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THE PARITY PROBLEM FOR REDUCIBLE CUBIC FORMS

Published online by Cambridge University Press:  24 April 2006

H. A. HELFGOTT
H. A. HELFGOTT
Affiliation:
Département de Mathématiques et Statistique, Université de Montréal, CP 6128 succ Centre-Ville, Montréal, Québec, H3C 3J7, Canadahelfgott@dms.umontreal.ca
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Abstract

Let $f\in \mathbb{Z}[ x,y]$ be a reducible homogeneous polynomial of degree 3. We show that $f(x,y)$ has an even number of prime factors as often as an odd number of prime factors.

Keywords

11N32 (primary)11N3511N36 (secondary)
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 73 , Issue 2 , April 2006 , pp. 415 - 435
Copyright
The London Mathematical Society 2006

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