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Displaying 341 – 360 of 694

Polynomials in many variables

Hugh L. Montgomery (1975/1976)

Séminaire Delange-Pisot-Poitou. Théorie des nombres

Polynomials Involving the Floor Function.

Inger J. Haland, Donald E. Knuth (1995)

Mathematica Scandinavica

Polynomials of Galois representations attached to elliptic curves.

A. Reverter, N. Vila (2000)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

Polynomials of multipartitional type and inverse relations

Miloud Mihoubi, Hacène Belbachir (2011)

Discussiones Mathematicae - General Algebra and Applications

Chou, Hsu and Shiue gave some applications of Faà di Bruno's formula to characterize inverse relations. Our aim is to develop some inverse relations connected to the multipartitional type polynomials involving to binomial type sequences.

Polynomials of Pellian Type and Continued Fractions

Mollin, R. (2001)

Serdica Mathematical Journal

We investigate infinite families of integral quadratic polynomials {fk (X)} k∈N and show that, for a fixed k ∈ N and arbitrary X ∈ N, the period length of the simple continued fraction expansion of √fk (X) is constant. Furthermore, we show that the period lengths of √fk (X) go to infinity with k. For each member of the families involved, we show how to determine, in an easy fashion, the fundamental unit of the underlying quadratic field. We also demonstrate how the simple continued fraction ex-...

Polynomials of the form $g (x^{k})$ and pseudoprimes with respect to linear recurring sequences

František Marko (1992)

Mathematica Slovaca

Polynomials over $Q$ solving an embedding problem

Nuria Vila (1985)

Annales de l'institut Fourier

The fields defined by the polynomials constructed in E. Nart and the author in J. Number Theory 16, (1983), 6–13, Th. 2.1, with absolute Galois group the alternating group $A_{n}$ , can be embedded in any central extension of $A_{n}$ if and only if $n \equiv 0 (m o d 8)$ , or $n \equiv 2 (m o d 8)$ and $n$ is a sum of two squares. Consequently, for theses values of $n$ , every central extension of $A_{n}$ occurs as a Galois group over $Q$ .