Hostname: page-component-76fb5796d-25wd4 Total loading time: 0 Render date: 2024-04-26T01:37:30.774Z Has data issue: false hasContentIssue false
  • English
  • Français

A THREE SQUARES THEOREM WITH ALMOST PRIMES

Published online by Cambridge University Press:  02 August 2005

VALENTIN BLOMER  and
JÖRG BRÜDERN
VALENTIN BLOMER
Affiliation:
Department of Mathematics, 100 St Georges Street, Toronto, Ontario, Canada M5S 3G3, blomer@uni-math.gwgd.de
JÖRG BRÜDERN
Affiliation:
Institut für Algebra und Zahlentheorie, Universität Stuttgart, Pfaffenwaldring 57, D-70569 Stuttgart, Germanybruedern@mathematik.uni-stuttgart.de
Get access

Abstract

As an application of the vector sieve and uniform estimates on the Fourier coefficients of cusp forms of half-integral weight, it is shown that any sufficiently large number $n\equiv 3$ (mod 24) with $5 \nmid n$ is expressible as a sum of three squares of integers having at most 521 prime factors.

Keywords

11P0511N3611N7511E25
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 37 , Issue 4 , August 2005 , pp. 507 - 513
Copyright
© The London Mathematical Society 2005

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)