A note on some Picard curves over finite fields
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
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Graded quaternion symbol equivalence of function fields [PDF]
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
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On the number of irreducible factors with a given multiplicity in function fields
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
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On construction of correlation numbers in super minimal Liouville gravity in the Ramond sector
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
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Determinant formulas for class numbers in function fields [PDF]
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
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On some differences between number fields and function fields
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 ...
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On Upper Bound of the Complexity of Quasi Polynomial Representations of Functions over Finite Fields
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
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
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Constructions of Dense Lattices of Full Diversity
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
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The measurement of the effect on citation inequality of differences in citation practices across scientific fields. [PDF]
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
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