Squares Rajwade, A. R.
10/1993, Letnik:
v.Series Number 171
eBook
Many classical and modern results and quadratic forms are brought together in this book. The treatment is self-contained and of a totally elementary nature requiring only a basic knowledge of rings, ...fields, polynomials, and matrices, such that the works of Pfister, Hilbert, Hurwitz and others are easily accessible to non-experts and undergraduates alike. The author deals with many different approaches to the study of squares; from the classical works of the late 19th century, to areas of current research. Anyone with an interest in algebra or number theory will find this a most fascinating volume.
This book presents a variety of intriguing, surprising and appealing topics and nonroutine theorems in real function theory. Chapters 4 and intermediate value property, periodic functions, Rolle's ...theorem, Taylor's theorem, points of tangents.
Many classical and modern results and quadratic forms are brought together in this book. The treatment is self-contained and of a totally elementary nature requiring only a basic knowledge of rings, ...fields, polynomials, and matrices, such that the works of Pfister, Hilbert, Hurwitz and others are easily accessible to non-experts and undergraduates alike. The author deals with many different approaches to the study of squares; from the classical works of the late 19th century, to areas of current research. Anyone with an interest in algebra or number theory will find this a most fascinating volume.
On the congruence y2 ≡ x5 − a (mod p) Rajwade, A. R.
Mathematical proceedings of the Cambridge Philosophical Society,
10/2008, Letnik:
74, Številka:
3
Journal Article
Recenzirano
The object of this paper is to complete the half proved theorem 2 of (1). Let be a primitive fifth root of unity. Any element of Zζ is a polynomial f(ζ) in ζ of degree ≤ 3 since 1 + ζ + ζ2 + ζ3 + ζ4 ...= 0. The units of Zζ are ± ζi(1 + ζ)i or better still , with 0 ≤ i ≤ 4, j ε Z, where is the fundamental unit of the maximal real subfield of Q(ζ).
