Results 81 to 90 of about 9,407 (175)

Sparse binary cyclotomic polynomials

open access: yesJournal of Number Theory, 2012
3 ...
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Definite orthogonal modular forms: computations, excursions, and discoveries. [PDF]

open access: yesRes Number Theory, 2022
Assaf E   +5 more
europepmc   +1 more source

On Partitions and Cyclotomic Polynomials

open access: yes, 2000
Let m denote a squarefree number. Let fm(n) denote the number of partitions of n into parts that are relatively prime to m. Let Φm(z) denote the m-th cyclotomic polynomial. We obtain a generating function for fm(n) that involves factors Φm(zn).
openaire   +2 more sources

Polynomial Form of Binary Cyclotomic Polynomials

open access: yes, 2018
This paper presents a closed form polynomial expression for the binary cyclotomic polynomial. We contrast this against expressions for binary cyclotomic polynomials in (Lam and Leung 1996) and (Lenstra 1979).
openaire   +2 more sources

On the cyclotomic polynomial

open access: yesJournal of Number Theory, 1983
This paper is divided into two parts. In the first part some of the author's previous results [J. Number Theory 16, 420--429 (1983; Zbl 0515.12004)] are generalized.
openaire   +1 more source

Revisiting dice relabeling using cyclotomic polynomials [PDF]

open access: yesEnumerative Combinatorics and Applications
Yikai Chao   +3 more
doaj   +1 more source

Unitary cyclotomic polynomials

open access: yes, 2020
The notion of block divisibility naturally leads one to introduce unitarycyclotomic polynomials. We formulate some basic properties of unitarycyclotomic polynomials and study how they are connected with cyclotomic,inclusion-exclusion and Kronecker polynomials. Further, we derive some relatedarithmetic function identities involving the unitary analog of
Moree, P. ; https://orcid.org/0000-0002-5318-2587   +1 more
openaire   +1 more source

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