Polynomials in many variables
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Displaying 341 – 360 of 694
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 and pseudoprimes with respect to linear recurring sequences
František Marko (1992)
Mathematica Slovaca
Polynomials over 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 , can be embedded in any central extension of if and only if , or and is a sum of two squares. Consequently, for theses values of , every central extension of occurs as a Galois group over .
Polynomials taking prime values. (Polynômes prenant des valeurs premières.)
Dress, François, Olivier, Michel (1999)
Experimental Mathematics
Polynomials that divide many trinomials
Hans Peter Schlickewei, Carlo Viola (1997)
Acta Arithmetica
Polynomials whose powers are sparse
Don Coppersmith, James Davenport (1991)
Acta Arithmetica
Polynomials whose values are powers.
P. Ribenboim (1974)
Journal für die reine und angewandte Mathematik
Polynomials with height 1 and prescribed vanishing at 1.
Borwein, Peter, Mossinghoff, Michael J. (2000)
Experimental Mathematics
Polynomials with high multiplicity
Francesco Amoroso (1990)
Acta Arithmetica
Polynomials with integral coefficients, equivalent to a given polynomial.
Kollár, János (1997)
Electronic Research Announcements of the American Mathematical Society [electronic only]
Polynomials with minimal value set over Galois rings.
Acosta-de-Orozco, Maria T., Gomez-Calderon, Javier (1991)
International Journal of Mathematics and Mathematical Sciences
Polynomials with small discriminants and regular systems of real algebraic numbers.
Bernik, V.I., Kukso, O.S. (2005)
Zapiski Nauchnykh Seminarov POMI
Portraits of Numbers
Ljubiša M. Kocić (1999)
Visual Mathematics
Positions of value in generalized domineering and chess.
Drummond-Cole, Gabriel C. (2005)
Integers
Positive integers such that .
Luca, Florian (2003)
Novi Sad Journal of Mathematics
Positive integers such that .
De Koninck, Jean-Marie, Luca, Florian (2008)
Journal of Integer Sequences [electronic only]