Almost prime coordinates for anisotropic and thin pythagorean orbits

Almost prime coordinates for anisotropic and thin pythagorean orbits

We make an observation which doubles the exponent of distribution in certain Affine Sieve problems, such as those considered by Liu-Sarnak, Kontorovich, and Kontorovich-Oh. As a consequence, we decrease the known bounds on the saturation numbers in these problems.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Israel journal of mathematics 2015-09, Vol.209 (1), p.397-420
Hauptverfasser: Hong, Jiuzu, Kontorovich, Alex
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Applications of Mathematics
Group Theory and Generalizations
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Theoretical
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We make an observation which doubles the exponent of distribution in certain Affine Sieve problems, such as those considered by Liu-Sarnak, Kontorovich, and Kontorovich-Oh. As a consequence, we decrease the known bounds on the saturation numbers in these problems.
ISSN:0021-2172
1565-8511
DOI:10.1007/s11856-015-1223-3