4.2k citations
- Princeton UniversityUS80 papers
- Harvard UniversityUS33 papers
- Albert Einstein College of MedicineUS31 papers
- California Institute of TechnologyUS24 papers
- Center for Astrophysics Harvard & SmithsonianUS22 papers
- University of California, Santa CruzUS22 papers
- University of California, BerkeleyUS20 papers
- University of OxfordGB20 papers
- Centre National de la Recherche ScientifiqueFR15 papers
- Rutgers, The State University of New JerseyUS15 papers
- University of Wisconsin–MadisonUS15 papers
- Leiden UniversityNL14 papers
4 papers · 2 filters
Bounding in the critical strip
Emanuel Carneiro, Vorrapan Chandee
Assuming the Riemann Hypothesis, we make use of the recently discovered \cite{CLV} extremal majorants and minorants of prescribed exponential type for the function $\log\left(\tfra…
On a Theorem of Friedlander and Iwaniec
Jean Bourgain, Alex Kontorovich
In [FI09], Friedlander and Iwaniec studied the so-called Hyperbolic Prime Number Theorem, which asks for an infinitude of elements gamma in SL(2,Z) such that the norm squared |gamm…
On discrete fractional integral operators and mean values of Weyl Sums
Lillian B. Pierce
In this paper we prove new bounds for a discrete fractional integral operator by applying techniques motivated by the circle method of Hardy and Littlewood to th…
A proof of the positive density conjecture for integer Apollonian circle packings
Jean Bourgain, Elena Fuchs
A bounded Apollonian circle packing (ACP) is an ancient Greek construction which is made by repeatedly inscribing circles into the triangular interstices in a Descartes configurati…