Value distribution of cyclotomic polynomial coefficients (original) (raw)

Value distribution of coefficients of cyclotomic polynomials

Yves Gallot

2011

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The order of magnitude of the mth coefficients of cyclotomic polynomials

Hugh Montgomery

Glasgow Mathematical Journal, 1985

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On prime values of cyclotomic polynomials

Pantelis Damianou

International Mathematical Forum, 2011

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Large absolute values of cyclotomic polynomials at roots of unity

Lilit Martirosyan

Journal of Number Theory

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Cyclotomic Polynomials with Prescribed Height and Prime Number Theory

Alexandre Kosyak

Mathematika, 2021

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N ov 2 01 9 Coefficients of ( inverse ) unitary cyclotomic polynomials

P. Moree

2019

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ON THE DISTRIBUTION OF k-TH POWER FREE INTEGERS, II

Trinh Huu Quang Duy (K18 HL)

Osaka Journal of Mathematics, 2013

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The Lowest-Degree Polynomial with Nonnegative Coefficients Divisible by the nnn-th Cyclotomic Polynomial

John Steinberger

The Electronic Journal of Combinatorics, 2012

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Integer part independent polynomial averages and applications along primes

Dimitris Karageorgos

Studia Mathematica, 2019

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Cyclotomic coefficients: gaps and jumps

Oana Camburu

Journal of Number Theory, 2016

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On the Lq norm of cyclotomic Littlewood polynomials on the unit circle

Tamas Erdelyi

Mathematical Proceedings of the Cambridge Philosophical Society, 2011

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Coefficients of (inverse) unitary cyclotomic polynomials

Lilit Martirosyan

Kodai Mathematical Journal, 2020

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On the distribution of kkk-th power free integers

khanh duy

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Polynomials generalizing binomial coefficients and their application to the study of Fermat's last theorem

Francisco Thaine

Journal of Number Theory, 1982

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On mean values of Dirichlet polynomials

Glyn Harman

Archiv der Mathematik, 1991

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Introduction to Analytic and Probabilistic Number Theory

Gérald Tenenbaum

Graduate Studies in Mathematics, 2015

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Values of the Euler 𝜑-function not divisible by a given odd prime, and the distribution of Euler-Kronecker constants for cyclotomic fields

P. Moree

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Single polynomials that correspond to pairs of cyclotomic polynomials with interlacing zeros

James McKee

Central European Journal of Mathematics, 2013

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Calculating cyclotomic polynomials of very large height

Michael Monagan

2008

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A note on binomial coefficients and Chebyshev polynomials

Mauro Boscarol

1984

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On the Distribution of the -Euler Polynomials and the -Genocchi Polynomials of Higher Order

Leechae Jang

Journal of Inequalities and Applications, 2008

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Distribution of the values ofq-additive functions on polynomial sequences

Imre Katai

Acta Mathematica Hungarica, 1995

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Distribution of constant terms of irreducible polynomials in Zp[x]

Marcos Diaz Lopez

Notes on Number Theory and Discrete Mathematics, 2019

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An improvement of the Erdős–Turán theorem on the distribution of zeros of polynomials

Tamas Erdelyi

Comptes Rendus Mathematique, 2008

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Probabilistic Aspects of the Integer-Polynomial Analogy

Kent E Morrison

2004

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The family of ternary cyclotomic polynomials with one free prime

Yves Gallot

Involve, a Journal of Mathematics, 2011

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On the distribution of simple zeros of polynomials

H. Blatt

Journal of Approximation Theory, 1992

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An application of the method of Dirichlet generating series in the theory of distribution of values of arithmetic functions

Eugenijus Manstavičius

Lithuanian Mathematical Transactions, 1974

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Calculating cyclotomic polynomials

Michael Monagan

Mathematics of Computation, 2011

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ZEROS OF POLYNOMIALS WITH CYCLOTOMIC COEFFICIENTS

Kevin Hare

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Ternary cyclotomic polynomials having a large coefficient

P. Moree

Journal für die reine und angewandte Mathematik (Crelles Journal), 2009

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Distribution of values of bounded generalized polynomials

Alexander Leibman

Acta Mathematica, 2007

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Remarks on value distributions of general Dirichlet series (Functions in Number Theory and Their Probabilistic Aspects)

Trinh Huu Quang Duy (K18 HL)

2012

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Higher Mahler measure of cyclotomic polynomials and Lehmer’s question

Matilde Lalin

2011

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On some properties of Chebyshev polynomials

Hacene Belbachir

Discussiones Mathematicae - General Algebra and Applications, 2008

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