Results 91 to 100 of about 9,407 (175)

Resultants of cyclotomic polynomials

open access: yesRocky Mountain Journal of Mathematics, 2012
Let \(\Phi_k(x)\) denote the \(k\)th cyclotomic polynomial. Let \(f\) and \(g\) be polynomials of degree \(m\), respectively \(n\) with leading coefficient \(f_m\), respectively \(g_n\). The resultant of \(f\) and \(g\) is defined as \(f_m^n g_n^m\prod_{i,j}(\alpha_i-\beta_j),\) where \(\alpha_i, \beta_j\) runs over the roots of \(f\), respectively \(g\
openaire   +2 more sources

Coefficients of cyclotomic polynomials

open access: yes, 2009
Let $a(n, k)$ be the $k$-th coefficient of the $n$-th cyclotomic polynomial. Recently, Ji, Li and Moree \cite{JLM09} proved that for any integer $m\ge1$, $\{a(mn, k)| n, k\in\mathbb{N}\}=\mathbb{Z}$. In this paper, we improve this result and prove that for any integers $s>t\ge0$, $$\{a(ns+t, k)| n, k\in\mathbb{N}\}=\mathbb{Z}.$$
openaire   +2 more sources

Modularity of PGL2(𝔽p)-representations over totally real fields. [PDF]

open access: yesProc Natl Acad Sci U S A, 2021
Allen PB, Khare CB, Thorne JA.
europepmc   +1 more source

An Euler system for GU(2, 1). [PDF]

open access: yesMath Ann, 2022
Loeffler D, Skinner C, Zerbes SL.
europepmc   +1 more source

Cyclotomic polynomials at roots of unity [PDF]

open access: yes, 2018
Bzdega, B.   +2 more
core   +1 more source

NTRU-Like Random Congruential Public-Key Cryptosystem for Wireless Sensor Networks. [PDF]

open access: yesSensors (Basel), 2020
Ibrahim A   +5 more
europepmc   +1 more source

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