Quartic normal extensions of the rational field
نویسندگان
چکیده
منابع مشابه
Counting cyclic quartic extensions of a number field
In this paper, we give asymptotic formulas for the number of cyclic quartic extensions of a number field. 1. Galois, Kummer, and Hecke Theory 1.
متن کاملNORMAL FIELD EXTENSIONS Kjk AND
Throughout the paper Kjk is a field extension and p is the exponent characteristic. In this paper I introduce the notion of .K/fc-bialgebra (coalgebra over K and algebra over k) and describe a theory of finite dimensional normal field extensions Kjk based on a ^-measuring A /̂A:-bialgebra H(Kjk) (see 1.2, 1.6 and 1.10). This approach to studying Kjk was inspired by my conviction that a successfu...
متن کاملRational Quartic Reciprocity
In 1985, K. S. Williams, K. Hardy and C. Friesen [11] published a reciprocity formula that comprised all known rational quartic reciprocity laws. Their proof consisted in a long and complicated manipulation of Jacobi symbols and was subsequently simplified (and generalized) by R. Evans [3]. In this note we give a proof of their reciprocity law which is not only considerably shorter but also she...
متن کاملRational Quartic Reciprocity Ii
for every prime p ≡ 1 mod 4 such that (p/pj) = +1 for all 1 ≤ j ≤ r. This is ’the extension to composite values of m’ that was referred to in [3], to which this paper is an addition. Here I will fill in the details of a proof, on the one hand because I was requested to do so, and on the other hand because this general law can be used to derive general versions of Burde’s and Scholz’s reciprocit...
متن کاملextensions of some polynomial inequalities to the polar derivative
توسیع تعدادی از نامساوی های چند جمله ای در مشتق قطبی
15 صفحه اولذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
سال: 1991
ISSN: 0263-6115
DOI: 10.1017/s1446788700034637