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Smyth, Christopher J.

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Author ID: smyth.christopher-j Recent zbMATH articles by "Smyth, Christopher J."
Published as: Smyth, C. J.; Smyth, Chris; Smyth, Chris J.; Smyth, Christopher; Smyth, Christopher J.
Documents Indexed: 72 Publications since 1970, including 1 Book
all top 5

Serials

7 Mathematics of Computation
4 Acta Arithmetica
4 Bulletin of the London Mathematical Society
3 Journal de Théorie des Nombres de Bordeaux
3 Publications Mathématiques d’Orsay
2 American Mathematical Monthly
2 Canadian Mathematical Bulletin
2 Journal of Number Theory
2 Acta Mathematica Hungarica
2 International Journal of Number Theory
1 Acta Mathematica Academiae Scientiarum Hungaricae
1 Bulletin of the Australian Mathematical Society
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Periodica Mathematica Hungarica
1 Annales de l’Institut Fourier
1 Canadian Journal of Mathematics
1 Glasgow Mathematical Journal
1 Indiana University Mathematics Journal
1 Journal of Algebra
1 Journal of the London Mathematical Society. Second Series
1 Mathematika
1 Proceedings of the American Mathematical Society
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Theoretical Computer Science
1 Publicacions Matemàtiques
1 Forum Mathematicum
1 Journal of the Ramanujan Mathematical Society
1 IMRN. International Mathematics Research Notices
1 Journal of the Australian Mathematical Society. Series A
1 Linear Algebra and its Applications
1 Expositiones Mathematicae
1 Experimental Mathematics
1 The Ramanujan Journal
1 Journal of Integer Sequences
1 The Quarterly Journal of Mathematics
1 Integers
1 Journal of the Australian Mathematical Society
1 Central European Journal of Mathematics
1 London Mathematical Society Lecture Note Series
1 Journal of Combinatorics and Number Theory
1 Annales Academiae Scientiarum Fennicae. Series A I
1 Algebraic Combinatorics

Publications by Year

Citations contained in zbMATH

56 Publications have been cited 560 times in 352 Documents Cited by Year
On the product of the conjugates outside the unit circle of an algebraic integer. Zbl 0235.12003
Smyth, C. J.
76
1971
The Mahler measure of algebraic numbers: a survey. Zbl 1334.11081
Smyth, Chris
38
2008
The mean values of totally real algebraic integers. Zbl 0536.12006
Smyth, C. J.
34
1984
On measures of polynomials in several variables. Zbl 0442.10034
Smyth, C. J.
33
1981
Totally positive algebraic integers of small trace. Zbl 0534.12002
Smyth, Christopher J.
23
1984
Integer symmetric matrices having all their eigenvalues in the interval \([ - 2,2]\). Zbl 1140.15007
McKee, James; Smyth, Chris
20
2007
Cyclotomic points on curves. Zbl 1029.11009
Beukers, F.; Smyth, C. J.
19
2002
Salem numbers, Pisot numbers, Mahler measure, and graphs. Zbl 1082.11066
McKee, James; Smyth, Chris
18
2005
There are Salem numbers of every trace. Zbl 1166.11349
McKee, James; Smyth, Chris
16
2005
On the measure of totally real algebraic integers. Zbl 0457.12001
Smyth, C. J.
16
1980
Unimodularity of zeros of self-inversive polynomials. Zbl 1299.26037
Lalin, M. N.; Smyth, C. J.
14
2013
On the measure of totally real algebraic integers. II. Zbl 0475.12001
Smyth, C. J.
14
1981
Zeros of Ramanujan polynomials. Zbl 1238.11033
Murty, M. Ram; Smyth, Chris; Wang, Rob J.
13
2011
On the metric Mahler measure. Zbl 1030.11056
Dubickas, A.; Smyth, C. J.
13
2001
Seventy years of Salem numbers. Zbl 1321.11111
Smyth, Chris
12
2015
Salem numbers of trace \(-2\) and traces of totally positive algebraic integers. Zbl 1125.11347
McKee, James; Smyth, Chris
12
2004
The integer transfinite diameter of intervals and totally real algebraic integers. Zbl 0892.11033
Flammang, V.; Rhin, G.; Smyth, C. J.
12
1997
An explicit formule for the Mahler measure of a family of 3-variable polynomials. Zbl 1071.11018
Smyth, Chris J.
11
2002
A Kronecker-type theorem for complex polynomials in several variables. Zbl 0475.12002
Smyth, C. J.
11
1981
Additive and multiplicative relations connecting conjugate algebraic numbers. Zbl 0586.12001
Smyth, C. J.
10
1986
On metric heights. Zbl 1050.11089
Dubickas, A.; Smyth, C. J.
9
2003
On the absolute Mahler measure of polynomials having all zeros in a sector. Zbl 0820.11064
Rhin, Georges; Smyth, Christopher
9
1995
A coloring proof of a generalization of Fermat’s little theorem. Zbl 0602.10006
Smyth, C. J.
9
1986
Salem numbers of negative trace. Zbl 0988.11050
Smyth, C. J.
8
2000
Salem numbers and Pisot numbers from stars. Zbl 0931.11041
McKee, J. F.; Rowlinson, P.; Smyth, C. J.
8
1999
Integer symmetric matrices of small spectral radius and small Mahler measure. Zbl 1243.15020
McKee, James; Smyth, Chris
7
2012
Variations on the theme of Hilbert’s theorem 90. Zbl 1112.11308
Dubickas, A.; Smyth, C. J.
7
2002
Solving algebraic equations in roots of unity. Zbl 1297.11068
Aliev, Iskander; Smyth, Chris
6
2012
On the Remak height, the Mahler measure and conjugate sets of algebraic numbers lying on two circles. Zbl 0997.11087
Dubickas, A.; Smyth, C. J.
6
2001
Conjugate algebraic numbers on conics. Zbl 0431.12001
Smyth, C. J.
6
1982
Single polynomials that correspond to pairs of cyclotomic polynomials with interlacing zeros. Zbl 1272.11113
McKee, James; Smyth, Chris
5
2013
The terms in Lucas sequences divisible by their indices. Zbl 1210.11025
Smyth, Chris
5
2010
Ideal 9th-order multigrades and Letac’s elliptic curve. Zbl 0744.11015
Smyth, C. J.
5
1991
Some results on Newman polynomials. Zbl 0582.30002
Smyth, C. J.
5
1985
Salem numbers and Pisot numbers via interlacing. Zbl 1333.11097
Mckee, James; Smyth, Chris
4
2012
On the lines passing through two conjugates of a Salem number. Zbl 1166.11031
Dubickas, Artūras; Smyth, Chris
4
2008
The conjugate dimension of algebraic numbers. Zbl 1062.11064
Berry, Neil; Dubickas, Artūras; Elkies, Noam D.; Poonen, Bjorn; Smyth, Chris
4
2004
There are only eleven special Pisot numbers. Zbl 0931.11042
Smyth, C. J.
4
1999
An inequality for polynomials. Zbl 0935.11041
Smyth, C. J.
4
1999
On the constant in the Tarry-Escott problem. Zbl 0697.10016
Rees, Elmer; Smyth, Christopher
4
1990
The monic integer transfinite diameter. Zbl 1110.11010
Hare, K. G.; Smyth, C. J.
3
2006
Mahler measures of polynomials that are sums of a bounded number of monomials. Zbl 1384.11097
Dobrowolski, Edward; Smyth, Chris
2
2017
A degree problem for two algebraic numbers and their sum. Zbl 1297.11133
Drungilas, Paulius; Dubickas, Artūras; Smyth, Chris
2
2012
The divisibility of \(a^{n} - b^{n}\) by powers of \(n\). Zbl 1201.11008
Győry, Kálmán; Smyth, Chris
2
2010
Length of the sum and product of algebraic numbers. Zbl 1085.11051
Dubickas, A.; Smyth, C. J.
2
2005
The Lehmer constants of an annulus. Zbl 1030.11057
Dubickas, Artūras; Smyth, Chris J.
2
2001
Zero-mean cosine polynomials which are non-negative for as long as possible. Zbl 1032.42002
Gilbert, A. D.; Smyth, C. J.
2
2000
On the Mahler measure of the composition of two polynomials. Zbl 0868.11050
Rhin, G.; Smyth, C. J.
2
1997
Some inequalities for certain power sums. Zbl 0338.30001
Smyth, C. J.
2
1976
Symmetrizable matrices, quotients, and the trace problem. Zbl 1442.15016
McKee, James; Smyth, Chris
1
2020
Addendum to: Unimodularity of zeros of self-inversive polynomials. Zbl 1363.26022
Lalín, M. N.; Smyth, C. J.
1
2015
Index-dependent divisors of coefficients of modular forms. Zbl 1309.11035
Moriya, B. K.; Smyth, C. J.
1
2013
On a limiting fractal measure defined by conjugate algebraic integers. Zbl 0692.12002
Davie, A. M.; Smyth, C. J.
1
1989
Conjugate algebraic numbers on circles. Zbl 0282.12001
Ennola, Veikko; Smyth, C. J.
1
1976
Conjugate algebraic numbers on a circle. Zbl 0296.12005
Ennola, Veikko; Smyth, C. J.
1
1974
Inequalities relating different definitions of discrepancy. Zbl 0276.10032
Smyth, C. J.
1
1974
Symmetrizable matrices, quotients, and the trace problem. Zbl 1442.15016
McKee, James; Smyth, Chris
1
2020
Mahler measures of polynomials that are sums of a bounded number of monomials. Zbl 1384.11097
Dobrowolski, Edward; Smyth, Chris
2
2017
Seventy years of Salem numbers. Zbl 1321.11111
Smyth, Chris
12
2015
Addendum to: Unimodularity of zeros of self-inversive polynomials. Zbl 1363.26022
Lalín, M. N.; Smyth, C. J.
1
2015
Unimodularity of zeros of self-inversive polynomials. Zbl 1299.26037
Lalin, M. N.; Smyth, C. J.
14
2013
Single polynomials that correspond to pairs of cyclotomic polynomials with interlacing zeros. Zbl 1272.11113
McKee, James; Smyth, Chris
5
2013
Index-dependent divisors of coefficients of modular forms. Zbl 1309.11035
Moriya, B. K.; Smyth, C. J.
1
2013
Integer symmetric matrices of small spectral radius and small Mahler measure. Zbl 1243.15020
McKee, James; Smyth, Chris
7
2012
Solving algebraic equations in roots of unity. Zbl 1297.11068
Aliev, Iskander; Smyth, Chris
6
2012
Salem numbers and Pisot numbers via interlacing. Zbl 1333.11097
Mckee, James; Smyth, Chris
4
2012
A degree problem for two algebraic numbers and their sum. Zbl 1297.11133
Drungilas, Paulius; Dubickas, Artūras; Smyth, Chris
2
2012
Zeros of Ramanujan polynomials. Zbl 1238.11033
Murty, M. Ram; Smyth, Chris; Wang, Rob J.
13
2011
The terms in Lucas sequences divisible by their indices. Zbl 1210.11025
Smyth, Chris
5
2010
The divisibility of \(a^{n} - b^{n}\) by powers of \(n\). Zbl 1201.11008
Győry, Kálmán; Smyth, Chris
2
2010
The Mahler measure of algebraic numbers: a survey. Zbl 1334.11081
Smyth, Chris
38
2008
On the lines passing through two conjugates of a Salem number. Zbl 1166.11031
Dubickas, Artūras; Smyth, Chris
4
2008
Integer symmetric matrices having all their eigenvalues in the interval \([ - 2,2]\). Zbl 1140.15007
McKee, James; Smyth, Chris
20
2007
The monic integer transfinite diameter. Zbl 1110.11010
Hare, K. G.; Smyth, C. J.
3
2006
Salem numbers, Pisot numbers, Mahler measure, and graphs. Zbl 1082.11066
McKee, James; Smyth, Chris
18
2005
There are Salem numbers of every trace. Zbl 1166.11349
McKee, James; Smyth, Chris
16
2005
Length of the sum and product of algebraic numbers. Zbl 1085.11051
Dubickas, A.; Smyth, C. J.
2
2005
Salem numbers of trace \(-2\) and traces of totally positive algebraic integers. Zbl 1125.11347
McKee, James; Smyth, Chris
12
2004
The conjugate dimension of algebraic numbers. Zbl 1062.11064
Berry, Neil; Dubickas, Artūras; Elkies, Noam D.; Poonen, Bjorn; Smyth, Chris
4
2004
On metric heights. Zbl 1050.11089
Dubickas, A.; Smyth, C. J.
9
2003
Cyclotomic points on curves. Zbl 1029.11009
Beukers, F.; Smyth, C. J.
19
2002
An explicit formule for the Mahler measure of a family of 3-variable polynomials. Zbl 1071.11018
Smyth, Chris J.
11
2002
Variations on the theme of Hilbert’s theorem 90. Zbl 1112.11308
Dubickas, A.; Smyth, C. J.
7
2002
On the metric Mahler measure. Zbl 1030.11056
Dubickas, A.; Smyth, C. J.
13
2001
On the Remak height, the Mahler measure and conjugate sets of algebraic numbers lying on two circles. Zbl 0997.11087
Dubickas, A.; Smyth, C. J.
6
2001
The Lehmer constants of an annulus. Zbl 1030.11057
Dubickas, Artūras; Smyth, Chris J.
2
2001
Salem numbers of negative trace. Zbl 0988.11050
Smyth, C. J.
8
2000
Zero-mean cosine polynomials which are non-negative for as long as possible. Zbl 1032.42002
Gilbert, A. D.; Smyth, C. J.
2
2000
Salem numbers and Pisot numbers from stars. Zbl 0931.11041
McKee, J. F.; Rowlinson, P.; Smyth, C. J.
8
1999
There are only eleven special Pisot numbers. Zbl 0931.11042
Smyth, C. J.
4
1999
An inequality for polynomials. Zbl 0935.11041
Smyth, C. J.
4
1999
The integer transfinite diameter of intervals and totally real algebraic integers. Zbl 0892.11033
Flammang, V.; Rhin, G.; Smyth, C. J.
12
1997
On the Mahler measure of the composition of two polynomials. Zbl 0868.11050
Rhin, G.; Smyth, C. J.
2
1997
On the absolute Mahler measure of polynomials having all zeros in a sector. Zbl 0820.11064
Rhin, Georges; Smyth, Christopher
9
1995
Ideal 9th-order multigrades and Letac’s elliptic curve. Zbl 0744.11015
Smyth, C. J.
5
1991
On the constant in the Tarry-Escott problem. Zbl 0697.10016
Rees, Elmer; Smyth, Christopher
4
1990
On a limiting fractal measure defined by conjugate algebraic integers. Zbl 0692.12002
Davie, A. M.; Smyth, C. J.
1
1989
Additive and multiplicative relations connecting conjugate algebraic numbers. Zbl 0586.12001
Smyth, C. J.
10
1986
A coloring proof of a generalization of Fermat’s little theorem. Zbl 0602.10006
Smyth, C. J.
9
1986
Some results on Newman polynomials. Zbl 0582.30002
Smyth, C. J.
5
1985
The mean values of totally real algebraic integers. Zbl 0536.12006
Smyth, C. J.
34
1984
Totally positive algebraic integers of small trace. Zbl 0534.12002
Smyth, Christopher J.
23
1984
Conjugate algebraic numbers on conics. Zbl 0431.12001
Smyth, C. J.
6
1982
On measures of polynomials in several variables. Zbl 0442.10034
Smyth, C. J.
33
1981
On the measure of totally real algebraic integers. II. Zbl 0475.12001
Smyth, C. J.
14
1981
A Kronecker-type theorem for complex polynomials in several variables. Zbl 0475.12002
Smyth, C. J.
11
1981
On the measure of totally real algebraic integers. Zbl 0457.12001
Smyth, C. J.
16
1980
Some inequalities for certain power sums. Zbl 0338.30001
Smyth, C. J.
2
1976
Conjugate algebraic numbers on circles. Zbl 0282.12001
Ennola, Veikko; Smyth, C. J.
1
1976
Conjugate algebraic numbers on a circle. Zbl 0296.12005
Ennola, Veikko; Smyth, C. J.
1
1974
Inequalities relating different definitions of discrepancy. Zbl 0276.10032
Smyth, C. J.
1
1974
On the product of the conjugates outside the unit circle of an algebraic integer. Zbl 0235.12003
Smyth, C. J.
76
1971
all top 5

Cited by 345 Authors

25 Dubickas, Artūras
21 Smyth, Christopher J.
18 Flammang, Valérie
14 Lalín, Matilde N.
11 Rhin, Georges
11 Wu, Qiang
10 Samuels, Charles L.
8 McKee, James F.
8 Pritsker, Igor E.
8 Zannier, Umberto M.
7 Hare, Kevin G.
7 Jankauskas, Jonas
6 Borwein, Peter Benjamin
5 Amoroso, Francesco
5 Fili, Paul A.
5 Greaves, Gary
5 Sac-Epee, Jean-Marc
4 Andelić, Milica
4 Boyd, David William
4 Drungilas, Paulius
4 Everest, Graham Robert
4 Kwon, DoYong
4 Luca, Florian
4 Mossinghoff, Michael J.
4 Schmidt, Klaus
4 Shparlinski, Igor E.
4 Silverman, Joseph Hillel
4 Simić, Slobodan K.
4 Stanić, Zoran
4 Vaaler, Jeffrey D.
3 Brunotte, Horst
3 Dixit, Atul
3 Lind, Douglas A.
3 McMullen, Curtis Tracy
3 Pinner, Christopher G.
3 Rolen, Larry
3 Ward, Thomas B.
3 Yatsyna, Pavlo
3 Zaharescu, Alexandru
3 Zivkovic, Dejan
2 Akbari, Saieed
2 Akhtari, Shabnam
2 Akiyama, Shigeki
2 Belardo, Francesco
2 Calegari, Frank
2 Choi, Stephen Kwok-Kwong
2 da Fonseca, Carlos Martins
2 de la Peña, José Antonio
2 Diamantis, Nikolaos
2 Dikranjan, Dikran N.
2 Doche, Christophe
2 Dvornicich, Roberto
2 Erdélyi, Tamás
2 Filaseta, Michael A.
2 Giordano Bruno, Anna
2 Gon, Yasuro
2 Gross, Benedict Hyman
2 Gupta, Rajat
2 Hichri, Hachem
2 Hironaka, Eriko
2 Hou, Yaoping
2 Howe, Everett W.
2 Koolen, Jack H.
2 Kurokawa, Nobushige
2 Maji, Bibekananda
2 Masser, David William
2 Mastrostefano, Daniele
2 Matveev, E. M.
2 Miner, Zachary
2 Ostafe, Alina
2 Otmani, S. El
2 Oyanagi, Hideo
2 Pollicott, Mark
2 Rogers, Mathew D.
2 Samart, Detchat
2 Soundararajan, Kannan
2 Stan, Florin
2 Stankov, Dragan
2 Straub, Armin
2 Surer, Paul
2 Taylor, Graeme
2 Toledano, Ricardo
2 van der Kamp, Peter H.
2 Vandervelde, Sam
2 Verbitskiy, Evgeny A.
2 Verger-Gaugry, Jean-Louis
2 Wang, Dijian
2 Zaïmi, Toufik Mostepha
2 Zarelua, A. V.
1 Adamaszek, Michal
1 Adams, Henry
1 Aguirre Estibalez, Julián
1 Akatsuka, Hirotaka
1 Alba González, Juan José
1 Aliev, Iskander M.
1 Amoroso, Francesco A.
1 Arnol’d, Vladimir Igorevich
1 Aubry, Yves
1 Baake, Michael
1 Babei, Angelica
...and 245 more Authors
all top 5

Cited in 122 Serials

38 Journal of Number Theory
36 Mathematics of Computation
19 Journal de Théorie des Nombres de Bordeaux
12 Linear Algebra and its Applications
11 International Journal of Number Theory
10 Rocky Mountain Journal of Mathematics
9 Proceedings of the American Mathematical Society
7 Acta Mathematica Hungarica
6 Bulletin of the Australian Mathematical Society
6 Lithuanian Mathematical Journal
6 Experimental Mathematics
6 Research in Number Theory
5 Journal of Algebra
5 Monatshefte für Mathematik
4 Journal of Mathematical Analysis and Applications
4 Mathematical Notes
4 Acta Arithmetica
4 Advances in Mathematics
4 Illinois Journal of Mathematics
4 Journal für die Reine und Angewandte Mathematik
4 Transactions of the American Mathematical Society
4 Ergodic Theory and Dynamical Systems
4 The Ramanujan Journal
3 Discrete Mathematics
3 Annales de l’Institut Fourier
3 Bulletin of the London Mathematical Society
3 Mathematische Annalen
3 Expositiones Mathematicae
3 LMS Journal of Computation and Mathematics
2 American Mathematical Monthly
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Periodica Mathematica Hungarica
2 Bulletin de la Société Mathématique de France
2 Functiones et Approximatio. Commentarii Mathematici
2 Journal of Approximation Theory
2 Journal of Differential Equations
2 Mathematische Zeitschrift
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Proceedings of the Japan Academy. Series A
2 Journal of Symbolic Computation
2 International Journal of Mathematics
2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
2 Indagationes Mathematicae. New Series
2 Applicable Algebra in Engineering, Communication and Computing
2 St. Petersburg Mathematical Journal
2 Finite Fields and their Applications
2 Journal of the European Mathematical Society (JEMS)
2 Algebraic & Geometric Topology
2 Journal of the Australian Mathematical Society
2 Japanese Journal of Mathematics. 3rd Series
2 Research in the Mathematical Sciences
1 Communications in Algebra
1 Communications in Mathematical Physics
1 Discrete Applied Mathematics
1 Israel Journal of Mathematics
1 Journal d’Analyse Mathématique
1 Russian Mathematical Surveys
1 The Mathematical Intelligencer
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Applied Mathematics and Computation
1 Archiv der Mathematik
1 Colloquium Mathematicum
1 Compositio Mathematica
1 Duke Mathematical Journal
1 Geometriae Dedicata
1 Glasgow Mathematical Journal
1 Publications Mathématiques
1 Inventiones Mathematicae
1 Journal of Combinatorial Theory. Series B
1 Journal of the London Mathematical Society. Second Series
1 Journal of Pure and Applied Algebra
1 Mathematische Nachrichten
1 Mathematika
1 Nagoya Mathematical Journal
1 Osaka Journal of Mathematics
1 Results in Mathematics
1 Theoretical Computer Science
1 European Journal of Combinatorics
1 Advances in Applied Mathematics
1 Constructive Approximation
1 Discrete & Computational Geometry
1 Journal of the American Mathematical Society
1 Publicacions Matemàtiques
1 Forum Mathematicum
1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
1 Random Structures & Algorithms
1 The Annals of Applied Probability
1 Elemente der Mathematik
1 Proceedings of the National Academy of Sciences of the United States of America
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Bulletin of the American Mathematical Society. New Series
1 Mémoires de la Société Mathématique de France. Nouvelle Série
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Journal of Algebraic Combinatorics
1 Tatra Mountains Mathematical Publications
1 Journal of Mathematical Sciences (New York)
1 Discussiones Mathematicae. Graph Theory
1 Documenta Mathematica
1 Annales Academiae Scientiarum Fennicae. Mathematica
1 Transformation Groups
...and 22 more Serials

Citations by Year