Results 71 to 80 of about 714,179 (209)

A note on some Picard curves over finite fields

open access: yes, 2015
In this note we provide a complete classification for the Newton polygon of the Picard curvesy3=x4-xandy3=x4-1 defined over a finite field of characteristic p>3. In fact, we complete the results obtained in [19].
Tafazolian, Saeed, Kazemifard, Ahmad
core   +1 more source

Graded quaternion symbol equivalence of function fields [PDF]

open access: yes, 2005
summary:We present criteria for a pair of maps to constitute a quaternion-symbol equivalence (or a Hilbert-symbol equivalence if we deal with global function fields) expressed in terms of vanishing of the Clifford invariant. In principle, we prove that a
Koprowski, Przemysław   +1 more
core   +1 more source

On the number of irreducible factors with a given multiplicity in function fields

open access: yes, 2023
The final publication is available at Elsevier via https://doi.org/10.1016/j.ffa.2023.102281. © 2023. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/Let k ≥ 1 be a natural ...
Kuo, Wentang   +7 more
core   +1 more source

On construction of correlation numbers in super minimal Liouville gravity in the Ramond sector

open access: yesJournal of High Energy Physics
We study the construction of correlation numbers in super minimal Liouville gravity. In particular, we construct the fundamental physical fields in the Ramond sector and compute the three-point correlation number involving two physical fields in the ...
V. Belavin, J. Ramos Cabezas, B. Runov
doaj   +1 more source

Determinant formulas for class numbers in function fields [PDF]

open access: yesMathematics of Computation, 2004
In this paper, by extending Kucera’s idea to the function field case, we obtain several determinant formulas involving the real class number and the relative class number of any subfield of cyclotomic function fields. We also provide several examples using these determinant formulas.
Jung, HY, Bae, SH Bae, Sung-Han, Ahn, JY
openaire   +2 more sources

On some differences between number fields and function fields

open access: yes, 2016
The analogy between the arithmetic of varieties over number fields and the arithmetic of varieties over function fields is a leading theme in arithmetic geometry. This analogy is very powerful but there are some gaps. In this note we will show how the presence of isotrivial varieties over function fields (the analogous of which do not seems to exist ...
openaire   +3 more sources

On Upper Bound of the Complexity of Quasi Polynomial Representations of Functions over Finite Fields

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2014
Representations of functions over finite fields, including polynomial representations, are being actively investigated. The complexity of such representations is one of main directions of research.
A.S. Baliuk
doaj  

Lower Bound of the Complexity of Seven-Valued Functions in the Class of Polarized Polynomials

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2017
One of the directions of the investigation of functions over finite fields is the study of their representations, including polynomial ones. In the area of polynomial representations of functions the problem of estimating the complexity of such ...
A.S. Baliuk, A.S. Zinchenko
doaj   +1 more source

Constructions of Dense Lattices of Full Diversity

open access: yesTrends in Computational and Applied Mathematics, 2020
A lattice construction using Z-submodules of rings of integers of number fields is presented. The construction yields rotated versions of the laminated lattices A_n for n = 2,3,4,5,6, which are the densest lattices in their respective dimensions.
A. A. Andrade   +3 more
doaj   +1 more source

The measurement of the effect on citation inequality of differences in citation practices across scientific fields. [PDF]

open access: yesPLoS ONE, 2013
This paper has two aims: (i) to introduce a novel method for measuring which part of overall citation inequality can be attributed to differences in citation practices across scientific fields, and (ii) to implement an empirical strategy for making ...
Juan A Crespo   +2 more
doaj   +1 more source

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