Sister Beiter and Kloosterman: a tale of cyclotomic coefficients and modular inverses (original) (raw)

Lehmer's semi-symmetric cyclotomic sums

Andrew Lazarus

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On prime values of cyclotomic polynomials

Pantelis Damianou

International Mathematical Forum, 2011

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On the coefficients of Jacobi sums in prime cyclotomic fields

Francisco Thaine

Transactions of the American Mathematical Society, 1999

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On the relation between units and Jacobi sums in prime cyclotomic fields

Francisco Thaine

Manuscripta Mathematica, 1991

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

P. Moree

2019

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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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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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Cyclotomic Polynomials with Prescribed Height and Prime Number Theory

Alexandre Kosyak

Mathematika, 2021

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Some Congruences of Kloosterman Sums and their Minimal Polynomials

Richard Moloney

Arxiv preprint arXiv:1012.0964, 2010

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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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Ternary cyclotomic polynomials having a large coefficient

P. Moree

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

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Coefficients of (inverse) unitary cyclotomic polynomials

Lilit Martirosyan

Kodai Mathematical Journal, 2020

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Large absolute values of cyclotomic polynomials at roots of unity

Lilit Martirosyan

Journal of Number Theory

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Upper Bounds for Cyclotomic Numbers

Tài Đức

arXiv (Cornell University), 2019

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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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Upper bounds on cyclotomic numbers

Mitsugu Hirasaka, Akihiro Munemasa

Linear Algebra and its Applications, 2013

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Jacobi sums and cyclotomic numbers: A survey report

Helal Ahmed

arXiv: Number Theory, 2019

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Higher Mahler measure of cyclotomic polynomials and Lehmer’s question

Matilde Lalin

2011

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Fekete polynomials, quadratic residues, and arithmetic

Ján Mináč

Journal of Number Theory

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Note on a polynomial of Emma Lehmer

Henri Darmon

Mathematics of Computation, 1991

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Cyclotomic coefficients: gaps and jumps

Oana Camburu

Journal of Number Theory, 2016

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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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Complements on Furtw\"angler's second theorem and Vandiver' s cyclotomic integers

Roland Queme

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(p - 1)th Roots of unity mod pn, generalized Heilbronn sums, Lind-Lehmer constants, and Fermat quotients

Christopher Pinner

Michigan Mathematical Journal, 2017

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Cyclotomic numbers of order 2l, l an odd prime

S A Katre

Acta Arithmetica

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On a congruence of Emma Lehmer related to Euler numbers

John Cosgrave

Acta Arithmetica, 2013

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Some Notes on the Signs of Kloosterman Sums (Analytic Number Theory : related Multiple aspects of Arithmetic Functions)

Wladimir Pribitkin

数理解析研究所講究録, 2012

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Higher Mahler measure for cyclotomic polynomials and Lehmer’s question

Matilde Lalin

The Ramanujan Journal, 2011

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Lehmer’s problem for polynomials with odd coefficients

Edward Dobrowolski

Annals of Mathematics, 2007

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On the Sums Running over Reduced Residue Classes Evaluated at Polynomial Arguments

Mehdi Hassani

Contemporary Mathematics

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Some remarks in elementary prime number theory

Raffaele Marcovecchio

arXiv (Cornell University), 2018

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Jacobi sums and cyclotomic numbers of order l 2

S A Katre

Acta Arithmetica, 2011

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Analysis of the classical cyclotomic approach to Fermat′s Last Theorem

Georges Gras

2011

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Iwasawa Main Conjecture for the Carlitz cyclotomic extension and applications

Francesc Bars

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The Cassels heights of cyclotomic integers

James McKee

Mathematische Zeitschrift

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