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[1]
Filaseta,
Michael; Matthews,
Manton, Jr. On the irreducibility of $0,1$-polynomials of the form
$f(x)x\sp n+g(x)$.
Colloq.
Math. 99 (2004),
no. 1, 1--5. |
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[2]
Allen,
Martha; Filaseta,
Michael A generalization of a third irreducibility theorem of I.
Schur.
Acta Arith. 114 (2004),
no. 2, 183--197. |
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[3]
Filaseta,
Michael; Schinzel,
Andrzej On testing the divisibility of lacunary polynomials by
cyclotomic polynomials.
Math. Comp. 73 (2004),
no. 246, 957--965. |
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[4]
Filaseta,
Michael; Williams,
Richard L., Jr. On the irreducibility of a certain class of
Laguerre polynomials.
J. Number Theory 100 (2003),
no. 2, 229--250. |
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[5]
Allen,
Martha; Filaseta,
Michael A generalization of a second irreducibility theorem of I.
Schur.
Acta Arith. 109 (2003),
no. 1, 65--79. |
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[6]
Filaseta,
Michael Coverings of the integers associated with an irreducibility
theorem of A. Schinzel.
Number theory for the millennium, II (Urbana, IL, 2000),
1--24, A K Peters, Natick, MA, 2002. |
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[7]
Filaseta,
M.; Lam,
T.-Y. On the irreducibility of the generalized Laguerre
polynomials.
Acta Arith. 105 (2002),
no. 2, 177--182. |
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[8]
Adelberg,
Arnold; Filaseta,
Michael On $m$th order Bernoulli polynomials of degree $m$ that are
Eisenstein.
Colloq.
Math. 93 (2002),
no. 1, 21--26. |
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[9]
Filaseta,
Michael; Trifonov,
Ognian The irreducibility of the Bessel polynomials.
J. Reine Angew. Math.
550 (2002), 125--140. |
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[10]
Beasley,
Brian; Filaseta,
Michael A distribution problem for powerfree values of irreducible
polynomials.
Period. Math. Hungar. 42
(2001),
no. 1-2, 123--144. |
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[11]
Filaseta,
M.; Ford,
K.; Konyagin,
S. On an irreducibility theorem of A. Schinzel associated with
coverings of the integers.
Illinois J. Math. 44 (2000),
no. 3, 633--643. |
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[12] Borisov,
A.; Filaseta,
M.; Lam,
T. Y.; Trifonov,
O. Classes of polynomials having only one non-cyclotomic
irreducible factor.
Acta Arith. 90 (1999),
no. 2, 121--153. |
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[13]
Filaseta,
Michael On the factorization of polynomials with small Euclidean
norm.
Number theory in progress, Vol. 1 (Zakopane-Ko\'scielisko,
1997), 143--163, de Gruyter, Berlin, 1999. |
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[14]
Filaseta,
Michael; Solan,
Ikhalfani An extension of a theorem of Ljunggren.
Math.
Scand. 84 (1999),
no. 1, 5--10. |
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[15]
Filaseta,
Michael; Konyagin,
Serge\u\i On a limit point associated with the $abc$-conjecture.
Colloq.
Math. 76 (1998),
no. 2, 265--268. |
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[16]
Browkin,
J.; Filaseta,
M.; Greaves,
G.; Schinzel,
A. Squarefree values of polynomials and the $abc$-conjecture.
Sieve methods, exponential sums, and their applications in
number theory (Cardiff, 1995), 65--85, London
Math. Soc. Lecture Note Ser., 237, Cambridge Univ. Press,
Cambridge, 1997. |
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[17]
Filaseta,
Michael; Solan,
Ikhalfani Norms of factors of polynomials.
Acta Arith. 82 (1997),
no. 3, 243--255. |
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[18]
Filaseta,
Michael The smallest maximal set of pairwise disjoint partitions.
Number theory (New York, 1991--1995), 103--113, Springer,
New York, 1996. |
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[19]
Filaseta,
Michael A generalization of an irreducibility theorem of I. Schur.
Analytic number theory, Vol. 1 (Allerton Park, IL, 1995),
371--396, Progr.
Math., 138, Birkhäuser Boston, Boston, MA, 1996. |
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[20] Filaseta,
Michael; Trifonov,
Ognian The distribution of fractional parts with applications to
gap results in number theory.
Proc. London Math. Soc. (3) 73
(1996),
no. 2, 241--278. |
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[21] Filaseta,
Michael; Konyagin,
Sergei Squarefree values of polynomials all of whose coefficients
are $0$ and $1$.
Acta Arith. 74 (1996),
no. 3, 191--205. |
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[22]
Filaseta,
Michael The irreducibility of all but finitely many Bessel
polynomials.
Acta
Math. 174 (1995),
no. 2, 383--397. |
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[23]
Filaseta,
Michael Powerfree values of binary forms.
J. Number Theory 49 (1994),
no. 2, 250--268. |
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[24]
Filaseta,
Michael; Trifonov,
Ognian The distribution of squarefull numbers in short intervals.
Acta Arith. 67 (1994),
no. 4, 323--333. |
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[25]
Filaseta,
Michael; Robinson,
M. L.; Wheeler,
Ferrell S. The minimal Euclidean norm of an algebraic number is
effectively computable.
J.
Algorithms 16 (1994),
no. 2, 309--333. |
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[26]
Filaseta,
Michael On the distribution of gaps between squarefree numbers.
Mathematika
40 (1993),
no. 1, 88--101. |
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[27]
Blecksmith,
R.; Filaseta,
M.; Nicol,
C. A result on the digits of $a\sp n$.
Acta Arith. 64 (1993),
no. 4, 331--339. |
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[28]
Filaseta,
Michael Short interval results for $k$-free values of irreducible
polynomials.
Acta Arith. 64 (1993),
no. 3, 249--270. |
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[29]
Filaseta,
M.; Graham,
S. W. An estimate for the number of reducible Bessel polynomials of
bounded degree.
Colloq.
Math. 65 (1993),
no. 1, 65--68. |
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[30]
Filaseta,
Michael; Trifonov,
Ognian On gaps between squarefree numbers. II.
J. London Math. Soc. (2) 45
(1992),
no. 2, 215--221. |
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[31]
Filaseta,
Michael Squarefree values of polynomials.
Acta Arith. 60 (1992),
no. 3, 213--231. |
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[32]
Filaseta,
Michael On an irreducibility theorem of I. Schur.
Acta Arith. 58 (1991),
no. 3, 251--272. |
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[33]
Filaseta,
Michael; Trifonov,
Ognian On gaps between squarefree numbers.
Analytic number theory (Allerton Park, IL, 1989),
235--253, Progr.
Math., 85, Birkhäuser Boston, Boston, MA, 1990. |
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[34]
Filaseta,
Michael Rouché's theorem for polynomials.
Amer. Math. Monthly 97 (1990),
no. 9, 834--835. |
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[35]
Filaseta,
Michael Short interval results for squarefree numbers.
J. Number Theory 35 (1990),
no. 2, 128--149. |
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[36]
Filaseta,
Michael A.; Richman,
David R. Sets which contain a quadratic residue modulo $p$ for
almost all $p$.
Math. J. Okayama Univ.
31 (1989), 1--8. |
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[37]
Filaseta,
Michael An elementary approach to short interval results for
$k$-free numbers.
J. Number Theory 30 (1988),
no. 2, 208--225. |
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[38]
Filaseta,
Michael Prime values of irreducible polynomials.
Acta Arith. 50 (1988),
no. 2, 133--145. |
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[39]
Filaseta,
Michael Irreducibility criteria for polynomials with nonnegative
coefficients.
Canad. J. Math. 40 (1988),
no. 2, 339--351. |
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[40]
Filaseta,
Michael Sets with elements summing to squarefree numbers.
C. R. Math. Rep. Acad. Sci. Canada 9
(1987),
no. 5, 243--246. |
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[41]
Filaseta,
Michael The irreducibility of almost all Bessel polynomials.
J. Number Theory 27 (1987),
no. 1, 22--32. |
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[42]
Filaseta,
Michael Newton's method and simple continued fractions.
Fibonacci Quart. 24 (1986),
no. 1, 41--46. |
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[43]
Filaseta,
Michael A new method for solving a class of ballot problems.
J. Combin. Theory Ser. A 39
(1985),
no. 1, 102--111. |
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[44]
Filaseta,
Michael An application of Faltings' results to Fermat's last
theorem.
C. R. Math. Rep. Acad. Sci. Canada 6
(1984),
no. 1, 31--33. |
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[45]
Filaseta,
Michael A further generalization of an irreducibility theorem of A.
Cohn.
Canad. J. Math. 34 (1982),
no. 6, 1390--1395. |
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[46]
Brillhart,
John; Filaseta,
Michael; Odlyzko,
Andrew On an irreducibility theorem of A. Cohn.
Canad. J. Math. 33 (1981), no.
5, 1055--1059. |
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