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There are 913 regular ternary forms

Published online by Cambridge University Press:  26 February 2010

William C. Jagy ,
Irving Kaplansky  and
Alexander Schiemann
William C. Jagy
Affiliation:
Mathematical Sciences Research Institute, 1000 Centennial Drive, Berkeley, CA 94720, U.S.A.
Irving Kaplansky
Affiliation:
Mathematical Sciences Research Institute, 1000 Centennial Drive, Berkeley, CA 94720, U.S.A.
Alexander Schiemann
Affiliation:
Universitát des Saarlandes, FB9 Mathematik, Postfach 151150, D-66041 Saarbrücken, Germany
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Extract

The forms under discussion are integral positive definite quadratic forms in three variables. Such a form g is called regular if g represents every integer represented by the genus of g. This can be recast in elementary terms: g is regular if the solvability of g≡a (mod n) for every n implies the solvability of g = a.

Type
Research Article
Information
Mathematika , Volume 44 , Issue 2 , December 1997 , pp. 332 - 341
Copyright
Copyright © University College London 1997

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