Zobrazeno 1 - 10
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pro vyhledávání: '"EVANS, RON"'
Publikováno v:
In Journal of Number Theory January 2025 266:33-61
For all $n > k \ge 1$, we give formulas for the nullity $N(n,k)$ of the $n \times n$ skew-symmetric Toeplitz band matrix whose first $k$ superdiagonals have all entries $1$ and whose remaining superdiagonals have all entries $0$. This is accomplished
Externí odkaz:
http://arxiv.org/abs/2002.02550
Akademický článek
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Autor:
Evans, Ron, Van Veen, Mark
Let $F$ be a field of $q$ elements, where $q$ is a power of an odd prime. Fix $n = (q+1)/2$. For each $s \in F$, we describe all the irreducible factors over $F$ of the polynomial $g_s(y): = y^n + (1-y)^n -s$, and we give a necessary and sufficient c
Externí odkaz:
http://arxiv.org/abs/1802.01739
Let $M_n(K)$ denote the algebra of $n \times n$ matrices over a field $K$ of characteristic zero. A nonunital subalgebra $N \subset M_n(K)$ will be called a nonunital intersection if $N$ is the intersection of two unital subalgebras of $M_n(K)$. Appe
Externí odkaz:
http://arxiv.org/abs/1704.02437
Autor:
Evans, Ron, Van Veen, Mark
Let n > 1 be an integer, and let F denote a field of p elements for a prime p = 1 (mod n). By 2015, the question of existence or nonexistence of n-th power residue difference sets in F had been settled for all n < 24. We settle the case n = 24 by pro
Externí odkaz:
http://arxiv.org/abs/1611.07646
Autor:
Evans, Ron, Greene, John
A conjecture connected with quantum physics led N. Katz to discover some amazing mixed character sum identities over a field of q elements, where q is a power of a prime p > 3. His proof required deep algebro-geometric techniques, and he expressed in
Externí odkaz:
http://arxiv.org/abs/1609.01429
Autor:
AGER, ANN-MAREE, Shipley, Jim, Nixon, Pat, McIntyre, Cherryl, Markussen, Arne, Okada, Akiko, Bernier, Tony Allen, Skinner, Dave, Luneborg, Alf Bjornar, Kemp, Steve, Orfanidi, Natalie, Dale, Michael, Croft, Jennifer, McNamara, Felicity, Banyai, Clay, Goulet, Rex, Guerrera, Silvia, Evans, Ron, Solome, Ralph
Publikováno v:
Leather Crafters & Saddlers Journal; Nov/Dec2024, Vol. 34 Issue 6, p23-33, 11p
Autor:
Evans, Ron, Greene, John
In 1984, the second author conjectured a quadratic transformation formula which relates two hypergeometric 2F1 functions over a finite field F_q. We prove this conjecture and give an application. The proof depends on a new linear transformation formu
Externí odkaz:
http://arxiv.org/abs/1511.00020