An application of counting ideals in ray classes

Authors

Sanoli Gun, Homi Bhabha National Institute
Olivier Ramaré, Institut de Mathématiques de Marseille
Jyothsnaa Sivaraman, Indian Statistical Institute Bangalore

Article Type

Research Article

Publication Title

Acta Arithmetica

Abstract

We prove a fully explicit generalized Brun–Titchmarsh theorem for an imaginary quadratic field K. More precisely, for any finite family of linearly independent linear forms with coefficients in [Formula presented], we count the number of integers at which all these linear forms take prime values in [Formula presented].

First Page

99

Last Page

121

DOI

10.4064/aa230406-10-6

Publication Date

1-1-2024

Recommended Citation

Gun, Sanoli; Ramaré, Olivier; and Sivaraman, Jyothsnaa, "An application of counting ideals in ray classes" (2024). Journal Articles. 4592.
https://digitalcommons.isical.ac.in/journal-articles/4592