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Gallardo, Luis Henri

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Author ID: gallardo.luis-h Recent zbMATH articles by "Gallardo, Luis Henri"
Published as: Gallardo, L. H.; Gallardo, Luis; Gallardo, Luis H.; Gallardo, Luis Henri
External Links: MGP · MathOverflow · ResearchGate · dblp
Documents Indexed: 69 Publications since 1983
Reviewing Activity: 79 Reviews
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Serials

7 Portugaliae Mathematica. Nova Série
5 Finite Fields and their Applications
4 Acta Arithmetica
4 Acta Mathematica Universitatis Comenianae. New Series
4 Applied Mathematics E-Notes
3 Rocky Mountain Journal of Mathematics
3 Functiones et Approximatio. Commentarii Mathematici
3 Mathematical Communications
2 Bulletin of the Korean Mathematical Society
2 The Electronic Journal of Combinatorics
2 International Electronic Journal of Algebra (IEJA)
2 Journal of Combinatorics and Number Theory
1 Beiträge zur Algebra und Geometrie
1 Glasgow Mathematical Journal
1 Journal of the London Mathematical Society. Second Series
1 Journal of Number Theory
1 Journal of Pure and Applied Algebra
1 Proceedings of the American Mathematical Society
1 Publicationes Mathematicae
1 Revista Colombiana de Matemáticas
1 Bulletin of the Greek Mathematical Society
1 Journal of Symbolic Computation
1 Publicacions Matemàtiques
1 Elemente der Mathematik
1 Linear Algebra and its Applications
1 Tatra Mountains Mathematical Publications
1 Journal de Théorie des Nombres de Bordeaux
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Journal of Integer Sequences
1 JP Journal of Algebra, Number Theory and Applications
1 International Journal of Pure and Applied Mathematics
1 International Journal of Contemporary Mathematical Sciences
1 International Journal of Algebra
1 Advances and Applications in Mathematical Sciences
1 Communications in Mathematics

Publications by Year

Citations contained in zbMATH Open

40 Publications have been cited 157 times in 56 Documents Cited by Year
Odd perfect polynomials over \(\mathbb F_2\). Zbl 1145.11081
Gallardo, Luis H.; Rahavandrainy, Olivier
12
2007
Sums of cubes of polynomials. Zbl 1062.11078
Car, Mireille; Gallardo, Luis
11
2004
There is no odd perfect polynomial over \(\mathbb F_{2}\) with four prime factors. Zbl 1193.11116
Gallardo, Luis H.; Rahavandrainy, Olivier
10
2009
Restricted addition in \(\mathbb Z/n\mathbb Z\) and an application to the Erdős-Ginzburg-Ziv problem. Zbl 1014.05065
Gallardo, Luis; Grekos, Georges; Habsieger, L.; Hennecart, F.; Landreau, B.; Plagne, A.
10
2002
The strict Waring problem for polynomial rings. Zbl 1220.11151
Gallardo, Luis H.; Vaserstein, Leonid N.
9
2008
Even perfect polynomials over \(\mathbb F_2\) with four prime factors. Zbl 1239.11142
Gallardo, Luis H.; Rahavandrainy, Olivier
8
2009
Perfect polynomials over \(\mathbb F_4\) with less than five prime factors. Zbl 1196.11160
Gallardo, Luis; Rahavandrainy, Olivier
7
2007
On perfect polynomials over \(\mathbb F_4\). Zbl 1131.11079
Gallardo, Luis; Rahavandrainy, Olivier
7
2005
On the restricted Waring problem over \(\mathbb{F}_{2^n}[t]\). Zbl 0948.11034
Gallardo, Luis
7
2000
On a conjecture of Beard, O’Connell and West concerning perfect polynomials. Zbl 1130.11070
Gallardo, Luis; Pollack, Paul; Rahavandrainy, Olivier
5
2008
Every sum of cubes in \(\mathbb F_2[t]\) is a strict sum of 6 cubes. Zbl 1172.11045
Gallardo, Luis H.; Heath-Brown, D. R.
5
2007
Waring’s problem for cubes and squares over a finite field of even characteristic. Zbl 1111.11059
Gallardo, Luis
5
2005
On a variant of the Erdős-Ginzburg-Ziv problem. Zbl 0929.11009
Gallardo, Luis; Grekos, Georges; Pihko, Jukka
5
1999
Characterization of sporadic perfect polynomials over \(\mathbb{F}_2\). Zbl 1407.11140
Gallardo, Luis H.; Rahavandrainy, Olivier
4
2016
On even (unitary) perfect polynomials over \(\mathbb F_2\). Zbl 1273.11175
Gallardo, Luis H.; Rahavandrainy, Olivier
4
2012
All perfect polynomials with up to four prime factors over \(\mathbb F_4\). Zbl 1239.11143
Gallardo, Luis H.; Rahavandrainy, Olivier
4
2009
On Brakemeier’s variant of the Erdős-Ginzburg-Ziv problem. Zbl 0999.11016
Gallardo, Luis; Grekos, Georges
4
2000
An \(F_{2^n}[t]\)-variant of Waring’s problem. Zbl 0922.11107
Gallardo, Luis
4
1998
On splitting perfect polynomials over \(\mathbb F_{p^p}\). Zbl 1254.11113
Gallardo, Luis H.; Rahavandrainy, Olivier
3
2011
On unitary splitting perfect polynomials over \(\mathbb F_{p^2}~\). Zbl 1219.11183
Gallardo, Luis H.; Rahavandrainy, Olivier
3
2010
Every strict sum of cubes in \(\mathbb F_4[t]\) is a strict sum of 6 cubes. Zbl 1239.11141
Gallardo, Luis H.
3
2008
Sums of biquadrates and cubes in \(\mathbb F_q[t]\). Zbl 1077.11070
Gallardo, Luis
3
2003
On the distribution of prime elements in polynomial Krull domains. Zbl 0511.13009
Costa, D.; Gallardo, Luis; Querré, Julien
3
1983
On Mersenne polynomials over \(\mathbb{F}_2\). Zbl 1459.11231
Gallardo, Luis H.; Rahavandrainy, Olivier
2
2019
About the period of Bell numbers modulo a prime. Zbl 1195.11034
Car, Mireille; Gallardo, Luis H.; Rahavandrainy, Olivier; Vaserstein, Leonid N.
2
2008
Waring’s problem for polynomial biquadrates over a finite field of odd characteristic. Zbl 1144.11084
Car, Mireille; Gallardo, Luis H.
2
2007
Solving quadratic equations over polynomial rings of characteristic two. Zbl 0915.13017
Cherly, Jørgen; Gallardo, Luis; Vaserstein, Leonid; Wheland, Ethel
2
1998
A polynomial variant of perfect numbers. Zbl 07261886
Gallardo, Luis H.; Rahavandrainy, Olivier
1
2020
Combinatorial properties of circulant Hadamard matrices. Zbl 1347.15038
Euler, Reinhardt; Gallardo, Luis H.; Rahavandrainy, Olivier
1
2016
New duality operator for complex circulant matrices and a conjecture of Ryser. Zbl 1416.15027
Gallardo, Luis H.
1
2016
On a special case of a conjecture of Ryser about Hadamard circulant matrices. Zbl 1321.15052
Gallardo, Luis
1
2012
Sufficient conditions for a conjecture of Ryser about Hadamard circulant matrices. Zbl 1297.11138
Euler, Reinhardt; Gallardo, Luis H.; Rahavandrainy, Olivier
1
2012
All unitary perfect polynomials over \(\mathbb F_2\) with at most four distinct irreducible factors. Zbl 1267.11119
Gallardo, Luis H.; Rahavandrainy, Olivier
1
2012
Unitary perfect polynomials over \(\mathbb {F}_4\) with less than five prime factors. Zbl 1238.11109
Gallardo, Luis H.; Rahavandrainy, Olivier
1
2011
On explicit formulae and linear recurrent sequences. Zbl 1255.11061
Euler, R.; Gallardo, L. H.
1
2011
On splitting perfect polynomials over \(\mathbb F_{p^2}\). Zbl 1209.11105
Gallardo, Luis H.; Rahavandrainy, Olivier
1
2009
Perfect polynomials over \(\mathbb F_3\). Zbl 1209.11104
Gallardo, Luis H.; Rahavandrainy, Olivier
1
2008
Representations of polynomials over finite fields of characteristic two as \(A^2+A+BC+D^3\). Zbl 1127.11079
Gallardo, Luis; Rahavandrainy, Olivier; Vaserstein, Leonid
1
2007
Factors of small degree of some difference polynomials \(f(x)-g(t)\) in \(F[t][x]\). Zbl 1102.11068
Berrondo, François; Gallardo, Luis
1
2005
Waring’s problem for polynomial cubes and squares over a finite field with odd characteristic. Zbl 1048.11099
Gallardo, Luis
1
2004
A polynomial variant of perfect numbers. Zbl 07261886
Gallardo, Luis H.; Rahavandrainy, Olivier
1
2020
On Mersenne polynomials over \(\mathbb{F}_2\). Zbl 1459.11231
Gallardo, Luis H.; Rahavandrainy, Olivier
2
2019
Characterization of sporadic perfect polynomials over \(\mathbb{F}_2\). Zbl 1407.11140
Gallardo, Luis H.; Rahavandrainy, Olivier
4
2016
Combinatorial properties of circulant Hadamard matrices. Zbl 1347.15038
Euler, Reinhardt; Gallardo, Luis H.; Rahavandrainy, Olivier
1
2016
New duality operator for complex circulant matrices and a conjecture of Ryser. Zbl 1416.15027
Gallardo, Luis H.
1
2016
On even (unitary) perfect polynomials over \(\mathbb F_2\). Zbl 1273.11175
Gallardo, Luis H.; Rahavandrainy, Olivier
4
2012
On a special case of a conjecture of Ryser about Hadamard circulant matrices. Zbl 1321.15052
Gallardo, Luis
1
2012
Sufficient conditions for a conjecture of Ryser about Hadamard circulant matrices. Zbl 1297.11138
Euler, Reinhardt; Gallardo, Luis H.; Rahavandrainy, Olivier
1
2012
All unitary perfect polynomials over \(\mathbb F_2\) with at most four distinct irreducible factors. Zbl 1267.11119
Gallardo, Luis H.; Rahavandrainy, Olivier
1
2012
On splitting perfect polynomials over \(\mathbb F_{p^p}\). Zbl 1254.11113
Gallardo, Luis H.; Rahavandrainy, Olivier
3
2011
Unitary perfect polynomials over \(\mathbb {F}_4\) with less than five prime factors. Zbl 1238.11109
Gallardo, Luis H.; Rahavandrainy, Olivier
1
2011
On explicit formulae and linear recurrent sequences. Zbl 1255.11061
Euler, R.; Gallardo, L. H.
1
2011
On unitary splitting perfect polynomials over \(\mathbb F_{p^2}~\). Zbl 1219.11183
Gallardo, Luis H.; Rahavandrainy, Olivier
3
2010
There is no odd perfect polynomial over \(\mathbb F_{2}\) with four prime factors. Zbl 1193.11116
Gallardo, Luis H.; Rahavandrainy, Olivier
10
2009
Even perfect polynomials over \(\mathbb F_2\) with four prime factors. Zbl 1239.11142
Gallardo, Luis H.; Rahavandrainy, Olivier
8
2009
All perfect polynomials with up to four prime factors over \(\mathbb F_4\). Zbl 1239.11143
Gallardo, Luis H.; Rahavandrainy, Olivier
4
2009
On splitting perfect polynomials over \(\mathbb F_{p^2}\). Zbl 1209.11105
Gallardo, Luis H.; Rahavandrainy, Olivier
1
2009
The strict Waring problem for polynomial rings. Zbl 1220.11151
Gallardo, Luis H.; Vaserstein, Leonid N.
9
2008
On a conjecture of Beard, O’Connell and West concerning perfect polynomials. Zbl 1130.11070
Gallardo, Luis; Pollack, Paul; Rahavandrainy, Olivier
5
2008
Every strict sum of cubes in \(\mathbb F_4[t]\) is a strict sum of 6 cubes. Zbl 1239.11141
Gallardo, Luis H.
3
2008
About the period of Bell numbers modulo a prime. Zbl 1195.11034
Car, Mireille; Gallardo, Luis H.; Rahavandrainy, Olivier; Vaserstein, Leonid N.
2
2008
Perfect polynomials over \(\mathbb F_3\). Zbl 1209.11104
Gallardo, Luis H.; Rahavandrainy, Olivier
1
2008
Odd perfect polynomials over \(\mathbb F_2\). Zbl 1145.11081
Gallardo, Luis H.; Rahavandrainy, Olivier
12
2007
Perfect polynomials over \(\mathbb F_4\) with less than five prime factors. Zbl 1196.11160
Gallardo, Luis; Rahavandrainy, Olivier
7
2007
Every sum of cubes in \(\mathbb F_2[t]\) is a strict sum of 6 cubes. Zbl 1172.11045
Gallardo, Luis H.; Heath-Brown, D. R.
5
2007
Waring’s problem for polynomial biquadrates over a finite field of odd characteristic. Zbl 1144.11084
Car, Mireille; Gallardo, Luis H.
2
2007
Representations of polynomials over finite fields of characteristic two as \(A^2+A+BC+D^3\). Zbl 1127.11079
Gallardo, Luis; Rahavandrainy, Olivier; Vaserstein, Leonid
1
2007
On perfect polynomials over \(\mathbb F_4\). Zbl 1131.11079
Gallardo, Luis; Rahavandrainy, Olivier
7
2005
Waring’s problem for cubes and squares over a finite field of even characteristic. Zbl 1111.11059
Gallardo, Luis
5
2005
Factors of small degree of some difference polynomials \(f(x)-g(t)\) in \(F[t][x]\). Zbl 1102.11068
Berrondo, François; Gallardo, Luis
1
2005
Sums of cubes of polynomials. Zbl 1062.11078
Car, Mireille; Gallardo, Luis
11
2004
Waring’s problem for polynomial cubes and squares over a finite field with odd characteristic. Zbl 1048.11099
Gallardo, Luis
1
2004
Sums of biquadrates and cubes in \(\mathbb F_q[t]\). Zbl 1077.11070
Gallardo, Luis
3
2003
Restricted addition in \(\mathbb Z/n\mathbb Z\) and an application to the Erdős-Ginzburg-Ziv problem. Zbl 1014.05065
Gallardo, Luis; Grekos, Georges; Habsieger, L.; Hennecart, F.; Landreau, B.; Plagne, A.
10
2002
On the restricted Waring problem over \(\mathbb{F}_{2^n}[t]\). Zbl 0948.11034
Gallardo, Luis
7
2000
On Brakemeier’s variant of the Erdős-Ginzburg-Ziv problem. Zbl 0999.11016
Gallardo, Luis; Grekos, Georges
4
2000
On a variant of the Erdős-Ginzburg-Ziv problem. Zbl 0929.11009
Gallardo, Luis; Grekos, Georges; Pihko, Jukka
5
1999
An \(F_{2^n}[t]\)-variant of Waring’s problem. Zbl 0922.11107
Gallardo, Luis
4
1998
Solving quadratic equations over polynomial rings of characteristic two. Zbl 0915.13017
Cherly, Jørgen; Gallardo, Luis; Vaserstein, Leonid; Wheland, Ethel
2
1998
On the distribution of prime elements in polynomial Krull domains. Zbl 0511.13009
Costa, D.; Gallardo, Luis; Querré, Julien
3
1983

Citations by Year