squarefree integer N.