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Modular forms of degree n and representation by quadratic forms IV

Published online by Cambridge University Press:  22 January 2016

Yoshiyuki Kitaoka
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Let M be a quadratic lattice with positive definite quadratic form over the ring of rational integers, M’ a submodule of finite index, S a finite set of primes containing all prime divisors of 2[M: M’] and such that Mp is unimodular for p ∉ S. In [2] we showed that there is a constant c such that for every lattice N with positive definite quadratic form and every collection (fp)p∊s of isometries fp: NP → MP there is an isometry f: N → M satisfying

f ≡ fp mod M′p for every p |[M: M],

f(Np) is private in Mp for every p ∉ S,

provided the minimum of N ≥ c and rank M ≥ 3 rank N + 3.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 107 , September 1987 , pp. 25 - 47
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1987

References

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