Displaying 2821 – 2840 of 3014

Showing per page

On the zeta functions of prehomogeneous vector spaces for a pair of simple algebras

Takashi Taniguchi (2007)

Annales de l’institut Fourier

In this paper we consider the prehomogeneous vector space for a pair of simple algebras which are inner forms of the D 4 type and the E 6 type. We mainly study the non-split cases. The main purpose of this paper is to determine the principal parts of the global zeta functions associated with these spaces when the simple algebras are non-split. We also give a description of the sets of rational orbits of these spaces, which clarifies the expected density theorems arising from the properties of these...

On three questions concerning 0 , 1 -polynomials

Michael Filaseta, Carrie Finch, Charles Nicol (2006)

Journal de Théorie des Nombres de Bordeaux

We answer three reducibility (or irreducibility) questions for 0 , 1 -polynomials, those polynomials which have every coefficient either 0 or 1 . The first concerns whether a naturally occurring sequence of reducible polynomials is finite. The second is whether every nonempty finite subset of an infinite set of positive integers can be the set of positive exponents of a reducible 0 , 1 -polynomial. The third is the analogous question for exponents of irreducible 0 , 1 -polynomials.

On three-rowed chomp.

Brouwer, Andries E., Horváth, Gábor, Molnár-Sáska, Ildikó, Szabó, Csaba (2005)

Integers

Currently displaying 2821 – 2840 of 3014