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Bennett, Michael A.

Author ID: bennett.michael-a Recent zbMATH articles by "Bennett, Michael A."
Published as: Bennett, Michael A.; Bennett, M. A.; Bennett, Michael
Further Spellings: Bennett, Mike
Homepage: https://www.math.ubc.ca/~bennett/
External Links: MGP
all top 5

Serials

12 Acta Arithmetica
6 Transactions of the American Mathematical Society
5 Mathematics of Computation
5 Compositio Mathematica
5 Publicationes Mathematicae Debrecen
5 International Journal of Number Theory
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Journal für die Reine und Angewandte Mathematik
3 Indagationes Mathematicae. New Series
3 Journal de Théorie des Nombres de Bordeaux
3 Integers
3 Algebra & Number Theory
2 Rocky Mountain Journal of Mathematics
2 Canadian Journal of Mathematics
2 Journal of Number Theory
2 Mathematika
2 Proceedings of the American Mathematical Society
2 Proceedings of the London Mathematical Society. Third Series
2 Comptes Rendus Mathématiques de l’Académie des Sciences
2 Annals of Mathematics. Second Series
1 American Mathematical Monthly
1 Bulletin of the Australian Mathematical Society
1 Periodica Mathematica Hungarica
1 Annales des Sciences Mathématiques du Québec
1 Bulletin of the London Mathematical Society
1 Canadian Mathematical Bulletin
1 Illinois Journal of Mathematics
1 Journal of Combinatorial Theory. Series A
1 Mathematische Annalen
1 Monatshefte für Mathematik
1 L’Enseignement Mathématique. 2e Série
1 Glasnik Matematički. Serija III
1 Journal of the Australian Mathematical Society. Series A
1 Experimental Mathematics
1 The Ramanujan Journal
1 LMS Journal of Computation and Mathematics
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Research in Number Theory

Publications by Year

Citations contained in zbMATH Open

83 Publications have been cited 783 times in 479 Documents Cited by Year
Ternary Diophantine equations via Galois representations and modular forms. Zbl 1053.11025
Bennett, Michael A.; Skinner, Chris M.
90
2004
On the number of solutions of simultaneous Pell equations. Zbl 1044.11011
Bennett, Michael A.
45
1998
Explicit bounds for primes in arithmetic progressions. Zbl 1440.11180
Bennett, Michael A.; Martin, Greg; O’Bryant, Kevin; Rechnitzer, Andrew
42
2018
Rational approximation to algebraic numbers of small height: The Diophantine equation \(|ax^n-by^n|=1\). Zbl 1002.11059
Bennett, Michael A.
32
2001
The Diophantine equation \(A^4 + 2^{\delta }B^2 = C^n\). Zbl 1218.11035
Bennett, Michael A.; Ellenberg, Jordan S.; Ng, Nathan C.
31
2010
On some exponential equations of S. S. Pillai. Zbl 0984.11014
Bennett, Michael A.
28
2001
Applications of the hypergeometric method to the generalized Ramanujan-Nagell equation. Zbl 1010.11020
Bauer, Mark; Bennett, Michael A.
25
2002
Powers from products of consecutive terms in arithmetic progression. Zbl 1178.11033
Bennett, M. A.; Bruin, N.; Győry, K.; Hajdu, L.
24
2006
Ternary Diophantine equations of signature \((p,p,3)\). Zbl 1096.11013
Bennett, Michael A.; Vatsal, Vinayak; Yazdani, Soroosh
23
2004
On the Diophantine equation \(1^k+ 2^k+\cdots+ x^k= y^n\). Zbl 1066.11013
Bennett, Michael A.; Győry, Kálmán; Pintér, Ákos
19
2004
Generalized Fermat equations: a miscellany. Zbl 1390.11065
Bennett, Michael A.; Chen, Imin; Dahmen, Sander R.; Yazdani, Soroosh
17
2015
On the number of solutions of simultaneous Pell equations. II. Zbl 1165.11034
Bennett, Michael A.; Cipu, Mihai; Mignotte, Maurice; Okazaki, Ryotaro
15
2006
The Diophantine equation \(b^2X^4-dY^2=1\). Zbl 0980.11021
Bennett, Michael A.; Walsh, Gary
15
1999
On the representation of unity by binary cubic forms. Zbl 0972.11014
Bennett, Michael A.
14
2001
Perfect powers with few binary digits and related Diophantine problems. II. Zbl 1291.11016
Bennett, Michael A.; Bugeaud, Yann; Mignotte, Maurice
14
2012
On a question of Erdős and Graham. Zbl 1155.11019
Bauer, Mark; Bennett, Michael A.
13
2007
Products of consecutive integers. Zbl 1152.11321
Bennett, Michael A.
13
2004
Superelliptic equations arising from sums of consecutive powers. Zbl 1401.11076
Bennett, Michael A.; Patel, Vandita; Siksek, Samir
13
2016
Effective measures of irrationality for certain algebraic numbers. Zbl 0880.11055
Bennett, Michael A.
12
1997
Perfect powers that are sums of consecutive cubes. Zbl 1437.11046
Bennett, Michael A.; Patel, Vandita; Siksek, Samir
12
2017
On the diophantine equation \(| ax^n-by^n|=1\). Zbl 0892.11041
Bennett, Michael A.; de Weger, Benjamin M. M.
11
1998
Multi-Frey \(\mathbb Q\)-curves and the Diophantine equation \(a^2+b^6=c^n\). Zbl 1264.11022
Bennett, Michael A.; Chen, Imin
11
2012
Binomial Thue equations and polynomial powers. Zbl 1126.11018
Bennett, M. A.; Győry, K.; Mignotte, M.; Pintér, Á.
10
2006
Explicit lower bounds for rational approximation to algebraic numbers. Zbl 0879.11038
Bennett, Michael A.
10
1997
Simultaneous rational approximation to binomial functions. Zbl 0873.11042
Bennett, Michael A.
10
1996
Mordell’s equation: a classical approach. Zbl 1371.11077
Bennett, Michael A.; Ghadermarzi, Amir
10
2015
Klein forms and the generalized superelliptic equation. Zbl 1321.11059
Bennett, Michael A.; Dahmen, Sander R.
10
2013
Lucas’ square pyramid problem revisited. Zbl 1090.11019
Bennett, Michael A.
9
2002
Perfect powers with few binary digits and related Diophantine problems. Zbl 1303.11084
Bennett, Michael A.; Bugeaud, Yann; Mignotte, Maurice
9
2013
Fractional parts of powers of rational numbers. Zbl 0791.11030
Bennett, Michael A.
8
1993
Odd values of the Ramanujan tau function. Zbl 1525.11034
Bennett, Michael A.; Gherga, Adela; Patel, Vandita; Siksek, Samir
8
2022
Squares from blocks of consecutive integers: a problem of Erdős and Graham. Zbl 1270.11026
Bennett, Michael A.; Van Luijk, Ronald
8
2012
The Nagell-Ljunggren equation via Runge’s method. Zbl 1395.11060
Bennett, Michael A.; Levin, Aaron
8
2015
The Diophantine equation \((x^{k} - 1)(y^{k} - 1) = (z^{k} - 1)^{t}\). Zbl 1169.11015
Bennett, Michael A.
7
2007
The generalized Fermat equation. Zbl 1440.11037
Bennett, Michael; Mihăilescu, Preda; Siksek, Samir
7
2016
Perfect powers with three digits. Zbl 1372.11009
Bennett, Michael A.; Bugeaud, Yann
7
2014
The representation of integers by binary additive forms. Zbl 0889.11033
Bennett, M. A.; Dummigan, N. P.; Wooley, T. D.
6
1998
On the factorization of consecutive integers. Zbl 1223.11040
Bennett, M. A.; Filaseta, M.; Trifonov, O.
6
2009
Simultaneous approximation to pairs of algebraic numbers. Zbl 0842.11029
Bennett, Michael A.
6
1995
Rational points on Erdős-Selfridge superelliptic curves. Zbl 1407.11081
Bennett, Michael A.; Siksek, Samir
6
2016
Shifted powers in binary recurrence sequences. Zbl 1371.11081
Bennett, Michael A.; Dahmen, Sander R.; Mignotte, Maurice; Siksek, Samir
6
2015
Intersections of recurrence sequences. Zbl 1318.11095
Bennett, Michael A.; Pintér, Ákos
6
2015
Solving families of simultaneous Pell equations. Zbl 0894.11007
Bennett, Michael A.
5
1997
A conjecture of Erdős, supersingular primes and short character sums. Zbl 1440.11039
Bennett, Michael; Siksek, Samir
5
2020
On the equation \(a^3 + b^{3n} = c^2\). Zbl 1306.11025
Bennett, Michael A.; Chen, Imin; Dahmen, Sander R.; Yazdani, Soroosh
5
2014
A generalization of a theorem of Bumby on quartic Diophantine equations. Zbl 1122.11019
Bennett, Michael A.; Togbé, Alain; Walsh, P. G.
4
2006
Yet another generalization of the Ramanujan-Nagell equation. Zbl 1177.11030
Bennett, M. A.; Filaseta, M.; Trifonov, O.
4
2008
Torsion subgroups of elliptic curves in short Weierstrass form. Zbl 1136.11311
Bennett, Michael A.; Ingram, Patrick
4
2005
Bounds on sizes of generalized caps in \(\mathrm{AG} (n,q)\) via the Croot-Lev-Pach polynomial method. Zbl 1421.05027
Bennett, Michael
4
2019
Computing elliptic curves over \(\mathbb{Q}\): bad reduction at one prime. Zbl 1410.11045
Bennett, Michael A.; Rechnitzer, Andrew
4
2017
Computing elliptic curves over \(\mathbb {Q}\). Zbl 1468.11123
Bennett, Michael A.; Gherga, Adela; Rechnitzer, Andrew
4
2019
Integral points on congruent number curves. Zbl 1318.11047
Bennett, Michael A.
4
2013
Prime factors of consecutive integers. Zbl 1211.11102
Bauer, Mark; Bennett, Michael A.
4
2008
Sums of two \(S\)-units via Frey-Hellegouarch curves. Zbl 1407.11049
Bennett, Michael A.; Billerey, Nicolas
4
2017
An ideal Waring problem with restricted summands. Zbl 0793.11026
Bennett, Michael A.
3
1994
Twisted extensions of the cubic case of Fermat’s last theorem. Zbl 1273.11059
Bennett, Michael A.; Luca, Florian; Mulholland, Jamie
3
2011
The equation \(x^{2n}+y^{2n}=z^5\). Zbl 1138.11009
Bennett, Michael A.
3
2006
Powers in recurrence sequences: Pell equations. Zbl 1125.11019
Bennett, Michael A.
3
2005
Pillai’s conjecture revisited. Zbl 1045.11021
Bennett, Michael A.
3
2003
Irrationality via the hypergeometric method. Zbl 1142.11051
Bennett, Michael A.
3
2008
Counting zeros of Dirichlet \(L\)-functions. Zbl 1475.11148
Bennett, Michael A.; Martin, Greg; O’Bryant, Kevin; Rechnitzer, Andrew
3
2021
Sums of two cubes as twisted perfect powers, revisited. Zbl 1440.11036
Bennett, Michael A.; Bruni, Carmen; Freitas, Nuno
3
2018
Perfect powers with few ternary digits. Zbl 1275.11018
Bennett, Michael A.
3
2012
Effective results for restricted rational approximation to quadratic irrationals. Zbl 1306.11053
Bennett, Michael A.; Bugeaud, Yann
3
2012
Shifted powers in Lucas-Lehmer sequences. Zbl 1435.11067
Bennett, Michael A.; Patel, Vandita; Siksek, Samir
3
2019
Number theory for the millennium III. Proceedings of the millennial conference on number theory, Urbana-Champaign, IL, USA, May 21–26, 2000. Zbl 1002.00007
2
2002
Differences between perfect powers. Zbl 1151.11320
Bennett, Michael A.
2
2008
The equation \((x-d)^5+x^5+(x+d)^5=y^n\). Zbl 1475.11049
Bennett, Michael A.; Koutsianas, Angelos
2
2021
Extremal families of cubic Thue equations. Zbl 1395.11049
Bennett, Michael A.; Ghadermarzi, Amir
2
2015
A superelliptic equation involving alternating sums of powers. Zbl 1249.11049
Bennett, Michael A.
2
2011
A local version of Szpiro’s conjecture. Zbl 1294.11086
Bennett, Michael A.; Yazdani, Soroosh
2
2012
Powers from five terms in arithmetic progression. Zbl 1198.11034
Bennett, Michael A.
2
2008
Powers from products of \(k\) terms in progression: finiteness for small \(k\). Zbl 1410.11027
Bennett, Michael A.
2
2018
Differences between perfect powers: the Lebesgue-Nagell equation. Zbl 07618833
Bennett, Michael A.; Siksek, Samir
2
2023
On the Diophantine equation \(x^n+y^n=2^{\alpha} pz^2\). Zbl 1213.11079
Bennett, Michael A.; Mulholland, Jamie
1
2006
On consecutive integers of the form \(ax^2, by^2\) and \(cz^2\). Zbl 0928.11017
Bennett, Michael A.
1
1999
Solving norm form equations via lattice basis reduction. Zbl 0877.11017
Bennett, Michael A.
1
1996
Number theory for the millennium I. Proceedings of the millennial conference on number theory, Urbana-Champaign, IL, USA, May 21–26, 2000. Zbl 1002.00005
1
2002
Simultaneous quadratic equations with few or no solutions. Zbl 0993.11015
Bennett, Michael A.; Walsh, Gary
1
2000
Goormaghtigh’s equation: small parameters. Zbl 1449.11059
Bennett, Michael A.; Garbuz, Ben; Marten, Adam
1
2020
Positive rational solutions to \(x^y=y^{mx}\): a number-theoretic excursion. Zbl 1046.11019
Bennett, Michael A.; Reznick, Bruce
1
2004
The polynomial-exponential equation \(1 + 2^a + 6^b = y^q\). Zbl 1399.11098
Bennett, Michael A.
1
2017
Squares with three nonzero digits. Zbl 1414.11046
Bennett, Michael A.; Scheerer, Adrian-Maria
1
2017
Differences between perfect powers: the Lebesgue-Nagell equation. Zbl 07618833
Bennett, Michael A.; Siksek, Samir
2
2023
Odd values of the Ramanujan tau function. Zbl 1525.11034
Bennett, Michael A.; Gherga, Adela; Patel, Vandita; Siksek, Samir
8
2022
Counting zeros of Dirichlet \(L\)-functions. Zbl 1475.11148
Bennett, Michael A.; Martin, Greg; O’Bryant, Kevin; Rechnitzer, Andrew
3
2021
The equation \((x-d)^5+x^5+(x+d)^5=y^n\). Zbl 1475.11049
Bennett, Michael A.; Koutsianas, Angelos
2
2021
A conjecture of Erdős, supersingular primes and short character sums. Zbl 1440.11039
Bennett, Michael; Siksek, Samir
5
2020
Goormaghtigh’s equation: small parameters. Zbl 1449.11059
Bennett, Michael A.; Garbuz, Ben; Marten, Adam
1
2020
Bounds on sizes of generalized caps in \(\mathrm{AG} (n,q)\) via the Croot-Lev-Pach polynomial method. Zbl 1421.05027
Bennett, Michael
4
2019
Computing elliptic curves over \(\mathbb {Q}\). Zbl 1468.11123
Bennett, Michael A.; Gherga, Adela; Rechnitzer, Andrew
4
2019
Shifted powers in Lucas-Lehmer sequences. Zbl 1435.11067
Bennett, Michael A.; Patel, Vandita; Siksek, Samir
3
2019
Explicit bounds for primes in arithmetic progressions. Zbl 1440.11180
Bennett, Michael A.; Martin, Greg; O’Bryant, Kevin; Rechnitzer, Andrew
42
2018
Sums of two cubes as twisted perfect powers, revisited. Zbl 1440.11036
Bennett, Michael A.; Bruni, Carmen; Freitas, Nuno
3
2018
Powers from products of \(k\) terms in progression: finiteness for small \(k\). Zbl 1410.11027
Bennett, Michael A.
2
2018
Perfect powers that are sums of consecutive cubes. Zbl 1437.11046
Bennett, Michael A.; Patel, Vandita; Siksek, Samir
12
2017
Computing elliptic curves over \(\mathbb{Q}\): bad reduction at one prime. Zbl 1410.11045
Bennett, Michael A.; Rechnitzer, Andrew
4
2017
Sums of two \(S\)-units via Frey-Hellegouarch curves. Zbl 1407.11049
Bennett, Michael A.; Billerey, Nicolas
4
2017
The polynomial-exponential equation \(1 + 2^a + 6^b = y^q\). Zbl 1399.11098
Bennett, Michael A.
1
2017
Squares with three nonzero digits. Zbl 1414.11046
Bennett, Michael A.; Scheerer, Adrian-Maria
1
2017
Superelliptic equations arising from sums of consecutive powers. Zbl 1401.11076
Bennett, Michael A.; Patel, Vandita; Siksek, Samir
13
2016
The generalized Fermat equation. Zbl 1440.11037
Bennett, Michael; Mihăilescu, Preda; Siksek, Samir
7
2016
Rational points on Erdős-Selfridge superelliptic curves. Zbl 1407.11081
Bennett, Michael A.; Siksek, Samir
6
2016
Generalized Fermat equations: a miscellany. Zbl 1390.11065
Bennett, Michael A.; Chen, Imin; Dahmen, Sander R.; Yazdani, Soroosh
17
2015
Mordell’s equation: a classical approach. Zbl 1371.11077
Bennett, Michael A.; Ghadermarzi, Amir
10
2015
The Nagell-Ljunggren equation via Runge’s method. Zbl 1395.11060
Bennett, Michael A.; Levin, Aaron
8
2015
Shifted powers in binary recurrence sequences. Zbl 1371.11081
Bennett, Michael A.; Dahmen, Sander R.; Mignotte, Maurice; Siksek, Samir
6
2015
Intersections of recurrence sequences. Zbl 1318.11095
Bennett, Michael A.; Pintér, Ákos
6
2015
Extremal families of cubic Thue equations. Zbl 1395.11049
Bennett, Michael A.; Ghadermarzi, Amir
2
2015
Perfect powers with three digits. Zbl 1372.11009
Bennett, Michael A.; Bugeaud, Yann
7
2014
On the equation \(a^3 + b^{3n} = c^2\). Zbl 1306.11025
Bennett, Michael A.; Chen, Imin; Dahmen, Sander R.; Yazdani, Soroosh
5
2014
Klein forms and the generalized superelliptic equation. Zbl 1321.11059
Bennett, Michael A.; Dahmen, Sander R.
10
2013
Perfect powers with few binary digits and related Diophantine problems. Zbl 1303.11084
Bennett, Michael A.; Bugeaud, Yann; Mignotte, Maurice
9
2013
Integral points on congruent number curves. Zbl 1318.11047
Bennett, Michael A.
4
2013
Perfect powers with few binary digits and related Diophantine problems. II. Zbl 1291.11016
Bennett, Michael A.; Bugeaud, Yann; Mignotte, Maurice
14
2012
Multi-Frey \(\mathbb Q\)-curves and the Diophantine equation \(a^2+b^6=c^n\). Zbl 1264.11022
Bennett, Michael A.; Chen, Imin
11
2012
Squares from blocks of consecutive integers: a problem of Erdős and Graham. Zbl 1270.11026
Bennett, Michael A.; Van Luijk, Ronald
8
2012
Perfect powers with few ternary digits. Zbl 1275.11018
Bennett, Michael A.
3
2012
Effective results for restricted rational approximation to quadratic irrationals. Zbl 1306.11053
Bennett, Michael A.; Bugeaud, Yann
3
2012
A local version of Szpiro’s conjecture. Zbl 1294.11086
Bennett, Michael A.; Yazdani, Soroosh
2
2012
Twisted extensions of the cubic case of Fermat’s last theorem. Zbl 1273.11059
Bennett, Michael A.; Luca, Florian; Mulholland, Jamie
3
2011
A superelliptic equation involving alternating sums of powers. Zbl 1249.11049
Bennett, Michael A.
2
2011
The Diophantine equation \(A^4 + 2^{\delta }B^2 = C^n\). Zbl 1218.11035
Bennett, Michael A.; Ellenberg, Jordan S.; Ng, Nathan C.
31
2010
On the factorization of consecutive integers. Zbl 1223.11040
Bennett, M. A.; Filaseta, M.; Trifonov, O.
6
2009
Yet another generalization of the Ramanujan-Nagell equation. Zbl 1177.11030
Bennett, M. A.; Filaseta, M.; Trifonov, O.
4
2008
Prime factors of consecutive integers. Zbl 1211.11102
Bauer, Mark; Bennett, Michael A.
4
2008
Irrationality via the hypergeometric method. Zbl 1142.11051
Bennett, Michael A.
3
2008
Differences between perfect powers. Zbl 1151.11320
Bennett, Michael A.
2
2008
Powers from five terms in arithmetic progression. Zbl 1198.11034
Bennett, Michael A.
2
2008
On a question of Erdős and Graham. Zbl 1155.11019
Bauer, Mark; Bennett, Michael A.
13
2007
The Diophantine equation \((x^{k} - 1)(y^{k} - 1) = (z^{k} - 1)^{t}\). Zbl 1169.11015
Bennett, Michael A.
7
2007
Powers from products of consecutive terms in arithmetic progression. Zbl 1178.11033
Bennett, M. A.; Bruin, N.; Győry, K.; Hajdu, L.
24
2006
On the number of solutions of simultaneous Pell equations. II. Zbl 1165.11034
Bennett, Michael A.; Cipu, Mihai; Mignotte, Maurice; Okazaki, Ryotaro
15
2006
Binomial Thue equations and polynomial powers. Zbl 1126.11018
Bennett, M. A.; Győry, K.; Mignotte, M.; Pintér, Á.
10
2006
A generalization of a theorem of Bumby on quartic Diophantine equations. Zbl 1122.11019
Bennett, Michael A.; Togbé, Alain; Walsh, P. G.
4
2006
The equation \(x^{2n}+y^{2n}=z^5\). Zbl 1138.11009
Bennett, Michael A.
3
2006
On the Diophantine equation \(x^n+y^n=2^{\alpha} pz^2\). Zbl 1213.11079
Bennett, Michael A.; Mulholland, Jamie
1
2006
Torsion subgroups of elliptic curves in short Weierstrass form. Zbl 1136.11311
Bennett, Michael A.; Ingram, Patrick
4
2005
Powers in recurrence sequences: Pell equations. Zbl 1125.11019
Bennett, Michael A.
3
2005
Ternary Diophantine equations via Galois representations and modular forms. Zbl 1053.11025
Bennett, Michael A.; Skinner, Chris M.
90
2004
Ternary Diophantine equations of signature \((p,p,3)\). Zbl 1096.11013
Bennett, Michael A.; Vatsal, Vinayak; Yazdani, Soroosh
23
2004
On the Diophantine equation \(1^k+ 2^k+\cdots+ x^k= y^n\). Zbl 1066.11013
Bennett, Michael A.; Győry, Kálmán; Pintér, Ákos
19
2004
Products of consecutive integers. Zbl 1152.11321
Bennett, Michael A.
13
2004
Positive rational solutions to \(x^y=y^{mx}\): a number-theoretic excursion. Zbl 1046.11019
Bennett, Michael A.; Reznick, Bruce
1
2004
Pillai’s conjecture revisited. Zbl 1045.11021
Bennett, Michael A.
3
2003
Applications of the hypergeometric method to the generalized Ramanujan-Nagell equation. Zbl 1010.11020
Bauer, Mark; Bennett, Michael A.
25
2002
Lucas’ square pyramid problem revisited. Zbl 1090.11019
Bennett, Michael A.
9
2002
Number theory for the millennium III. Proceedings of the millennial conference on number theory, Urbana-Champaign, IL, USA, May 21–26, 2000. Zbl 1002.00007
2
2002
Number theory for the millennium I. Proceedings of the millennial conference on number theory, Urbana-Champaign, IL, USA, May 21–26, 2000. Zbl 1002.00005
1
2002
Rational approximation to algebraic numbers of small height: The Diophantine equation \(|ax^n-by^n|=1\). Zbl 1002.11059
Bennett, Michael A.
32
2001
On some exponential equations of S. S. Pillai. Zbl 0984.11014
Bennett, Michael A.
28
2001
On the representation of unity by binary cubic forms. Zbl 0972.11014
Bennett, Michael A.
14
2001
Simultaneous quadratic equations with few or no solutions. Zbl 0993.11015
Bennett, Michael A.; Walsh, Gary
1
2000
The Diophantine equation \(b^2X^4-dY^2=1\). Zbl 0980.11021
Bennett, Michael A.; Walsh, Gary
15
1999
On consecutive integers of the form \(ax^2, by^2\) and \(cz^2\). Zbl 0928.11017
Bennett, Michael A.
1
1999
On the number of solutions of simultaneous Pell equations. Zbl 1044.11011
Bennett, Michael A.
45
1998
On the diophantine equation \(| ax^n-by^n|=1\). Zbl 0892.11041
Bennett, Michael A.; de Weger, Benjamin M. M.
11
1998
The representation of integers by binary additive forms. Zbl 0889.11033
Bennett, M. A.; Dummigan, N. P.; Wooley, T. D.
6
1998
Effective measures of irrationality for certain algebraic numbers. Zbl 0880.11055
Bennett, Michael A.
12
1997
Explicit lower bounds for rational approximation to algebraic numbers. Zbl 0879.11038
Bennett, Michael A.
10
1997
Solving families of simultaneous Pell equations. Zbl 0894.11007
Bennett, Michael A.
5
1997
Simultaneous rational approximation to binomial functions. Zbl 0873.11042
Bennett, Michael A.
10
1996
Solving norm form equations via lattice basis reduction. Zbl 0877.11017
Bennett, Michael A.
1
1996
Simultaneous approximation to pairs of algebraic numbers. Zbl 0842.11029
Bennett, Michael A.
6
1995
An ideal Waring problem with restricted summands. Zbl 0793.11026
Bennett, Michael A.
3
1994
Fractional parts of powers of rational numbers. Zbl 0791.11030
Bennett, Michael A.
8
1993
all top 5

Cited by 424 Authors

44 Bennett, Michael A.
19 Siksek, Samir
19 Togbé, Alain
17 Le, Maohua
16 Fujita, Yasutsugu
14 Hajdu, Lajos
14 Luca, Florian
13 Bugeaud, Yann
12 Freitas, Nuno
11 Tengely, Szabolcs
10 He, Bo
10 Miyazaki, Takafumi
10 Saradha, N.
10 Terai, Nobuhiro
10 Ziegler, Volker
9 Mignotte, Maurice
9 Pintér, Ákos
9 Soydan, Gokhan
8 Laishram, Shanta
8 Patel, Vandita
7 Pink, István
6 Akhtari, Shabnam
6 Bordignon, Matteo
6 Chen, Imin
6 Fu, Ruiqin
6 Koutsianas, Angelos
6 Styer, Robert Alan
6 Walsh, Peter Gareth
6 Yang, Hai
6 Zhang, Zhongfeng
5 Cipu, Mihai
5 Dujella, Andrej
5 Filaseta, Michael A.
5 Filipin, Alan
5 Győry, Kálmán
5 Michaud-Jacobs, Philippe
5 Scott, Reese
5 Sharma, Divyum
5 Zhang, Yong
4 Billerey, Nicolas
4 Dąbrowski, Andrzej Bogdan
4 Dahmen, Sander R.
4 Das, Pranabesh
4 Dieulefait, Luis Victor
4 Gómez, Carlos Alexis
4 Jadrijević, Borka
4 Keskin, Refik
4 Shorey, Tarlok Nath
4 Ulas, Maciej
4 Wang, Tingting
3 Bazsó, András
3 Bérczes, Attila
3 Bravo, Jhon Jairo
3 Cai, Tianxin
3 Chen, Jianhua
3 Dey, Pallab Kanti
3 Draziotis, Konstantinos A.
3 Ghadermarzi, Amir
3 Gherga, Adela
3 Grundman, Helen G.
3 Heintze, Sebastian
3 Kaneko, Hajime
3 Levin, Aaron
3 Luo, Jiagui
3 Martin, Greg
3 Öğüt, Ümmügülsüm
3 Rechnitzer, Andrew Daniel
3 Skałba, Mariusz
3 Stewart, Cameron L.
3 Tijdeman, Robert
3 Tornero, José María
3 Trifonov, Ognian
3 Voutier, Paul M.
3 Vukusic, Ingrid
3 Wakabayashi, Isao
3 Xiao, Stanley Yao
3 Yuan, Pingzhi
3 Zhu, Huilin
2 Abu Muriefah, Fadwa S.
2 Amdeberhan, Tewodros
2 Argáez-García, Alejandro
2 Bajpai, Prajeet
2 Balakrishnan, Jennifer S.
2 Banerjee, Pradipto
2 Barrios, Alexander J.
2 Burness, Timothy C.
2 Chałupka, Karolina
2 Chan, Stephanie F.
2 Chim, Kwok Chi
2 Corvaja, Pietro
2 Deng, Moujie
2 Dubickas, Artūras
2 Ernvall-Hytönen, Anne-Maria
2 Francis, Forrest J.
2 Gallardo, Luis Henri
2 García-Selfa, Irene
2 Goedhart, Eva G.
2 González-Jiménez, Enrique
2 Gou, Su
2 Gun, Sanoli
...and 324 more Authors
all top 5

Cited in 121 Serials

71 Journal of Number Theory
33 International Journal of Number Theory
21 Periodica Mathematica Hungarica
20 Mathematics of Computation
18 Bulletin of the Australian Mathematical Society
18 Journal de Théorie des Nombres de Bordeaux
17 Acta Arithmetica
13 Transactions of the American Mathematical Society
11 Rocky Mountain Journal of Mathematics
11 Indagationes Mathematicae. New Series
10 Acta Mathematica Hungarica
10 The Ramanujan Journal
8 Mathematika
8 Research in Number Theory
7 Functiones et Approximatio. Commentarii Mathematici
7 Integers
6 Mathematische Annalen
5 Proceedings of the American Mathematical Society
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Canadian Journal of Mathematics
4 Compositio Mathematica
4 Glasgow Mathematical Journal
4 Monatshefte für Mathematik
4 Proceedings of the Japan Academy. Series A
4 Revista Matemática Iberoamericana
3 Indian Journal of Pure & Applied Mathematics
3 Archiv der Mathematik
3 Colloquium Mathematicum
3 Czechoslovak Mathematical Journal
3 Journal of the London Mathematical Society. Second Series
3 Journal of Pure and Applied Algebra
3 Quaestiones Mathematicae
3 Experimental Mathematics
3 Journal of Integer Sequences
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Bulletin of the Brazilian Mathematical Society. New Series
3 Algebra & Number Theory
3 Moscow Journal of Combinatorics and Number Theory
2 Mathematical Notes
2 Advances in Mathematics
2 Bulletin of the London Mathematical Society
2 Canadian Mathematical Bulletin
2 Duke Mathematical Journal
2 Journal of Algebra
2 Journal für die Reine und Angewandte Mathematik
2 Mathematica Slovaca
2 Mathematische Zeitschrift
2 Memoirs of the American Mathematical Society
2 Glasnik Matematički. Serija III
2 Finite Fields and their Applications
2 The New York Journal of Mathematics
2 Documenta Mathematica
2 Journal of Inequalities and Applications
2 Journal of the Australian Mathematical Society
2 Oberwolfach Reports
2 Bulletin of the Hellenic Mathematical Society
2 AIMS Mathematics
1 American Mathematical Monthly
1 Communications in Algebra
1 Discrete Mathematics
1 Israel Journal of Mathematics
1 The Mathematical Gazette
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Algebra and Logic
1 Annales de l’Institut Fourier
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Computation
1 International Journal of Mathematics and Mathematical Sciences
1 Inventiones Mathematicae
1 Manuscripta Mathematica
1 Mathematische Nachrichten
1 Michigan Mathematical Journal
1 Osaka Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the London Mathematical Society. Third Series
1 Theoretical Computer Science
1 Tokyo Journal of Mathematics
1 Tsukuba Journal of Mathematics
1 Chinese Annals of Mathematics. Series A
1 Bulletin of the Iranian Mathematical Society
1 Physica D
1 Boletim da Sociedade Portuguesa de Matemática
1 Journal of Symbolic Computation
1 Algorithmica
1 Publicacions Matemàtiques
1 Forum Mathematicum
1 Elemente der Mathematik
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Expositiones Mathematicae
1 Bulletin of the Polish Academy of Sciences, Mathematics
1 SUT Journal of Mathematics
1 Journal of Mathematical Sciences (New York)
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 Turkish Journal of Mathematics
1 The Journal of Artificial Intelligence Research (JAIR)
1 Journal of Difference Equations and Applications
1 Acta Mathematica et Informatica Universitatis Ostraviensis
1 Doklady Mathematics
1 Mathematical Communications
1 Theory of Computing Systems
...and 21 more Serials

Citations by Year