Results 11 to 20 of about 600 (30)

Value sets of sparse polynomials [PDF]

, 2018
We obtain a new lower bound on the size of value set f(F_p) of a sparse polynomial f in F_p[X] over a finite field of p elements when p is prime. This bound is uniform with respect of the degree and depends on some natural arithmetic properties of the ...
Shparlinski, Igor E., Voloch, Jose Felipe   +1 more
core   +2 more sources

Multi-wavelength observations of Galactic hard X-ray sources discovered by INTEGRAL. I. The nature of the companion star [PDF]

, 2008
Context: The INTEGRAL hard X-ray observatory has revealed an emerging population of highly obscured X-ray binary systems through multi-wavelength observations.
Bird, Bird, Bodaghee, Bodaghee, Bohlin, Bronfman, C. Foellmi, Capitanio, Cardelli, Caron, Chaty, Chernyakova, Corbet, Corbet, Corbet, Corbet, Dean, Dickey, F. Rahoui, Filliatre, Hannikainen, Hannikainen, Hanson, Hill, in 't Zand, J. A. Tomsick, J. Rodriguez, Kennea, Kouveliotou, Kuulkers, Landolt, Lebrun, Levine, Liu, Liu, Lutovinov, Lutovinov, Lutovinov, Malizia, Malizia, Malizia, Markwardt, Masetti, Molkov, Munari, Munari, Negueruela, Negueruela, Nespoli, Patel, Pellizza, Persson, Predehl, R. Walter, Rahoui, Revnivtsev, Revnivtsev, Revnivtsev, Rodriguez, Rodriguez, Rodriguez, Rupen, Russeil, S. Chaty, Sguera, Sguera, Sguera, Smith, Smith, Stephen, Sunyaev, Swank, Thompson, Thompson, Tomsick, Tomsick, Tomsick, Türler, Walter, Walter, Zurita Heras   +80 more
core   +6 more sources

Associative nil-algebras over finite fields [PDF]

, 2013
The nilpotency degree of a relatively free finitely generated associative algebra with the identity $x^n=0$ is studied over finite fields.Comment: 12 ...
Artem A. Lopatin, Ivan, P. Shestakov
core   +1 more source

On the Arithmetic Exceptionality of Polynomial Mappings

, 2017
In this note we prove that certain polynomial mappings $P_\mathfrak{g}^k(\mathbf{x}) \in \mathbf{Z}[\mathbf{x}]$ in $n$-variables obtained from simple complex Lie algebras $\mathfrak{g}$ of arbitrary rank $n \ge 1$, are exceptional.Comment: 5 ...
Küçüksakallı, Ömer
core   +1 more source

Eisenstein Polynomials over Function Fields

, 2015
In this paper we compute the density of monic and non-monic Eisenstein polynomials of fixed degree having entries in an integrally closed subring of a function field over a finite ...
Dotti, Edoardo, Micheli, Giacomo
core   +1 more source

No bursts detected from FRB121102 in two 5-hour observing campaigns with the Robert C. Byrd Green Bank Telescope [PDF]

, 2018
Here, we report non-detection of radio bursts from Fast Radio Burst FRB 121102 during two 5-hour observation sessions on the Robert C. Byrd 100-m Green Bank Telescope in West Virginia, USA, on December 11, 2017, and January 12, 2018.
Croft, Steve, DeBoer, David, Gajjar, Vishal, Hallinan, Gregg, Hellbourg, Greg, Isaacson, Howard, Lebofsky, Matt, Lee, Kejia, Liu, Zhiyong, Lynch, Ryan, MacMahon, David H. E., Men, Yunpeng, Price, Danny C., Rosenthal, Lee, Siemion, Andrew, Xu, Yonghua   +15 more
core   +1 more source

Root multiplicities and number of nonzero coefficients of a polynomial

, 2005
It is known that the weight (that is, the number of nonzero coefficients) of a univariate polynomial over a field of characteristic zero is larger than the multiplicity of any of its nonzero roots.
Brindza B., Mattarei S., SANDRO MATTAREI
core   +3 more sources

Squares and difference sets in finite fields [PDF]

, 2013
For infinitely many primes p = 4k+1 we give a slightly improved upper bound for the maximal cardinality of a set B ⊂ Z p such that the difference set B−B contains only quadratic residues. Namely, instead of the ”trivial” bound |B| ≤ √p we prove |B √p
Bachoc, C., Matolcsi, Máté, Ruzsa, Z. Imre   +2 more
core  

On sets of irreducible polynomials closed by composition

, 2016
Let $\mathcal S$ be a set of monic degree $2$ polynomials over a finite field and let $C$ be the compositional semigroup generated by $\mathcal S$. In this paper we establish a necessary and sufficient condition for $C$ to be consisting entirely of ...
A Batra, A Batra, A Ostafe, D Gomez, GL Mullen, J ZurGathen von, O Ahmadi, R Barbulescu, R Jones, R Jones, R Lidl, S Gao, S Gao, V Shoup   +13 more
core   +1 more source

Counting irreducible binomials over finite fields

, 2015
We consider various counting questions for irreducible binomials over finite fields.
Heyman, Randell, Shparlinski, Igor E.
core   +1 more source