Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Biquadratic reciprocity laws


Author: Ezra Brown
Journal: Proc. Amer. Math. Soc. 37 (1973), 374-376
MSC: Primary 10A15
DOI: https://doi.org/10.1090/S0002-9939-1973-0313172-8
MathSciNet review: 0313172
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let $ p \equiv q \equiv 1\;(\bmod 4)$ be distinct primes such that $ (p\vert q) = 1$, and let $ g = [k,2m,n]$ be a binary quadratic form of determinant q which represents p. Subject to certain restrictions on k and q, we obtain some reciprocity laws for the fourth-power residue symbols $ {(p\vert q)_4}$ and $ {(q\vert p)_4}$.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 10A15

Retrieve articles in all journals with MSC: 10A15


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1973-0313172-8
Article copyright: © Copyright 1973 American Mathematical Society