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pro vyhledávání: '"Bluher, A"'
Autor:
Bluher, Antonia W.
Publikováno v:
Finite Fields and Their Applications, Vol 86, February 2023
This article explains the similar appearance of two polynomial identities involving Dickson polynomials in char. 2, one found by Abhyankar, Cohen, and Zieve, and the other found by the author.
Comment: 4 pages
Comment: 4 pages
Externí odkaz:
http://arxiv.org/abs/2202.08929
Autor:
Bluher, Antonia W.
Publikováno v:
Expositiones Mathematicae, Vol. 40, Issue 1, March 2022, Pages 45-93
Let $G$ be a subgroup of ${\rm PGL}_2({\mathbb F}_q)$, where $q$ is any prime power, and let $Q \in {\mathbb F}_q[x]$ such that ${\mathbb F}_q(x)/{\mathbb F}_q(Q(x))$ is a Galois extension with group $G$. By explicitly computing the Artin map on unra
Externí odkaz:
http://arxiv.org/abs/1906.08944
Autor:
Bluher, Antonia W.
Publikováno v:
Finite Fields and Their Applications 68 (2020)
We present a new structure theorem for finite fields of odd order that relates multiplicative and additive structure in an interesting way. This theorem has several applications, including an improved understanding of Dickson and Chebyshev polynomial
Externí odkaz:
http://arxiv.org/abs/1905.13393
Autor:
Hila Zelicha, Nora Kloting, Alon Kaplan, Anat Yaskolka Meir, Ehud Rinott, Gal Tsaban, Yoash Chassidim, Matthias Bluher, Uta Ceglarek, Berend Isermann, Michael Stumvoll, Rita Nana Quayson, Martin von Bergen, Beatrice Engelmann, Ulrike E. Rolle-Kampczyk, Sven-Bastiaan Haange, Kieran M. Tuohy, Camilla Diotallevi, Ilan Shelef, Frank B. Hu, Meir J. Stampfer, Iris Shai
Publikováno v:
BMC Medicine, Vol 20, Iss 1, Pp 1-11 (2022)
Abstract Background Mediterranean (MED) diet is a rich source of polyphenols, which benefit adiposity by several mechanisms. We explored the effect of the green-MED diet, twice fortified in dietary polyphenols and lower in red/processed meat, on visc
Externí odkaz:
https://doaj.org/article/147102f6ace34dff93a29fa054846b47
Autor:
Bluher, Antonia W.
Publikováno v:
In Expositiones Mathematicae March 2022 40(1):45-93
Autor:
Bluher, Antonia W.
Publikováno v:
Finite Fields and Their Applications 76 (2021)
The $k$th Dickson polynomial of the first kind, $D_k(x) \in {\mathbb Z}[x]$, is determined by the formula: $D_k(u+1/u) = u^k + 1/u^k$, where $k \ge 0$ and $u$ is an indeterminate. These polynomials are closely related to Chebyshev polynomials and hav
Externí odkaz:
http://arxiv.org/abs/1707.06877
Autor:
Bluher, Antonia W.
Publikováno v:
Finite Fields and Their Applications 72 (2021), 101819
Wilson's Theorem states that the product of all nonzero elements of a finite field ${\mathbb F}_q$ is $-1$. In this article, we define some natural subsets $S \subset {\mathbb F}_q^\times$ and find formulas for the product of the elements of $S$, den
Externí odkaz:
http://arxiv.org/abs/1707.06870
Autor:
Bluher, Antonia W.
Publikováno v:
In Finite Fields and Their Applications December 2021 76
Autor:
Bluher, Antonia W.
Publikováno v:
Finite Fields and Their Applications 80 (June 2022)
A new polynomial identity is found for Dickson polynomials in characteristic 2. The identity is used to prove that the two polynomials $x^{q+1}+x+1/a$ and $C(x)+a$ have the same splitting field over $F$, where $F$ is a field of characteristic 2, $a$
Externí odkaz:
http://arxiv.org/abs/1610.05853
Autor:
Bluher, Antonia W.
We consider the following combinatorial question. Let $$ S_0 \subset S_1 \subset S_2 \subset ...\subset S_m $$ be nested sets, where #$(S_i) = i$. A move consists of altering one of the sets $S_i$, $1 \le i \le m-1$, in a manner so that the nested co
Externí odkaz:
http://arxiv.org/abs/1502.02625