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## Gallardo, Luis Henri

Compute Distance To:
 Author ID: gallardo.luis-h 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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#### Co-Authors

 20 single-authored 28 Rahavandrainy, Olivier 8 Vaserstein, Leonid N. 6 Car, Mireille 4 Euler, Reinhardt 3 Grekos, Georges 2 Wheland, Ethel 1 Baird, Paul 1 Berrondo, Francois 1 Cherly, Jørgen 1 Costa, Douglas L. 1 Habsieger, Laurent 1 Heath-Brown, Roger 1 Hennecart, François 1 Landreau, Bernard 1 Luca, Florian 1 Pihko, Jukka 1 Plagne, Alain 1 Pollack, Paul 1 Querré, Julien
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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
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#### Fields

 63 Number theory (11-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 4 Field theory and polynomials (12-XX) 2 Combinatorics (05-XX) 2 Commutative algebra (13-XX) 2 Functions of a complex variable (30-XX) 1 Group theory and generalizations (20-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX)

#### 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
2007
Sums of cubes of polynomials. Zbl 1062.11078
Car, Mireille; Gallardo, Luis
2004
There is no odd perfect polynomial over $$\mathbb F_{2}$$ with four prime factors. Zbl 1193.11116
Gallardo, Luis H.; Rahavandrainy, Olivier
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.
2002
The strict Waring problem for polynomial rings. Zbl 1220.11151
Gallardo, Luis H.; Vaserstein, Leonid N.
2008
Even perfect polynomials over $$\mathbb F_2$$ with four prime factors. Zbl 1239.11142
Gallardo, Luis H.; Rahavandrainy, Olivier
2009
Perfect polynomials over $$\mathbb F_4$$ with less than five prime factors. Zbl 1196.11160
Gallardo, Luis; Rahavandrainy, Olivier
2007
On perfect polynomials over $$\mathbb F_4$$. Zbl 1131.11079
Gallardo, Luis; Rahavandrainy, Olivier
2005
On the restricted Waring problem over $$\mathbb{F}_{2^n}[t]$$. Zbl 0948.11034
Gallardo, Luis
2000
On a conjecture of Beard, O’Connell and West concerning perfect polynomials. Zbl 1130.11070
Gallardo, Luis; Pollack, Paul; Rahavandrainy, Olivier
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.
2007
Waring’s problem for cubes and squares over a finite field of even characteristic. Zbl 1111.11059
Gallardo, Luis
2005
On a variant of the Erdős-Ginzburg-Ziv problem. Zbl 0929.11009
Gallardo, Luis; Grekos, Georges; Pihko, Jukka
1999
Characterization of sporadic perfect polynomials over $$\mathbb{F}_2$$. Zbl 1407.11140
Gallardo, Luis H.; Rahavandrainy, Olivier
2016
On even (unitary) perfect polynomials over $$\mathbb F_2$$. Zbl 1273.11175
Gallardo, Luis H.; Rahavandrainy, Olivier
2012
All perfect polynomials with up to four prime factors over $$\mathbb F_4$$. Zbl 1239.11143
Gallardo, Luis H.; Rahavandrainy, Olivier
2009
On Brakemeier’s variant of the Erdős-Ginzburg-Ziv problem. Zbl 0999.11016
Gallardo, Luis; Grekos, Georges
2000
An $$F_{2^n}[t]$$-variant of Waring’s problem. Zbl 0922.11107
Gallardo, Luis
1998
On splitting perfect polynomials over $$\mathbb F_{p^p}$$. Zbl 1254.11113
Gallardo, Luis H.; Rahavandrainy, Olivier
2011
On unitary splitting perfect polynomials over $$\mathbb F_{p^2}~$$. Zbl 1219.11183
Gallardo, Luis H.; Rahavandrainy, Olivier
2010
Every strict sum of cubes in $$\mathbb F_4[t]$$ is a strict sum of 6 cubes. Zbl 1239.11141
Gallardo, Luis H.
2008
Sums of biquadrates and cubes in $$\mathbb F_q[t]$$. Zbl 1077.11070
Gallardo, Luis
2003
On the distribution of prime elements in polynomial Krull domains. Zbl 0511.13009
Costa, D.; Gallardo, Luis; Querré, Julien
1983
On Mersenne polynomials over $$\mathbb{F}_2$$. Zbl 1459.11231
Gallardo, Luis H.; Rahavandrainy, Olivier
2019
About the period of Bell numbers modulo a prime. Zbl 1195.11034
Car, Mireille; Gallardo, Luis H.; Rahavandrainy, Olivier; Vaserstein, Leonid N.
2008
Waring’s problem for polynomial biquadrates over a finite field of odd characteristic. Zbl 1144.11084
Car, Mireille; Gallardo, Luis H.
2007
Solving quadratic equations over polynomial rings of characteristic two. Zbl 0915.13017
Cherly, Jørgen; Gallardo, Luis; Vaserstein, Leonid; Wheland, Ethel
1998
A polynomial variant of perfect numbers. Zbl 07261886
Gallardo, Luis H.; Rahavandrainy, Olivier
2020
Combinatorial properties of circulant Hadamard matrices. Zbl 1347.15038
Euler, Reinhardt; Gallardo, Luis H.; Rahavandrainy, Olivier
2016
New duality operator for complex circulant matrices and a conjecture of Ryser. Zbl 1416.15027
Gallardo, Luis H.
2016
On a special case of a conjecture of Ryser about Hadamard circulant matrices. Zbl 1321.15052
Gallardo, Luis
2012
Sufficient conditions for a conjecture of Ryser about Hadamard circulant matrices. Zbl 1297.11138
Euler, Reinhardt; Gallardo, Luis H.; Rahavandrainy, Olivier
2012
All unitary perfect polynomials over $$\mathbb F_2$$ with at most four distinct irreducible factors. Zbl 1267.11119
Gallardo, Luis H.; Rahavandrainy, Olivier
2012
Unitary perfect polynomials over $$\mathbb {F}_4$$ with less than five prime factors. Zbl 1238.11109
Gallardo, Luis H.; Rahavandrainy, Olivier
2011
On explicit formulae and linear recurrent sequences. Zbl 1255.11061
Euler, R.; Gallardo, L. H.
2011
On splitting perfect polynomials over $$\mathbb F_{p^2}$$. Zbl 1209.11105
Gallardo, Luis H.; Rahavandrainy, Olivier
2009
Perfect polynomials over $$\mathbb F_3$$. Zbl 1209.11104
Gallardo, Luis H.; Rahavandrainy, Olivier
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
2007
Factors of small degree of some difference polynomials $$f(x)-g(t)$$ in $$F[t][x]$$. Zbl 1102.11068
Berrondo, François; Gallardo, Luis
2005
Waring’s problem for polynomial cubes and squares over a finite field with odd characteristic. Zbl 1048.11099
Gallardo, Luis
2004
A polynomial variant of perfect numbers. Zbl 07261886
Gallardo, Luis H.; Rahavandrainy, Olivier
2020
On Mersenne polynomials over $$\mathbb{F}_2$$. Zbl 1459.11231
Gallardo, Luis H.; Rahavandrainy, Olivier
2019
Characterization of sporadic perfect polynomials over $$\mathbb{F}_2$$. Zbl 1407.11140
Gallardo, Luis H.; Rahavandrainy, Olivier
2016
Combinatorial properties of circulant Hadamard matrices. Zbl 1347.15038
Euler, Reinhardt; Gallardo, Luis H.; Rahavandrainy, Olivier
2016
New duality operator for complex circulant matrices and a conjecture of Ryser. Zbl 1416.15027
Gallardo, Luis H.
2016
On even (unitary) perfect polynomials over $$\mathbb F_2$$. Zbl 1273.11175
Gallardo, Luis H.; Rahavandrainy, Olivier
2012
On a special case of a conjecture of Ryser about Hadamard circulant matrices. Zbl 1321.15052
Gallardo, Luis
2012
Sufficient conditions for a conjecture of Ryser about Hadamard circulant matrices. Zbl 1297.11138
Euler, Reinhardt; Gallardo, Luis H.; Rahavandrainy, Olivier
2012
All unitary perfect polynomials over $$\mathbb F_2$$ with at most four distinct irreducible factors. Zbl 1267.11119
Gallardo, Luis H.; Rahavandrainy, Olivier
2012
On splitting perfect polynomials over $$\mathbb F_{p^p}$$. Zbl 1254.11113
Gallardo, Luis H.; Rahavandrainy, Olivier
2011
Unitary perfect polynomials over $$\mathbb {F}_4$$ with less than five prime factors. Zbl 1238.11109
Gallardo, Luis H.; Rahavandrainy, Olivier
2011
On explicit formulae and linear recurrent sequences. Zbl 1255.11061
Euler, R.; Gallardo, L. H.
2011
On unitary splitting perfect polynomials over $$\mathbb F_{p^2}~$$. Zbl 1219.11183
Gallardo, Luis H.; Rahavandrainy, Olivier
2010
There is no odd perfect polynomial over $$\mathbb F_{2}$$ with four prime factors. Zbl 1193.11116
Gallardo, Luis H.; Rahavandrainy, Olivier
2009
Even perfect polynomials over $$\mathbb F_2$$ with four prime factors. Zbl 1239.11142
Gallardo, Luis H.; Rahavandrainy, Olivier
2009
All perfect polynomials with up to four prime factors over $$\mathbb F_4$$. Zbl 1239.11143
Gallardo, Luis H.; Rahavandrainy, Olivier
2009
On splitting perfect polynomials over $$\mathbb F_{p^2}$$. Zbl 1209.11105
Gallardo, Luis H.; Rahavandrainy, Olivier
2009
The strict Waring problem for polynomial rings. Zbl 1220.11151
Gallardo, Luis H.; Vaserstein, Leonid N.
2008
On a conjecture of Beard, O’Connell and West concerning perfect polynomials. Zbl 1130.11070
Gallardo, Luis; Pollack, Paul; Rahavandrainy, Olivier
2008
Every strict sum of cubes in $$\mathbb F_4[t]$$ is a strict sum of 6 cubes. Zbl 1239.11141
Gallardo, Luis H.
2008
About the period of Bell numbers modulo a prime. Zbl 1195.11034
Car, Mireille; Gallardo, Luis H.; Rahavandrainy, Olivier; Vaserstein, Leonid N.
2008
Perfect polynomials over $$\mathbb F_3$$. Zbl 1209.11104
Gallardo, Luis H.; Rahavandrainy, Olivier
2008
Odd perfect polynomials over $$\mathbb F_2$$. Zbl 1145.11081
Gallardo, Luis H.; Rahavandrainy, Olivier
2007
Perfect polynomials over $$\mathbb F_4$$ with less than five prime factors. Zbl 1196.11160
Gallardo, Luis; Rahavandrainy, Olivier
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.
2007
Waring’s problem for polynomial biquadrates over a finite field of odd characteristic. Zbl 1144.11084
Car, Mireille; Gallardo, Luis H.
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
2007
On perfect polynomials over $$\mathbb F_4$$. Zbl 1131.11079
Gallardo, Luis; Rahavandrainy, Olivier
2005
Waring’s problem for cubes and squares over a finite field of even characteristic. Zbl 1111.11059
Gallardo, Luis
2005
Factors of small degree of some difference polynomials $$f(x)-g(t)$$ in $$F[t][x]$$. Zbl 1102.11068
Berrondo, François; Gallardo, Luis
2005
Sums of cubes of polynomials. Zbl 1062.11078
Car, Mireille; Gallardo, Luis
2004
Waring’s problem for polynomial cubes and squares over a finite field with odd characteristic. Zbl 1048.11099
Gallardo, Luis
2004
Sums of biquadrates and cubes in $$\mathbb F_q[t]$$. Zbl 1077.11070
Gallardo, Luis
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.
2002
On the restricted Waring problem over $$\mathbb{F}_{2^n}[t]$$. Zbl 0948.11034
Gallardo, Luis
2000
On Brakemeier’s variant of the Erdős-Ginzburg-Ziv problem. Zbl 0999.11016
Gallardo, Luis; Grekos, Georges
2000
On a variant of the Erdős-Ginzburg-Ziv problem. Zbl 0929.11009
Gallardo, Luis; Grekos, Georges; Pihko, Jukka
1999
An $$F_{2^n}[t]$$-variant of Waring’s problem. Zbl 0922.11107
Gallardo, Luis
1998
Solving quadratic equations over polynomial rings of characteristic two. Zbl 0915.13017
Cherly, Jørgen; Gallardo, Luis; Vaserstein, Leonid; Wheland, Ethel
1998
On the distribution of prime elements in polynomial Krull domains. Zbl 0511.13009
Costa, D.; Gallardo, Luis; Querré, Julien
1983
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#### Cited by 60 Authors

 23 Gallardo, Luis Henri 14 Rahavandrainy, Olivier 6 Car, Mireille 3 Gao, Weidong 3 Vaserstein, Leonid N. 2 Bajnok, Béla 2 Fröberg, Ralf 2 Hamidoune, Yahya Ould 2 Liu, Yu-Ru 2 Plagne, Alain 2 Pollack, Paul 2 Shapiro, Boris Zalmanovich 2 Wooley, Trevor D. 1 Anderson, Daniel D. 1 Anderson, David Fenimore 1 Bodin, Arnaud 1 Cengiz, U. Caner 1 Chang, Gyu Whan 1 Chinburg, Ted 1 Euler, Reinhardt 1 Evert, Eric 1 Geroldinger, Alfred 1 Girard, Benjamin 1 Griffiths, Simon 1 Grynkiewicz, David J. 1 Guo, Shuguang 1 Heath-Brown, Roger 1 Hegyvári, Norbert 1 Helton, John William 1 Hennecart, François 1 Herzog, Jürgen 1 Huang, Shiyuan 1 Hungerbuhler, Norbert 1 Kulkarni, Manisha V. 1 Larsen, Michael L. 1 Lev, Vsevolod F. 1 López, Susana-Clara 1 Luca, Florian 1 Lundqvist, Samuel 1 Montgomery, Peter L. 1 Müller, Peter 1 Nahm, Sangil 1 Nguyen Ngoc Dong Quan 1 Nie, Jiawang 1 Oneto, Alessandro 1 Ordaz, Oscar 1 Ottaviani, Giorgio Maria 1 Panigrahi, Anupama 1 Popovych, Roman B. 1 Quiroz, Domingo 1 Sury, Balasubramanian 1 Tang, Min 1 Thangadurai, Ravindranathan 1 Treviño, Enrique 1 Vasconcelos, Wolmer V. 1 Wagstaff, Samuel S. jun. 1 Wang, Chao 1 Wei, Meng-Ting 1 Xia, Xingwu 1 Zhang, Xiaoyan
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#### Cited in 33 Serials

 7 Portugaliae Mathematica. Nova Série 6 Finite Fields and their Applications 5 Functiones et Approximatio. Commentarii Mathematici 3 Journal of Algebra 3 Combinatorics, Probability and Computing 2 Discrete Mathematics 2 Rocky Mountain Journal of Mathematics 2 Journal für die Reine und Angewandte Mathematik 2 European Journal of Combinatorics 1 Mathematische Semesterberichte 1 Mathematics of Computation 1 Annales de l’Institut Fourier 1 Glasgow Mathematical Journal 1 Journal of Number Theory 1 Numerical Functional Analysis and Optimization 1 Proceedings of the American Mathematical Society 1 Topology and its Applications 1 Acta Mathematica Hungarica 1 Journal of Symbolic Computation 1 Proceedings of the National Academy of Sciences of the United States of America 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Expositiones Mathematicae 1 Indagationes Mathematicae. New Series 1 Journal de Théorie des Nombres de Bordeaux 1 Journal of Mathematical Sciences (New York) 1 Complexity 1 Journal of Integer Sequences 1 Applied Mathematics E-Notes 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 International Journal of Number Theory 1 International Electronic Journal of Algebra (IEJA) 1 Communications in Mathematics 1 Arnold Mathematical Journal
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#### Cited in 10 Fields

 49 Number theory (11-XX) 8 Group theory and generalizations (20-XX) 5 Combinatorics (05-XX) 5 Commutative algebra (13-XX) 3 Algebraic geometry (14-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Field theory and polynomials (12-XX) 1 History and biography (01-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX)