1993
[1] M. A. Bennett, Fractional parts of powers of rational numbers, Math. Proc. Cambridge Philos. Soc. 114 (1993), 191-201
[2] M. A. Bennett, Effective lower bounds for the fractional parts of powers of a dense set of rationals, C. R. Math. Rep. Acad. Sci. Canada, XV (5), 1993, 201-206
1994
[3] M. A. Bennett, An ideal Waring problem with restricted summands, Acta Arith., LXVI.2 (1994), 125-132
1995
[4] M. A. Bennett, Simultaneous approximation to pairs of algebraic numbers, Canadian Mathematical Society Proceedings, Volume 15 (1995), 55-65 (pdf)
1996
[5] M. A. Bennett, Simultaneous rational approximation to binomial functions, Trans. Amer. Math. Soc. 348 (1996), 1717-1738 (pdf)
[6] M. A. Bennett, Solving norm form equations via lattice basis reduction, Rocky Mountain Journal of Mathematics 26 (1996), 815-837 (pdf)
1997
[7] M. A. Bennett, Effective measures of irrationality for certain algebraic numbers, J. Austral. Math. Soc. 62 (1997), 329-344 (pdf)
[8] M. A. Bennett, Explicit lower bounds for rational approximation to algebraic numbers, Proc. London Math. Soc. 75 (1997), 63-78 (pdf)
[9] M. A. Bennett, Solving families of simultaneous Pell equations, J. Number Th. 67 (1997), 246-251 (pdf)
1998
[10] M. A. Bennett and B. M. M. de Weger, On the Diophantine equation $|ax^{n}-by^{n}|=1$, Math. Comp. 67 (1998), 413-438 (pdf)
[11] M. A. Bennett, N. P. Dummigan and T. D. Wooley, The representation of integers by binary additive forms, Compositio Math. 111 (1998), 15-33 (pdf)
[12] M. A. Bennett, On the number of solutions of simultaneous Pell equations, J. Reine Angew. Math. 498 (1998), 173-200 (pdf)
1999
[13] M. A. Bennett and P. G. Walsh, The Diophantine equation $b^2X^4-dY^2=1$, Proc. Amer. Math. Soc. 127 (1999), 3481-3491 (pdf)
[14] M. A. Bennett, On consecutive integers of the form $ax^2, by^2$ and $cz^2$, Acta Arith. 88 (1999), 363-370 (pdf)
2000
[15] M. A. Bennett and P. G. Walsh, Simultaneous quadratic equations with few or no solutions, Indag. Mathem. 11 (2000), 1-12 (pdf)
2001
[16] M. A. Bennett, Rational approximation to algebraic numbers of small height : the Diophantine equation $|ax^n-by^n|=1$}, J. Reine Angew. Math. 535 (2001), 1-49 (pdf)
[17] M. A. Bennett, On the representation of unity by binary cubic forms, Trans. Amer. Math. Soc. 353 (2001), 1507-1534 (pdf)
[18] M. A. Bennett, On some exponential equations of S.S. Pillai, Canad. J. Math. 53 (2001), 897-922 (pdf)
2002
[19] M. Bauer and M. A. Bennett, Applications of the hypergeometric method to the generalized Ramanujan-Nagell equation, Ramanujan J. 6 (2002), 209-270 (pdf)
[20] M. A. Bennett, Lucas' square pyramid problem revisited, Acta Arith. 105 (2002), 341-347. (pdf)
2003
[21] M. A. Bennett, Pillai's conjecture revisited, J. Number Theory 98 (2003), 228-235. (pdf)
[22] M. A. Bennett, Recipes for ternary Diophantine equations of signature $(p,p,k)$, Proc. RIMS Kokyuroku (Kyoto) 1319 (2003), 51-55. (pdf)
2004
[23] M. A. Bennett and C. Skinner, Ternary Diophantine equations via Galois representations and modular forms, Canad. J. Math. 56 (2004), 23-54. (pdf)
[24] M. A. Bennett and B. Reznick, Positive rational solutions to $x^y=y^{mx}$ : a number-theoretic excursion, Amer. Math. Monthly 111 (2004), 13-21. (pdf)
[25] M. A. Bennett, V. Vatsal and S. Yazdani, Ternary Diophantine equations of signature $(p,p,3)$, Compositio Math. 140 (2004), 1399-1416. (pdf)
Click Transcript of Computations here to see details of the computations described in this paper.
[26] M. A. Bennett, Products of consecutive integers, Bull. London Math. Soc. 36 (2004), 683-694. (pdf)
[27] M. A. Bennett, K. Gyory and A. Pinter, On the Diophantine equation $1^k + 2^k + \cdots + x^k = y^n$, Compositio Math. 140 (2004), 1417-1431. (pdf)
[28] M. A. Bennett, On a theorem of Tartakowsky, Publ. Math. Debrecen 65 (2004), 269-279. (pdf)
2005
[29] M. A. Bennett, Powers in recurrence sequences : Pell equations, Trans. Amer. Math. Soc. 357 (2005), 1675-1691. (pdf)
[30] M. A. Bennett and P. Ingram, Torsion subgroups of elliptic curves in short Weierstrass form, Trans. Amer. Math. Soc. 357 (2005), 3325-3337. (pdf)
[31] M. A. Bennett, A question of Sierpinski on triangular numbers. Integers 5 (2005), no. 1, A25, 2 pp. (electronic). (pdf)
2006
[32] M. A. Bennett, N. Bruin, K. Gyory and L. Hajdu, Powers from products of consecutive terms in arithmetic progression. Proc. London Math. Soc. (3) 92 (2006), no. 2, 273--306. (pdf)
[33] M. A. Bennett, M. Cipu, M. Mignotte and R. Okazaki, On the number of solutions of simultaneous Pell equations. II. Acta Arith. 122 (2006), no. 4, 407--417. (pdf)
[34] M.A. Bennett, A. Togbe and P.G. Walsh, A generalization of a theorem of Bumby on quartic Diophantine equations. Int. J. Number Theory 2 (2006), no. 2, 195--206. (pdf)
[35] M. A. Bennett and J. Mulholland, On the Diophantine equation $x\sp n+y\sp n=2\sp \alpha pz\sp 2$. C. R. Math. Acad. Sci. Soc. R. Can. 28 (2006), no. 1, 6--11. (pdf)
[36] M. A. Bennett, K. Gyory, M. Mignotte and A. Pinter, Binomial Thue equations and polynomial powers. Compos. Math. 142 (2006), no. 5, 1103--1121. (pdf)
[37] M. A. Bennett, The equation $x^{2n}+y^{2n}=z^5$. J. Th. Nombres Bordeaux 18 (2006), 315-321. (pdf)
2007
[38] M. A. Bennett, The Diophantine equation $(x^k-1)(y^k-1)=(z^k-1)^t$. Indag. Math. 18 (2007), 1-19. (pdf)
[39] M. A. Bennett, Powers from five terms in arithmetic progression. Shorey conference proceedings, 2007, 1-6. (pdf)
2008
[40] M. A. Bennett, Differences between perfect powers. Canad. Math. Bull. 51 (2008), 337-347. (pdf)
[41] M. A. Bennett, Irrationality via the hypergeometric method, Diophantine Analysis and Related Fields -- DARF 2007/2008, 7-18, AIS CP 976, 200. (pdf)
[42] M. Bauer and M. A. Bennett, On a question of Erdos and Graham. L'Enseignement Math. 53 (2008), 259-264. (pdf)
[43] M. Bauer and M. A. Bennett, Prime factors of consecutive integers, Math. Comp. 77 (2008), 2455-2459. (pdf)
[44] M. A. Bennett, M. Filaseta and O. Trifonov, Yet another generalization of the Ramanujan-Nagell equation, Acta Arith. 134 (2008), 211-217. (pdf)
2009
[45] M. A. Bennett, M. Filaseta and O. Trifonov, On the factorization of consecutive integers. J. Reine Angew. Math. 629 (2009), 171-200. (pdf)
2010
[46] M. A. Bennett, J. Ellenberg and N. Ng, The Diophantine equation $A^4 + 2^\delta B^2 = C^p$. Inter. J. Number Theory 6 (2010), 1-27. (pdf)
2011
[47] M. A. Bennett, F. Luca and J. Mulholland, Twisted extensions of the cubic case of Fermat's Last Theorem. Ann. Sci. Math. Quebec. 35 (2011), 1-15. (pdf)
[48] M. A. Bennett, A superelliptic equation involving alternating sums of powers, Publ. Math. Debrecen, 79 (2011), 317-324. (pdf)
2012
[49] M. A. Bennett and I. Chen, Multi-Frey $Q$-curves and the Diophantine equation $a^2 + b^6 = c^n$, Algebra and Number Theory, 6 (2012), 707-730. (pdf)
[50] M. A. Bennett and S. Yazdani, A local version of Szpiro's conjecture, Experimental Math., 21 (2012), 103-116. (pdf)
[51] M. A. Bennett and R. Van Luijk, Squares from blocks of consecutive integers : a problem of Erdos and Graham, Indagationes Math., 23 (2012), 123-127. (pdf)
[52] M. A. Bennett and Y. Bugeaud, Effective results for restricted rational approximation to quadratic numbers, Acta Arith., 155 (2012), 259-269. (pdf)
[53] M. A. Bennett, Y. Bugeaud and M. Mignotte, Perfect powers with few binary digits and related Diophantine problems, II, Math. Proc. Cambridge Philos. Soc. 153 (2012), 525-540. (pdf)
[54] M. A. Bennett, Perfect powers with few ternary digits, Integers, 12 (2012), 1159-1166. (pdf)
2013
[55] M. A. Bennett and S. Dahmen, Klein forms and the generalized superelliptic equation, Annals of Math., 177 (2013), 171-239. (pdf)
[56] M. A. Bennett, I. Pink and Z. Rabai, On the number of solutions of binomial Thue inequalities, Publ. Math. Debrecen, 83 (2013), 241-256. (pdf)
[57] M. A. Bennett, Integral points on congruent number curves, Inter. J. Number Theory, 9 (2013), 1619-1640. (pdf)
[58] M. A. Bennett, Y. Bugeaud and M. Mignotte, Perfect powers with few binary digits and related Diophantine problems, Annali della Scuola Normale Superiore di Pisa, XII (2013), 941-953. (pdf)
2014
[59] M. A. Bennett and Y. Bugeaud, Perfect powers with three digits, Mathematika, 60 (2014), 66-84. (pdf)
[60] M. A. Bennett, I. Chen, S. Dahmen and S. Yazdani, On the equation $a^3+b^{3n}=c^2$, Acta Arith., 163 (2014), 327-343. (pdf)
2015
[61] M. A. Bennett, I. Chen, S. Dahmen and S. Yazdani, Generalized Fermat equations : a miscellany, Inter. J. Number Theory 11 (2015), 1-28. (pdf)
[62] M. A. Bennett and A. Pinter, Intersections of recurrence sequences, Proc. Amer. Math. Soc., 143 (2015), 2347-2353. (pdf)
[63] M. A. Bennett and A. Levin, The Nagell-Ljunggren equation via Runge's method, Monatsh. Math., 177 (2015), 15-31. (pdf)
[64] M. A. Bennett, S. Dahmen, M. Mignotte and S. Siksek, Shifted powers in binary recurrence sequences, Math. Proc. Cambridge Philos. Soc. 158 (2015), 305-329. (pdf)
[65] M. A. Bennett and A. Ghadermarzi, Extremal families of cubic Thue equations, J. Th. Nombres Bordeaux, 27 (2015), 389-403. (pdf)
[66] M. A. Bennett and A. Ghadermarzi, Mordell's equation : a classical approach, LMS J. Compute. Math., 18 (2015), 633-646. (pdf)
[67] M. Bauer and M. A. Bennett, Squares from sums of fixed powers, Glas. Math. Ser. III, 50 (70) (2015), 279-288. (pdf)
2016
[68] M. A. Bennett, V. Patel and S. Siksek, Superelliptic equations arising from sums of consecutive powers, Acta Arith., 172 (2016), no. 4, 377-393. (pdf)
[69] M. A. Bennett and S. Siksek, Rational points on Erd\H{o}s--Selfridge superelliptic curves, Compositio Math., 152 (2016), no. 11, 2249-2254. (pdf)
[70] M. A. Bennett, P. Mihailescu and S. Siksek, The generalized Fermat equation, in Springer volume Open Problems in Mathematics, 2016, 173-205. (pdf)
2017
[71] M. A. Bennett and N. Billerey, Sums of two $S$-units via Frey-Hellegouarch curves, Math. Comp., 86 (2017), 1375-1401. (pdf)
[72] M. A. Bennett, V. Patel and S. Siksek, Perfect powers that are sums of consecutive cubes, Mathematika 63 (2017), 230-249. (pdf)
Accepted for publication
[73] M. Bauer and M. A. Bennett, Ramanujan-Nagell cubics, to appear in Rocky Mountain J. Math., 19pp. (pdf)
[74] M. A. Bennett, The polynomial-exponential equation $1+2^a+6^b=y^q$, to appear in Periodica Mathematica Hungarica, 10pp (pdf)
[75] M. A. Bennett and A. Rechnitzer, Computing elliptic curves over Q : bad reduction at one prime, to appear in AMMCS-CAIMS 2015 proceedings, 24pp. (pdf)
[76] M. A. Bennett and A. Scheerer, Squares with three nonzero digits, to appear in Festschrift for Robert Tichy, 2017, 19pp. (pdf)
Preprints
[77] M. A. Bennett, C. Bruni and N. Freitas, Sums of two cubes as twisted perfect powers, revisited, submitted for publication, 40pp. (pdf)