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On the Arithmetic of Pfaffians1)

Published online by Cambridge University Press:  22 January 2016

Jun-Ichi Igusa
Jun-Ichi Igusa*
Affiliation:
The Johns Hopkins University, Baltimore, Maryland 21218
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In this paper, we shall supply proofs to the results announced in [2], pp. 74-75: we shall prove the Siegel formula for the Pfaffian of degree n over an algebraic number field and also determine the zeta function of the Pfaffian. In the appendix, we shall briefly discuss the non-split case where the Pfaffian is replaced by the norm form of the simple Jordan algebra of quaternionic hermitian matrices of degree n.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 47 , September 1972 , pp. 169 - 198
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1972

Footnotes

1)

This work was partially supported by the National Science Foundation.

References

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