Results 11 to 20 of about 622 (49)

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

The Herschel Planetary Nebula Survey (HerPlaNS) I. Data Overview and Analysis Demonstration with NGC 6781 [PDF]

, 2014
This is the first of a series of investigations into far-IR characteristics of 11 planetary nebulae (PNs) under the Herschel Space Observatory Open Time 1 program, Herschel Planetary Nebula Survey (HerPlaNS). Using the HerPlaNS data set, we look into the
Aleman, I., Balick, B., Behar, E., Blackman, E. G., Chu, Y. -H., De Marco, O., Exter, K. M., Hebden, K., Hora, J. L., Izumiura, H., Kastner, J. H., Ladjal, D., Lopez, J. A., McDonald, I., Montez, R., Murakawa, K., Nordhaus, J., Nordon, R., Otsuka, M., Ramstedt, S., Rattray, R. E., Sahai, R., Sandin, C., Siódmiak, N., Szczerba, R., Tielens, A. G. G. M., Ueta, T., van Hoof, P. A. M., Villaver, E., Vlemmings, W., Wittkowski, M., Yamamura, I, Zijlstra, A.   +32 more
core   +3 more sources

Exceptional planar polynomials [PDF]

, 2014
Planar functions are special functions from a finite field to itself that give rise to finite projective planes and other combinatorial objects. We consider polynomials over a finite field $K$ that induce planar functions on infinitely many extensions of
Caullery, Florian, Schmidt, Kai-Uwe, Zhou, Yue   +2 more
core   +1 more source

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

Normal bases and irreducible polynomials

, 2018
Let $\mathbb{F}_q$ denote the finite field of $q$ elements and $\mathbb{F}_{q^n}$ the degree $n$ extension of $\mathbb{F}_q$. A normal basis of $\mathbb{F}_{q^n}$ over $\mathbb{F} _q$ is a basis of the form $\{\alpha,\alpha^q,\dots,\alpha^{q^{n-1 ...
Cao, Wei, Han, Shanmeng, Huang, Hua
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

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

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 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