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Filaseta, Michael A.

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Author ID: filaseta.michael-a Recent zbMATH articles by "Filaseta, Michael A."
Published as: Filaseta, M.; Filaseta, Michael; Filaseta, Michael A.
Documents Indexed: 83 Publications since 1980

Publications by Year

Citations contained in zbMATH Open

60 Publications have been cited 291 times in 175 Documents Cited by Year
On the irreducibility of the generalized Laguerre polynomials. Zbl 1010.12001
Filaseta, M.; Lam, T.-Y.
23
2002
The irreducibility of the Bessel polynomials. Zbl 1022.11053
Filaseta, Michael; Trifonov, Ognian
16
2002
The irreducibility of all but finitely many Bessel polynomials. Zbl 0845.11037
Filaseta, Michael
15
1995
Coverings of the integers associated with an irreducibility theorem of A. Schinzel. Zbl 1029.11007
Filaseta, Michael
13
2002
On gaps between squarefree numbers. II. Zbl 0799.11032
Filaseta, Michael; Trifonov, Ognian
13
1992
On powers associated with Sierpiński numbers, Riesel numbers and Polignac’s conjecture. Zbl 1221.11003
Filaseta, Michael; Finch, Carrie; Kozek, Mark
11
2008
Sieving by large integers and covering systems of congruences. Zbl 1210.11020
Filaseta, Michael; Ford, Kevin; Konyagin, Sergei; Pomerance, Carl; Yu, Gang
11
2007
On an irreducibility theorem of A. Schinzel associated with coverings of the integers. Zbl 0966.11046
Filaseta, M.; Ford, K.; Konyagin, S.
10
2000
Laguerre polynomials with Galois group \(A_m\) for each \(m\). Zbl 1287.11123
Filaseta, Michael; Kidd, Travis; Trifonov, Ognian
9
2012
T.N. Shorey’s influence in the theory of irreducible polynomials. Zbl 1194.11033
Filaseta, Michael; Finch, Carrie; Leidy, Russell J.
9
2008
Squarefree values of polynomials all of whose coefficients are 0 and 1. Zbl 0854.11015
Filaseta, Michael; Konyagin, Sergei
9
1996
On the irreducibility of a certain class of Laguerre polynomials. Zbl 1019.11006
Filaseta, Michael; Williams, Richard L. jun.
8
2003
Irreducibility and greatest common divisor algorithms for sparse polynomials. Zbl 1270.11129
Filaseta, Michael; Granville, Andrew; Schinzel, Andrzej
7
2008
On the irreducibility of \(0,1\)-polynomials of the form \(f(x) x^n + g(x)\). Zbl 1060.11066
Filaseta, Michael; Matthews, Manton jun.
7
2004
On testing the divisibility of lacunary polynomials by cyclotomic polynomials. Zbl 1099.13519
Filaseta, Michael; Schinzel, Andrzej
6
2004
On the factorization of polynomials with small Euclidean norm. Zbl 0928.11015
Filaseta, Michael
6
1999
The distribution of fractional parts with applications to gap results in number theory. Zbl 0867.11053
Filaseta, Michael; Trifonov, Ognian
6
1996
Powerfree values of binary forms. Zbl 0810.11050
Filaseta, Michael
6
1994
On an irreducibility theorem of A. Cohn. Zbl 0481.12006
Brillhart, John; Filaseta, Michael; Odlyzko, Andrew
6
1981
On classifying Laguerre polynomials which have Galois group the alternating group. Zbl 1287.11128
Banerjee, Pradipto; Filaseta, Michael; Finch, Carrie E.; Leidy, J. Russell
5
2013
On the factorization of consecutive integers. Zbl 1223.11040
Bennett, M. A.; Filaseta, M.; Trifonov, O.
5
2009
A generalization of an irreducibility theorem of I. Schur. Zbl 0854.11052
Filaseta, Michael
5
1996
A new method for solving a class of ballot problems. Zbl 0579.05005
Filaseta, Michael
5
1985
The distance to an irreducible polynomial. II. Zbl 1268.11040
Filaseta, Michael; Mossinghoff, Michael J.
4
2012
On a polynomial conjecture of Pál Turán. Zbl 1208.11035
Banerjee, Pradipto; Filaseta, Michael
4
2010
Yet another generalization of the Ramanujan-Nagell equation. Zbl 1177.11030
Bennett, M. A.; Filaseta, M.; Trifonov, O.
4
2008
On the irreducibility of a truncated binomial expansion. Zbl 1211.12004
Filaseta, Michael; Kumchev, Angel; Pasechnik, Dmitrii V.
4
2007
Irreducibility testing of lacunary 0,1-polynomials. Zbl 1094.68124
Filaseta, Michael; Meade, Douglas B.
4
2005
A result on the digits of \(a^ n\). Zbl 0787.11001
Blecksmith, R.; Filaseta, M.; Nicol, C.
4
1993
Irreducibility criteria for polynomials with non-negative coefficients. Zbl 0648.12016
Filaseta, Michael
4
1988
A further generalization of an irreducibility theorem of A. Cohn. Zbl 0477.12022
Filaseta, Michael
4
1982
Composites that remain composite after changing a digit. Zbl 1245.11018
Filaseta, Michael; Kozek, Mark; Nicol, Charles; Selfridge, John
3
2010
On three questions concerning \(0,1\)-polynomials. Zbl 1136.11020
Filaseta, Michael; Finch, Carrie; Nicol, Charles
3
2006
An extension of a theorem of Ljunggren. Zbl 0933.11006
Filaseta, Michael; Solan, Ikhalfani
3
1999
Squarefree values of polynomials and the \(abc\)-conjecture. Zbl 0926.11022
Browkin, J.; Filaseta, M.; Greaves, G.; Schinzel, A.
3
1997
An elementary approach to short interval results for \(k\)-free numbers. Zbl 0652.10032
Filaseta, Michael
3
1988
The non-cyclotomic part of \(f(x)x^n + g(x)\) and roots of reciprocal polynomials off the unit circle. Zbl 1279.11027
Dobrowolski, E.; Filaseta, M.; Vincent, A. F.
2
2013
A polynomial investigation inspired by work of Schinzel and Sierpiński. Zbl 1293.11048
Filaseta, Michael; Harrington, Joshua
2
2012
Solving \(n(n + d) \cdots (n + (k - 1)d) = by^{2}\) with \(P(b) \leq Ck\). Zbl 1268.11045
Filaseta, M.; Laishram, S.; Saradha, N.
2
2012
Two Diophantine approaches to the irreducibility of certain trinomials. Zbl 1217.11092
Filaseta, M.; Luca, F.; Stănică, P.; Underwood, R. G.
2
2007
A generalization of a third irreducibility theorem of I. Schur. Zbl 1072.12001
Allen, Martha; Filaseta, Michael
2
2004
A generalization of a second irreducibility theorem of I.  Schur. Zbl 1019.11005
Allen, Martha; Filaseta, Michael
2
2003
Norms of factors of polynomials. Zbl 0892.11008
Filaseta, Michael; Solan, Ikhalfani
2
1997
The minimal Euclidean norm of an algebraic number is effectively computable. Zbl 0795.11064
Filaseta, Michael; Robinson, M. L.; Wheeler, Ferrell S.
2
1994
Sets which contain a quadratic residue modulo p for almost all p. Zbl 0696.10006
Filaseta, Michael A.; Richman, David R.
2
1989
Starting with gaps between \(k\)-free numbers. Zbl 1333.11091
Filaseta, M.; Graham, S.; Trifonov, O.
1
2015
On colorings of Pythagorean triples within colorings of the positive integers. Zbl 1374.11033
Cooper, Joshua; Filaseta, Michael; Harrington, Joshua; White, Daniel
1
2014
Is every polynomial with integer coefficients near an irreducible polynomial? Zbl 1321.11035
Filaseta, Michael
1
2014
On values of \(d(n!)/m!\), \(\varphi (n!)/m!\) and \(\sigma (n!)/m!\). Zbl 1246.11164
Baczkowski, Daniel; Filaseta, Michael; Luca, Florian; Trifonov, Ognian
1
2010
Classes of polynomials having only one non-cyclotomic irreducible factor. Zbl 0935.11039
Borisov, A.; Filaseta, M.; Lam, T. Y.; Trifonov, O.
1
1999
On a limit point associated with the \(abc\)-conjecture. Zbl 0904.11010
Filaseta, Michael; Konyagin, Sergej
1
1998
An estimate for the number of reducible Bessel polynomials of bounded degrees. Zbl 0818.11014
Filaseta, M.; Graham, S. W.
1
1993
On the distribution of gaps between squarefree numbers. Zbl 0784.11044
Filaseta, Michael
1
1993
Squarefree values of polynomials. Zbl 0743.11049
Filaseta, Michael
1
1992
On an irreducibility theorem of I. Schur. Zbl 0733.11006
Filaseta, Michael
1
1991
Short interval results for squarefree numbers. Zbl 0698.10027
Filaseta, Michael
1
1990
Sets with elements summing to squarefree numbers. Zbl 0658.10067
Filaseta, Michael
1
1987
The irreducibility of almost all Bessel polynomials. Zbl 0624.33007
Filaseta, Michael
1
1987
Newton’s method and simple continued fractions. Zbl 0603.10007
Filaseta, Michael
1
1986
An application of Faltings’ results to Fermat’s last theorem. Zbl 0533.10010
Filaseta, Michael
1
1984
Starting with gaps between \(k\)-free numbers. Zbl 1333.11091
Filaseta, M.; Graham, S.; Trifonov, O.
1
2015
On colorings of Pythagorean triples within colorings of the positive integers. Zbl 1374.11033
Cooper, Joshua; Filaseta, Michael; Harrington, Joshua; White, Daniel
1
2014
Is every polynomial with integer coefficients near an irreducible polynomial? Zbl 1321.11035
Filaseta, Michael
1
2014
On classifying Laguerre polynomials which have Galois group the alternating group. Zbl 1287.11128
Banerjee, Pradipto; Filaseta, Michael; Finch, Carrie E.; Leidy, J. Russell
5
2013
The non-cyclotomic part of \(f(x)x^n + g(x)\) and roots of reciprocal polynomials off the unit circle. Zbl 1279.11027
Dobrowolski, E.; Filaseta, M.; Vincent, A. F.
2
2013
Laguerre polynomials with Galois group \(A_m\) for each \(m\). Zbl 1287.11123
Filaseta, Michael; Kidd, Travis; Trifonov, Ognian
9
2012
The distance to an irreducible polynomial. II. Zbl 1268.11040
Filaseta, Michael; Mossinghoff, Michael J.
4
2012
A polynomial investigation inspired by work of Schinzel and Sierpiński. Zbl 1293.11048
Filaseta, Michael; Harrington, Joshua
2
2012
Solving \(n(n + d) \cdots (n + (k - 1)d) = by^{2}\) with \(P(b) \leq Ck\). Zbl 1268.11045
Filaseta, M.; Laishram, S.; Saradha, N.
2
2012
On a polynomial conjecture of Pál Turán. Zbl 1208.11035
Banerjee, Pradipto; Filaseta, Michael
4
2010
Composites that remain composite after changing a digit. Zbl 1245.11018
Filaseta, Michael; Kozek, Mark; Nicol, Charles; Selfridge, John
3
2010
On values of \(d(n!)/m!\), \(\varphi (n!)/m!\) and \(\sigma (n!)/m!\). Zbl 1246.11164
Baczkowski, Daniel; Filaseta, Michael; Luca, Florian; Trifonov, Ognian
1
2010
On the factorization of consecutive integers. Zbl 1223.11040
Bennett, M. A.; Filaseta, M.; Trifonov, O.
5
2009
On powers associated with Sierpiński numbers, Riesel numbers and Polignac’s conjecture. Zbl 1221.11003
Filaseta, Michael; Finch, Carrie; Kozek, Mark
11
2008
T.N. Shorey’s influence in the theory of irreducible polynomials. Zbl 1194.11033
Filaseta, Michael; Finch, Carrie; Leidy, Russell J.
9
2008
Irreducibility and greatest common divisor algorithms for sparse polynomials. Zbl 1270.11129
Filaseta, Michael; Granville, Andrew; Schinzel, Andrzej
7
2008
Yet another generalization of the Ramanujan-Nagell equation. Zbl 1177.11030
Bennett, M. A.; Filaseta, M.; Trifonov, O.
4
2008
Sieving by large integers and covering systems of congruences. Zbl 1210.11020
Filaseta, Michael; Ford, Kevin; Konyagin, Sergei; Pomerance, Carl; Yu, Gang
11
2007
On the irreducibility of a truncated binomial expansion. Zbl 1211.12004
Filaseta, Michael; Kumchev, Angel; Pasechnik, Dmitrii V.
4
2007
Two Diophantine approaches to the irreducibility of certain trinomials. Zbl 1217.11092
Filaseta, M.; Luca, F.; Stănică, P.; Underwood, R. G.
2
2007
On three questions concerning \(0,1\)-polynomials. Zbl 1136.11020
Filaseta, Michael; Finch, Carrie; Nicol, Charles
3
2006
Irreducibility testing of lacunary 0,1-polynomials. Zbl 1094.68124
Filaseta, Michael; Meade, Douglas B.
4
2005
On the irreducibility of \(0,1\)-polynomials of the form \(f(x) x^n + g(x)\). Zbl 1060.11066
Filaseta, Michael; Matthews, Manton jun.
7
2004
On testing the divisibility of lacunary polynomials by cyclotomic polynomials. Zbl 1099.13519
Filaseta, Michael; Schinzel, Andrzej
6
2004
A generalization of a third irreducibility theorem of I. Schur. Zbl 1072.12001
Allen, Martha; Filaseta, Michael
2
2004
On the irreducibility of a certain class of Laguerre polynomials. Zbl 1019.11006
Filaseta, Michael; Williams, Richard L. jun.
8
2003
A generalization of a second irreducibility theorem of I.  Schur. Zbl 1019.11005
Allen, Martha; Filaseta, Michael
2
2003
On the irreducibility of the generalized Laguerre polynomials. Zbl 1010.12001
Filaseta, M.; Lam, T.-Y.
23
2002
The irreducibility of the Bessel polynomials. Zbl 1022.11053
Filaseta, Michael; Trifonov, Ognian
16
2002
Coverings of the integers associated with an irreducibility theorem of A. Schinzel. Zbl 1029.11007
Filaseta, Michael
13
2002
On an irreducibility theorem of A. Schinzel associated with coverings of the integers. Zbl 0966.11046
Filaseta, M.; Ford, K.; Konyagin, S.
10
2000
On the factorization of polynomials with small Euclidean norm. Zbl 0928.11015
Filaseta, Michael
6
1999
An extension of a theorem of Ljunggren. Zbl 0933.11006
Filaseta, Michael; Solan, Ikhalfani
3
1999
Classes of polynomials having only one non-cyclotomic irreducible factor. Zbl 0935.11039
Borisov, A.; Filaseta, M.; Lam, T. Y.; Trifonov, O.
1
1999
On a limit point associated with the \(abc\)-conjecture. Zbl 0904.11010
Filaseta, Michael; Konyagin, Sergej
1
1998
Squarefree values of polynomials and the \(abc\)-conjecture. Zbl 0926.11022
Browkin, J.; Filaseta, M.; Greaves, G.; Schinzel, A.
3
1997
Norms of factors of polynomials. Zbl 0892.11008
Filaseta, Michael; Solan, Ikhalfani
2
1997
Squarefree values of polynomials all of whose coefficients are 0 and 1. Zbl 0854.11015
Filaseta, Michael; Konyagin, Sergei
9
1996
The distribution of fractional parts with applications to gap results in number theory. Zbl 0867.11053
Filaseta, Michael; Trifonov, Ognian
6
1996
A generalization of an irreducibility theorem of I. Schur. Zbl 0854.11052
Filaseta, Michael
5
1996
The irreducibility of all but finitely many Bessel polynomials. Zbl 0845.11037
Filaseta, Michael
15
1995
Powerfree values of binary forms. Zbl 0810.11050
Filaseta, Michael
6
1994
The minimal Euclidean norm of an algebraic number is effectively computable. Zbl 0795.11064
Filaseta, Michael; Robinson, M. L.; Wheeler, Ferrell S.
2
1994
A result on the digits of \(a^ n\). Zbl 0787.11001
Blecksmith, R.; Filaseta, M.; Nicol, C.
4
1993
An estimate for the number of reducible Bessel polynomials of bounded degrees. Zbl 0818.11014
Filaseta, M.; Graham, S. W.
1
1993
On the distribution of gaps between squarefree numbers. Zbl 0784.11044
Filaseta, Michael
1
1993
On gaps between squarefree numbers. II. Zbl 0799.11032
Filaseta, Michael; Trifonov, Ognian
13
1992
Squarefree values of polynomials. Zbl 0743.11049
Filaseta, Michael
1
1992
On an irreducibility theorem of I. Schur. Zbl 0733.11006
Filaseta, Michael
1
1991
Short interval results for squarefree numbers. Zbl 0698.10027
Filaseta, Michael
1
1990
Sets which contain a quadratic residue modulo p for almost all p. Zbl 0696.10006
Filaseta, Michael A.; Richman, David R.
2
1989
Irreducibility criteria for polynomials with non-negative coefficients. Zbl 0648.12016
Filaseta, Michael
4
1988
An elementary approach to short interval results for \(k\)-free numbers. Zbl 0652.10032
Filaseta, Michael
3
1988
Sets with elements summing to squarefree numbers. Zbl 0658.10067
Filaseta, Michael
1
1987
The irreducibility of almost all Bessel polynomials. Zbl 0624.33007
Filaseta, Michael
1
1987
Newton’s method and simple continued fractions. Zbl 0603.10007
Filaseta, Michael
1
1986
A new method for solving a class of ballot problems. Zbl 0579.05005
Filaseta, Michael
5
1985
An application of Faltings’ results to Fermat’s last theorem. Zbl 0533.10010
Filaseta, Michael
1
1984
A further generalization of an irreducibility theorem of A. Cohn. Zbl 0477.12022
Filaseta, Michael
4
1982
On an irreducibility theorem of A. Cohn. Zbl 0481.12006
Brillhart, John; Filaseta, Michael; Odlyzko, Andrew
6
1981
all top 5

Cited by 228 Authors

21 Filaseta, Michael A.
10 Shorey, Tarlok Nath
8 Dubickas, Artūras
8 Laishram, Shanta
5 Banerjee, Pradipto
5 Finch, Carrie E.
4 Bonciocat, Nicolae Ciprian
4 Bugeaud, Yann
4 Luca, Florian
4 Mauduit, Christian
4 Sun, Zhi-Wei
4 Trifonov, Ognian
3 Amoroso, Francesco
3 Bera, Ranjan
3 Harrington, Joshua
3 Jankauskas, Jonas
3 Jones, Lenny K.
3 Mossinghoff, Michael J.
3 Nair, Saranya G.
3 Sombra, Martín
3 Srivastava, Rajesh Kumar
3 Vincent, Andrew F.
3 Zaharescu, Alexandru
2 Alkan, Emre
2 Aloui, Karam
2 Cipu, Mihai
2 Gross, Samuel S.
2 Hajir, Farshid
2 Harman, Glyn
2 Huxley, Martin N.
2 Konyagin, Sergeĭ Vladimirovich
2 Leroux, Louis
2 Mignotte, Maurice
2 Nielsen, Pace P.
2 Pollack, Paul
2 Saradha, N.
2 Schinzel, Andrzej
2 Shparlinski, Igor E.
2 Sun, Xuegong
2 Wright, Steve
2 Wu, Jie
2 Xiao, Stanley Yao
1 Akhtari, Shabnam
1 Aliev, Iskander M.
1 Arikatla, Satyanarayana Reddy
1 Avdeeva, Maria
1 Baker, Roger C.
1 Banerjee, Abhijit
1 Bennett, Michael A.
1 Berenhaut, Kenneth S.
1 Berrizbeitia, Pedro
1 Bertók, Csanád
1 Bhatnagar, Nayantara
1 Böhm, Walter
1 Bonciocat, Anca Iuliana
1 Brillhart, John
1 Browkin, Jerzy
1 Browning, Timothy Daniel
1 Cafure, Antonio
1 Cellarosi, Francesco
1 Cesaratto, Eda
1 Chakraborty, Bikash
1 Chaos, Holly Paige
1 Chattopadhyay, Arkadev
1 Chen, Yonggao
1 Cheng, Qi
1 Col, Sylvain
1 Cole, Morgan
1 Cordwell, Katherine
1 Cullinan, John
1 Dai, Lixia
1 Dartyge, Cécile
1 De Wannemacker, Stefan A. G.
1 Dilcher, Karl
1 Dresden, Gregory P. B.
1 Dunn, Scott M.
1 Dutykh, Denys
1 Eliahou, Shalom
1 Erdős, Pál
1 Ericksen, Larry
1 Evseev, Anton
1 Fernandes, J. G.
1 Finch-Smith, Carrie E.
1 Fromentin, Jean
1 Fu, Ruiqin
1 Fuchs, Clemens
1 Fuchs, Michael
1 Gao, Shuhong
1 Gessel, Ira Martin
1 Ghadermarzi, Amir
1 Ghosh, Somnath
1 Gibson, Donald Jason
1 Glasby, Stephen Peter
1 González, Marcos José
1 Gopalan, Parikshit
1 Grabiner, David J.
1 Graham, Sidney W.
1 Grenet, Bruno
1 Grosu, Codruţ
1 Grosu, Corina
...and 128 more Authors
all top 5

Cited in 68 Serials

32 Journal of Number Theory
12 Mathematics of Computation
8 Indagationes Mathematicae. New Series
8 Journal de Théorie des Nombres de Bordeaux
8 International Journal of Number Theory
6 Acta Arithmetica
5 Functiones et Approximatio. Commentarii Mathematici
5 Mathematika
4 Bulletin of the Australian Mathematical Society
4 Periodica Mathematica Hungarica
4 Archiv der Mathematik
4 Acta Mathematica Sinica. English Series
3 Israel Journal of Mathematics
3 Journal of Combinatorial Theory. Series A
3 Proceedings of the American Mathematical Society
2 Indian Journal of Pure & Applied Mathematics
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Rocky Mountain Journal of Mathematics
2 Annales de l’Institut Fourier
2 Journal für die Reine und Angewandte Mathematik
2 Mathematische Zeitschrift
2 Acta Mathematica Hungarica
2 Revista Matemática Iberoamericana
2 Experimental Mathematics
2 Research in Number Theory
1 American Mathematical Monthly
1 Communications in Algebra
1 Discrete Mathematics
1 Inverse Problems
1 Theory of Probability and its Applications
1 Acta Mathematica
1 Colloquium Mathematicum
1 Duke Mathematical Journal
1 Journal of Algebra
1 Journal of Computer and System Sciences
1 Journal of Functional Analysis
1 Journal of Pure and Applied Algebra
1 Journal of Statistical Planning and Inference
1 Kyungpook Mathematical Journal
1 Monatshefte für Mathematik
1 Osaka Journal of Mathematics
1 Quaestiones Mathematicae
1 Results in Mathematics
1 Studies in Applied Mathematics
1 Advances in Applied Mathematics
1 Statistics & Probability Letters
1 Chinese Annals of Mathematics. Series B
1 Annals of Pure and Applied Logic
1 Journal of Symbolic Computation
1 Computational Mechanics
1 Forum Mathematicum
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Bulletin des Sciences Mathématiques
1 The Journal of Fourier Analysis and Applications
1 The Ramanujan Journal
1 Theory of Computing Systems
1 Annals of Combinatorics
1 Journal of Mathematical Fluid Mechanics
1 Annals of Mathematics. Second Series
1 Integers
1 Foundations of Computational Mathematics
1 Central European Journal of Mathematics
1 Inverse Problems in Science and Engineering
1 Chebyshevskiĭ Sbornik
1 Afrika Matematika
1 Communications in Mathematics
1 Annales Mathématiques du Québec
1 Arnold Mathematical Journal

Citations by Year