Remarks on the Middle Coefficient of the Cyclotomic Polynomial $\Phi_{3p_2p_3}$

2021 ◽  
Vol 33 (2) ◽  
Author(s):  
Ala'a Al-Kateeb ◽  
Jenan Shtayat
Keyword(s):  
Cyclotomic Polynomial

scholarly journals On the magnitude of the coefficients of the cyclotomic polynomial

1936 ◽  
Vol 42 (6) ◽  
pp. 389-393 ◽  
Author(s):  
Emma Lehmer
Keyword(s):  
Cyclotomic Polynomial

scholarly journals Some q-supercongruences modulo the fourth power of a cyclotomic polynomial

2021 ◽  
Vol 182 ◽  
pp. 105469
Author(s):  
Chuanan Wei
Keyword(s):  
Cyclotomic Polynomial ◽  
Fourth Power

scholarly journals The order of magnitude of the mth coefficients of cyclotomic polynomials

1985 ◽  
Vol 27 ◽  
pp. 143-159 ◽  
Author(s):  
H. L. Montgomery ◽  
R. C. Vaughan
Keyword(s):  
Cyclotomic Polynomial ◽  
Cyclotomic Polynomials ◽  
Order Of Magnitude ◽  
Euler’S Function ◽  
Image Position

We define the nth cyclotomic polynomial Φn(z) by the equationand we writewhere ϕ is Euler's function.Erdös and Vaughan [3] have shown thatuniformly in n as m-→∞, whereand that for every large m

scholarly journals On the coefficients of the cyclotomic polynomial

1946 ◽  
Vol 52 (2) ◽  
pp. 179-185 ◽  
Author(s):  
Paul Erdös
Keyword(s):  
Cyclotomic Polynomial

The Number of Terms in the Cyclotomic Polynomial F pq (x)

1966 ◽  
Vol 73 (9) ◽  
pp. 979 ◽  
Author(s):  
L. Carlitz
Keyword(s):  
Cyclotomic Polynomial

Magnitude of the coefficients of the cyclotomic polynomial $F\sb{pqr}$ , II

1971 ◽  
Vol 38 (3) ◽  
pp. 591-594 ◽  
Author(s):  
Marion Beiter
Keyword(s):  
Cyclotomic Polynomial

Note on the Cyclotomic Polynomial

1954 ◽  
Vol 61 (2) ◽  
pp. 106
Author(s):  
L. Carlitz
Keyword(s):  
Cyclotomic Polynomial

scholarly journals The cyclotomic polynomial topologically

2014 ◽  
Vol 2014 (687) ◽  
Author(s):  
Gregg Musiker ◽  
Victor Reiner
Keyword(s):  
Cyclotomic Polynomial ◽  
Simplicial Homology

Abstract.We interpret the coefficients of the cyclotomic polynomial in terms of simplicial homology.

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