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Pairs of quadratic forms modulo one

Published online by Cambridge University Press:  18 May 2009

R. C. Baker  and
J. Brüdern
R. C. Baker
Affiliation:
Department of MathematicsRoyal Holloway and Bedford New CollegeEgham Surrey TW20 0EXUK
J. Brüdern
Affiliation:
Mathematisches Institut Georg-August-UniversitätBunsenstrasse 3–5 D-3400 GöttingenGermany
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Let s be a natural number, s ≥ 2. We seek a positive number λ(s) with the following property:

Let ε > 0. Let Q1(x1, …, xs), Q2(x1, …, xs) be real quadratic forms, then for N > C1(s, ε) we have

for some integers n1, …, ns,

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 35 , Issue 1 , January 1993 , pp. 51 - 61
Copyright
Copyright © Glasgow Mathematical Journal Trust 1993

References

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