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Quadratic and higher reciprocity of modular polynomials

Published online by Cambridge University Press:  24 October 2008

H. C. Pocklington
H. C. Pocklington
Affiliation:
St John's CollegeCambridge
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Extract

1. We first compare the λ-ic characters of two polynomials with respect to each other and the prime p, the polynomials being irreducible with respect to p. This is done by relating each to the resultant of the polynomials. We then show in § 6 that the ordinary quadratic character of one prime with respect to another is also the resultant of two polynomials.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 40 , Issue 3 , November 1944 , pp. 212 - 214
Copyright
Copyright © Cambridge Philosophical Society 1944

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