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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
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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

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