Some of My Preprints (Not Necessarily the Published Version)
Irreducibility testing of lacunary 0,1-polynomials
, with Douglas Meade,
Journal of Algorithms 55 (2005), 21-28.
[pdf]
A generalization of a third irreducibility theorem of I. Schur
, with Martha Allen,
Acta Arith. 114 (2004), 183-197.
[pdf]
On the irreducibility of 0,1-polynomials of the form f(x) x^n + g(x)
, with Manton Matthews, Jr.,
Colloq. Math. 99 (2004), 1-5.
[pdf]
On testing the divisibility of lacunary polynomials by cyclotomic polynomials
, with Andrzej Schinzel,
Math. Comp. 73 (2004), 957-965.
[pdf]
A generalization of a second irreducibility theorem of I.Schur
, with Martha Allen,
Acta Arith. 109 (2003), 65-79.
[pdf]
On the irreducibility of a certain class of Laguerre polynomials
, with Richard Williams,
J. Number Theory 100 (2003), 229-250.
[pdf]
On coverings of the integers associated with an irreducibility theorem
of A. Schinzel.
Number theory for the millennium, II (Urbana, IL, 2000), A K Peters, Natick, MA, 2002, 1-24.
[pdf]
On the irreducibility of the generalized Laguerre polynomials,
with Tsit-Yuen Lam,
Acta Arith. 105 (2002), 177-182.
[pdf]
The irreducibility of the Bessel polynomials,
with Ognian Trifonov,
J. Reine Angew. Math. 550 (2002), 125-140.
[pdf]
A distribution problem for powerfree values of irreducible
polynomials,
with Brian Beasley,
Periodica Math. Hungarica 42 (2001), 123-144.
[pdf]
On an irreducibility theorem of A. Schinzel associated with coverings
of the integers,
with Kevin Ford and Sergei Konyagin,
Illinois J. Math. 44 (2000), 633-643.
[pdf]
Classes of polynomials having only one non-cyclotomic irreducible
factor,
with Alexander Borisov, Tsit-Yuen Lam, and Ognian
Trifonov, Acta Arith., 90 (1999), 121-153.
[pdf]
On the factorization of polynomials with small Euclidean norm
,
Number theory in progress, Vol.~1 (Zakopane-Ko\'scielisko, 1997),
de Gruyter, Berlin, 1999, 143-163.
[pdf]
An extension of a theorem of Ljunggren
,
with Ikhalfani Solan,
Math. Scand., 84 (1999), 5-10.
[pdf]
On a limit point associated with the abc-conjecture,
with Sergei Konyagin,
Colloquium Mathematicum, 76 (1998), 265-268.
[pdf]
Norms of factors of polynomials
, with
Ikhalfani Solan,
Acta Arith.,
82 (1997), 243-255.
[pdf]
Squarefree values of polynomials and the abc-conjecture,
with Jerzy Browkin, George Greaves, and
Andrzej Schinzel,
Sieve Methods, Exponential Sums, and their Applications in Number
Theory, edited by G. Greaves, G. Harman, and M. Huxley,
Cambridge Univ. Press, 1997, pp. 65-85.
[pdf]
The distribution of fractional parts with applications to gap results in number theory,
with Ognian Trifonov,
Proc. London Math. Soc. (3) 73 (1996), 241-278.
[pdf]
A generalization of an irreducibility theorem of I. Schur,
Analytic Number Theory: Proceedings of a Conference in Honor of Heini
Halberstam, Volume 1, edited by B.C. Berndt, H.G. Diamond, and
A.J. Hildebrand, Birkhauser, Boston, 1996, 371-396.
[pdf]
Squarefree values of polynomials all of whose coefficients are 0 and
1,
with Sergei Konyagin, Acta Arith., 74 (1996), 191-205.
[pdf]
The irreducibility of all but finitely many Bessel polynomials,
Acta Math., 174 (1995), 383-397.
[pdf]
The distribution of squarefull numbers in short intervals,
with Ognian Trifonov,
Acta Arith., 67 (1994), 323-333.
[pdf]
Powerfree values of binary forms,
Journal of Number Theory, 49 (1994), 250-268.
[pdf]
The minimal Euclidean norm of an algebraic number is effectively
computable,
with Michael Robinson and Ferrell Wheeler,
Journal of Algorithms, 16 (1994), 309-333.
[pdf]
On the distribution of gaps between squarefree numbers,
Mathematika, 40 (1993), 88-101.
[pdf]
A result on the digits of a^n,
with Richard Blecksmith and Charles Nicol,
Acta Arith., 64 (1993), 331--339.
[pdf]
Short interval results for k-free values of irreducible
polynomials,
Acta Arith., 64 (1993), 249--270.
[pdf]
An estimate for the
number of reducible Bessel Polynomials of bounded degree,
with Sid Graham,
Colloquium Mathematicum, 65 (1993), 65-68.
[pdf]
Squarefree values of polynomials,
Acta Arith., 60 (1992), 213-231.
[pdf]
On gaps between squarefree numbers II,
with Ognian Trifonov,
Journal of the London Math. Soc. (2), 45 (1992), 215-221.
[pdf]