Cover Image

Gaps in binary cyclotomic polynomials

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Cafure, Antonio, Cesaratto, Eda
Format:	Preprint
Published:	2025
Subjects:	Number Theory 11C08 11B83 68R15
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Binary Cyclotomic Polynomials: Representation via Words and Algorithms
by: Cafure, Antonio, et al.
Published: (2021)

Degenerate Sheffer-type polynomials and degenerate Sheffer polynomials associated with a random variable
by: Kim, Taekyun, et al.
Published: (2025)

The number system in rational base $3/2$ and the $3x+1$ problem
by: Eliahou, Shalom, et al.
Published: (2025)

Probabilistic degenerate Bernstein polynomials
by: Wang, Jinyu, et al.
Published: (2024)

Generalized cyclotomic polynomials associated with regular systems of divisors and arbitrary sets of positive integers
by: Tóth, László
Published: (2024)

On Gauss-Kraitchik formula for cyclotomic polynomials via symmetric functions
by: Yamada, Tomohiro
Published: (2024)

A Note on Heights of Cyclotomic Polynomials
by: Bachman, Gennady, et al.
Published: (2023)

On a polynomial involving quadratic residues modulo primes
by: Sun, Zhi-Wei
Published: (2026)

On (self-) reciprocal Appell polynomials: Symmetry and Faulhaber-type polynomials
by: Kellner, Bernd C.
Published: (2021)

The asymptotics for the number of real roots of the Bernoulli polynomials
by: Efimov, A.
Published: (2006)

On Carmichael and polygonal numbers, Bernoulli polynomials, and sums of base-$p$ digits
by: Kellner, Bernd C., et al.
Published: (2019)

On the finiteness of Bernoulli polynomials whose derivative has only integral coefficients
by: Kellner, Bernd C.
Published: (2023)

The Golden Sieve
by: Cloitre, Benoit
Published: (2026)

Galois groups of random integer polynomials and van der Waerden's Conjecture
by: Bhargava, Manjul
Published: (2021)

The Schur polynomials in all primitive $n$th roots of unity
by: Hidaka, Masaki, et al.
Published: (2024)

Degenerate Eulerian polynomials and numbers
by: Kim, Taekyun, et al.
Published: (2024)

Probabilistic generalization of Spivey-type relation for degenerate Bell polynomials
by: Kim, Taekyun, et al.
Published: (2025)

On Heights and Diameters of Ternary Cyclotomic and Inclusion-Exclusion Polynomials
by: Bachman, Gennady
Published: (2026)

Topology of univoque sets in double-base expansions
by: Komornik, Vilmos, et al.
Published: (2025)

The Thue-Morse Transform
by: Cloitre, Benoit
Published: (2026)

Probabilistic heterogeneous Stirling numbers and Bell polynomials
by: Kim, Taekyun, et al.
Published: (2026)

Probabilistic degenerate poly-Bell polynomials associated with random variables
by: Xue, Pengxiang, et al.
Published: (2025)

Representations by probabilistic Bernoulli and degenerate Bernoulli polynomials
by: Kim, Dae san, et al.
Published: (2025)

A probabilistic proof of a recurrence relation for sums of values of degenerate falling factorials
by: Kim, Taekyun, et al.
Published: (2024)

The denominators of power sums of arithmetic progressions
by: Kellner, Bernd C., et al.
Published: (2017)

Counting polynomials with positive roots
by: Yatsyna, Pavlo, et al.
Published: (2025)

Lower bounds for coefficients of certain cyclotomic polynomials
by: Borsanyi, Akos
Published: (2024)

Identities between polynomials related to Stirling and harmonic numbers
by: Kellner, Bernd C.
Published: (2012)

Irreducibility criteria for pairs of polynomials whose resultant is a prime number
by: Bonciocat, Nicolae Ciprian
Published: (2023)

Gaussian periods and Shanks' cubic polynomials. II
by: Aoki, Miho
Published: (2025)

A note on new type degenerate Srirling numbers of the first kind
by: Kim, Taekyun, et al.
Published: (2025)

Probabilistic Stirling numbers associated with sequences
by: Kim, Dae San, et al.
Published: (2025)

Harmonic Geometric Polynomials via Geometric Polynomials and Their Applications
by: Akkanat, Pınar, et al.
Published: (2025)

On the irreducibility of the non-cyclotomic part of most 0,1-polynomials with few terms
by: Filaseta, Michael, et al.
Published: (2025)

Logarithms and Stirling numbers associated with delta series
by: Kim, Dae san, et al.
Published: (2026)

Probabilistic multi-Stirling numbers of the second kind and probabilistic multi-Lah numbers
by: Kim, Taekyun, et al.
Published: (2024)

Irreducibility of polynomials with random multiplicative coefficients revisited
by: Klurman, Oleksiy, et al.
Published: (2025)

Generalization of Ramanujan's formula for sums of half-integer powers of consecutive integers via formal Bernoulli series
by: Alekseyev, Max A., et al.
Published: (2025)

Probabilistic degenerate logarithm and heterogeneous stirling numbers
by: Kim, Dae San, et al.
Published: (2026)

Asymptotic for the rightmost zeros of Bell and Eulerian polynomials
by: Durán, Antonio J.
Published: (2024)