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Bremner, Andrew

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Author ID: bremner.andrew Recent zbMATH articles by "Bremner, Andrew"
Published as: Bremner, A.; Bremner, Andrew
Homepage: https://math.la.asu.edu/~andrew/
External Links: MGP · dblp
Documents Indexed: 88 Publications since 1975

Publications by Year

Citations contained in zbMATH Open

60 Publications have been cited 247 times in 183 Documents Cited by Year
Integral points in arithmetic progression on \(y^2= x(x^2-n^2)\). Zbl 1009.11035
Bremner, A.; Silverman, J. H.; Tzanakis, N.
19
2000
On the equation \(Y^2=X(X^2+p)\). Zbl 0531.10014
Bremner, A.; Cassels, J. W. S.
15
1984
A geometric approach to equal sums of sixth powers. Zbl 0414.14026
Bremner, Andrew
14
1981
A geometric approach to equal sums of fifth powers. Zbl 0472.10020
Bremner, Andrew
13
1981
A Diophantine equation arising from tight 4-designs. Zbl 0417.05008
Bremner, Andrew
12
1979
On arithmetic progressions on elliptic curves. Zbl 0951.11021
Bremner, Andrew
11
1999
On power bases in cyclotomic number fields. Zbl 0637.12001
Bremner, Andrew
10
1988
On Heron triangles. Zbl 1135.11315
Bremner, Andrew
8
2006
Lucas sequences whose 12th or 9th term is a square. Zbl 1059.11015
Bremner, A.; Tzanakis, N.
7
2004
A complete determination of the zeros of weight-1 6j-coefficients. Zbl 0622.10011
Bremner, Andrew; Brudno, Simcha
7
1986
On diophantine equations and nontrivial Racah coefficients. Zbl 0622.10010
Bremner, Andrew
7
1986
Integral generators in a certain quartic field and related diophantine equations. Zbl 0585.12005
Bremner, Andrew
7
1985
Some varieties with points only in a field extension. Zbl 0532.14011
Bremner, Andrew; Lewis, D. J.; Morton, Patrick
7
1984
Triangle-rectangle pairs with a common area and a common perimeter. Zbl 1113.11032
Bremner, Andrew; Guy, Richard K.
6
2006
On square values of quadratics. Zbl 1056.11033
Bremner, Andrew
6
2003
On sums of consecutive squares. Zbl 0876.11024
Bremner, A.; Stroeker, R. J.; Tzanakis, N.
6
1997
Two-weight ternary codes and the equation \(y^2=4 \times 3^\alpha+13\). Zbl 0517.94012
Bremner, A.; Calderbank, R.; Hanlon, P.; Morton, P.; Wolfskill, J.
6
1983
Rational points in geometric progressions on certain hyperelliptic curves. Zbl 1274.11106
Bremner, Andrew; Ulas, Maciej
5
2013
On squares in Lucas sequences. Zbl 1124.11013
Bremner, A.; Tzanakis, N.
4
2007
Which integers are representable as the product of the sum of three integers with the sum of their reciprocals? Zbl 0808.11022
Bremner, Andrew; Guy, Richard K.; Nowakowski, Richard J.
4
1993
On the equation \(Y^ 2=X(X^ 2+p)\). Zbl 0689.14010
Bremner, A.
4
1989
The delta-lambda configurations in tiling the square. Zbl 0678.05013
Bremner, Andrew; Guy, Richard K.
4
1989
The integer points on three related elliptic curves. Zbl 0487.10014
Bremner, Andrew; Morton, Patrick
4
1982
Cyclic sextic trinomials \(x^6 + Ax + B\). Zbl 1245.12001
Bremner, Andrew; Spearman, Blair K.
3
2010
Lucas sequences whose \(n\)th term is a square or an almost square. Zbl 1109.11022
Bremner, A.; Tzanakis, N.
3
2007
Some special curves of genus 5. Zbl 0870.11017
Bremner, Andrew
3
1997
On sums of three cubes. Zbl 0840.11011
Bremner, Andrew
3
1995
The rational cuboid and a quartic surface. Zbl 0648.10011
Bremner, Andrew
3
1988
Pythagorean triangles and a quartic surface. Zbl 0425.10018
Bremner, A.
3
1980
Polynomial relations in characteristic p. Zbl 0391.12011
Bremner, Andrew; Morton, Patrick
3
1978
Arithmetic progressions on Edwards curves. Zbl 1285.11083
Bremner, Andrew
2
2013
On the reducibility type of trinomials. Zbl 1273.11153
Bremner, Andrew; Ulas, Maciej
2
2012
On \(x^{a} \pm y^{b} \pm z^{c} \pm w^{d} = 0\), \(1/a + 1/b + 1/c + 1/d = 1\). Zbl 1270.11027
Bremner, Andrew; Ulas, Maciej
2
2011
On squares of squares. II. Zbl 1166.11332
Bremner, Andrew
2
2001
On squares of squares. Zbl 1126.11320
Bremner, Andrew
2
1999
Three points of great height on elliptic curves. Zbl 0785.11035
Bremner, Andrew; Buell, Duncan A.
2
1993
A dozen difficult diophantine dilemmas. Zbl 0647.10017
Bremner, Andrew; Guy, Richard K.
2
1988
Some quartic curves with no points in any cubic field. Zbl 0602.14020
Bremner, Andrew
2
1986
An trinomials of type \(x^ n+Ax^{m+1}\). Zbl 0458.12012
Bremner, Andrew
2
1981
Some cubic surfaces with no rational points. Zbl 0414.14015
Bremner, Andrew
2
1978
Corrigenda: Some quartic curves with no points in any cubic field. Zbl 1408.14085
Bremner, Andrew
1
2018
An unusual cubic representation problem. Zbl 1319.11019
Bremner, Andrew; MacLeod, Allan
1
2014
On certain Diophantine equations of diagonal type. Zbl 1291.11067
Bremner, Andrew; Ulas, Maciej
1
2014
On the equation \(Y^2=X^6+k\). Zbl 1270.11029
Bremner, Andrew; Tzanakis, Nikos
1
2011
When can \((((X^2-P)^2-Q)^2-R)^2-S^2\) split into linear factors? Zbl 1211.11140
Bremner, Andrew
1
2008
On the equation \(Y^2 = X^5 + k\). Zbl 1210.11045
Bremner, Andrew
1
2008
An interesting family of curves of genus 1. Zbl 1007.11033
Bremner, Andrew
1
2000
Some interesting curves of genus 2 to 7. Zbl 0923.11095
Bremner, Andrew
1
1997
Two more representation problems. Zbl 0874.11032
Bremner, Andrew; Guy, Richard K.
1
1997
On the equation \(x^ 4+mx^ 2y^ 2+y^ 4=z^ 2\). Zbl 0822.11023
Bremner, Andrew; Jones, John W.
1
1995
Nu-configurations in tiling the square. Zbl 0761.11013
Bremner, Andrew; Guy, Richard K.
1
1992
The equation \(xyz=x+y+z=1\) in integers of a quartic field. Zbl 0686.10012
Bremner, Andrew
1
1991
Some simple elliptic surfaces of genus zero. Zbl 0762.11025
Bremner, Andrew
1
1991
On the equation \(y^ 2=x^ 3+k\) over function fields. Zbl 0689.14011
Bremner, A.
1
1989
On diagonal cubic surfaces. Zbl 0652.14019
Bremner, Andrew
1
1988
On elliptic surfaces of Mordell-Weil rank 4. Zbl 0564.14018
Bremner, Andrew
1
1986
Some complete balanced Howell rotations for an odd number of tables and the equation \(p^ m=s^ 2+4\). Zbl 0624.05017
Anderson, B. A.; Leonard, P. A.; Bremner, Andrew
1
1985
Integer points on \(y^2=x^3-7x+10\). Zbl 0554.10007
Bremner, Andrew; Tzanakis, Nicholas
1
1983
A new characterization of the integer 5906. Zbl 0516.10012
Bremner, Andrew; Morton, Patrick
1
1983
On reducibility of trinomials. Zbl 0464.12001
Bremner, Andrew
1
1981
Corrigenda: Some quartic curves with no points in any cubic field. Zbl 1408.14085
Bremner, Andrew
1
2018
An unusual cubic representation problem. Zbl 1319.11019
Bremner, Andrew; MacLeod, Allan
1
2014
On certain Diophantine equations of diagonal type. Zbl 1291.11067
Bremner, Andrew; Ulas, Maciej
1
2014
Rational points in geometric progressions on certain hyperelliptic curves. Zbl 1274.11106
Bremner, Andrew; Ulas, Maciej
5
2013
Arithmetic progressions on Edwards curves. Zbl 1285.11083
Bremner, Andrew
2
2013
On the reducibility type of trinomials. Zbl 1273.11153
Bremner, Andrew; Ulas, Maciej
2
2012
On \(x^{a} \pm y^{b} \pm z^{c} \pm w^{d} = 0\), \(1/a + 1/b + 1/c + 1/d = 1\). Zbl 1270.11027
Bremner, Andrew; Ulas, Maciej
2
2011
On the equation \(Y^2=X^6+k\). Zbl 1270.11029
Bremner, Andrew; Tzanakis, Nikos
1
2011
Cyclic sextic trinomials \(x^6 + Ax + B\). Zbl 1245.12001
Bremner, Andrew; Spearman, Blair K.
3
2010
When can \((((X^2-P)^2-Q)^2-R)^2-S^2\) split into linear factors? Zbl 1211.11140
Bremner, Andrew
1
2008
On the equation \(Y^2 = X^5 + k\). Zbl 1210.11045
Bremner, Andrew
1
2008
On squares in Lucas sequences. Zbl 1124.11013
Bremner, A.; Tzanakis, N.
4
2007
Lucas sequences whose \(n\)th term is a square or an almost square. Zbl 1109.11022
Bremner, A.; Tzanakis, N.
3
2007
On Heron triangles. Zbl 1135.11315
Bremner, Andrew
8
2006
Triangle-rectangle pairs with a common area and a common perimeter. Zbl 1113.11032
Bremner, Andrew; Guy, Richard K.
6
2006
Lucas sequences whose 12th or 9th term is a square. Zbl 1059.11015
Bremner, A.; Tzanakis, N.
7
2004
On square values of quadratics. Zbl 1056.11033
Bremner, Andrew
6
2003
On squares of squares. II. Zbl 1166.11332
Bremner, Andrew
2
2001
Integral points in arithmetic progression on \(y^2= x(x^2-n^2)\). Zbl 1009.11035
Bremner, A.; Silverman, J. H.; Tzanakis, N.
19
2000
An interesting family of curves of genus 1. Zbl 1007.11033
Bremner, Andrew
1
2000
On arithmetic progressions on elliptic curves. Zbl 0951.11021
Bremner, Andrew
11
1999
On squares of squares. Zbl 1126.11320
Bremner, Andrew
2
1999
On sums of consecutive squares. Zbl 0876.11024
Bremner, A.; Stroeker, R. J.; Tzanakis, N.
6
1997
Some special curves of genus 5. Zbl 0870.11017
Bremner, Andrew
3
1997
Some interesting curves of genus 2 to 7. Zbl 0923.11095
Bremner, Andrew
1
1997
Two more representation problems. Zbl 0874.11032
Bremner, Andrew; Guy, Richard K.
1
1997
On sums of three cubes. Zbl 0840.11011
Bremner, Andrew
3
1995
On the equation \(x^ 4+mx^ 2y^ 2+y^ 4=z^ 2\). Zbl 0822.11023
Bremner, Andrew; Jones, John W.
1
1995
Which integers are representable as the product of the sum of three integers with the sum of their reciprocals? Zbl 0808.11022
Bremner, Andrew; Guy, Richard K.; Nowakowski, Richard J.
4
1993
Three points of great height on elliptic curves. Zbl 0785.11035
Bremner, Andrew; Buell, Duncan A.
2
1993
Nu-configurations in tiling the square. Zbl 0761.11013
Bremner, Andrew; Guy, Richard K.
1
1992
The equation \(xyz=x+y+z=1\) in integers of a quartic field. Zbl 0686.10012
Bremner, Andrew
1
1991
Some simple elliptic surfaces of genus zero. Zbl 0762.11025
Bremner, Andrew
1
1991
On the equation \(Y^ 2=X(X^ 2+p)\). Zbl 0689.14010
Bremner, A.
4
1989
The delta-lambda configurations in tiling the square. Zbl 0678.05013
Bremner, Andrew; Guy, Richard K.
4
1989
On the equation \(y^ 2=x^ 3+k\) over function fields. Zbl 0689.14011
Bremner, A.
1
1989
On power bases in cyclotomic number fields. Zbl 0637.12001
Bremner, Andrew
10
1988
The rational cuboid and a quartic surface. Zbl 0648.10011
Bremner, Andrew
3
1988
A dozen difficult diophantine dilemmas. Zbl 0647.10017
Bremner, Andrew; Guy, Richard K.
2
1988
On diagonal cubic surfaces. Zbl 0652.14019
Bremner, Andrew
1
1988
A complete determination of the zeros of weight-1 6j-coefficients. Zbl 0622.10011
Bremner, Andrew; Brudno, Simcha
7
1986
On diophantine equations and nontrivial Racah coefficients. Zbl 0622.10010
Bremner, Andrew
7
1986
Some quartic curves with no points in any cubic field. Zbl 0602.14020
Bremner, Andrew
2
1986
On elliptic surfaces of Mordell-Weil rank 4. Zbl 0564.14018
Bremner, Andrew
1
1986
Integral generators in a certain quartic field and related diophantine equations. Zbl 0585.12005
Bremner, Andrew
7
1985
Some complete balanced Howell rotations for an odd number of tables and the equation \(p^ m=s^ 2+4\). Zbl 0624.05017
Anderson, B. A.; Leonard, P. A.; Bremner, Andrew
1
1985
On the equation \(Y^2=X(X^2+p)\). Zbl 0531.10014
Bremner, A.; Cassels, J. W. S.
15
1984
Some varieties with points only in a field extension. Zbl 0532.14011
Bremner, Andrew; Lewis, D. J.; Morton, Patrick
7
1984
Two-weight ternary codes and the equation \(y^2=4 \times 3^\alpha+13\). Zbl 0517.94012
Bremner, A.; Calderbank, R.; Hanlon, P.; Morton, P.; Wolfskill, J.
6
1983
Integer points on \(y^2=x^3-7x+10\). Zbl 0554.10007
Bremner, Andrew; Tzanakis, Nicholas
1
1983
A new characterization of the integer 5906. Zbl 0516.10012
Bremner, Andrew; Morton, Patrick
1
1983
The integer points on three related elliptic curves. Zbl 0487.10014
Bremner, Andrew; Morton, Patrick
4
1982
A geometric approach to equal sums of sixth powers. Zbl 0414.14026
Bremner, Andrew
14
1981
A geometric approach to equal sums of fifth powers. Zbl 0472.10020
Bremner, Andrew
13
1981
An trinomials of type \(x^ n+Ax^{m+1}\). Zbl 0458.12012
Bremner, Andrew
2
1981
On reducibility of trinomials. Zbl 0464.12001
Bremner, Andrew
1
1981
Pythagorean triangles and a quartic surface. Zbl 0425.10018
Bremner, A.
3
1980
A Diophantine equation arising from tight 4-designs. Zbl 0417.05008
Bremner, Andrew
12
1979
Polynomial relations in characteristic p. Zbl 0391.12011
Bremner, Andrew; Morton, Patrick
3
1978
Some cubic surfaces with no rational points. Zbl 0414.14015
Bremner, Andrew
2
1978
all top 5

Cited by 218 Authors

23 Bremner, Andrew
10 Choudhry, Ajai
10 Tzanakis, Nikos
7 Ulas, Maciej
6 Stroeker, Roelof J.
5 Robertson, Leanne
4 Guy, Richard Kenneth
4 Ingram, Patrick
4 Ziegler, Volker
3 Bennett, Michael A.
3 Izadi, Farzali A.
3 Karaatli, Olcay
3 Moody, Dustin
3 Morton, Patrick
3 Sadek, Mohammad
3 Vidaux, Xavier
3 Wolfskill, John
2 Badr, Eslam E.
2 Baghalaghdam, Mehdi
2 Calderbank, Arthur Robert
2 Campbell, Garikai
2 Cassels, J. W. S.
2 Everest, Graham Robert
2 González-Jiménez, Enrique
2 Hajdu, Lajos
2 Hirakawa, Yoshinosuke
2 Ionin, Yury J.
2 Juyal, Abhishek
2 Kageyama, Sanpei
2 Keskin, Refik
2 Kuwata, Masato
2 Lalín, Matilde N.
2 Luca, Florian
2 MacLeod, Allan J.
2 Nguyen Ngoc Dong Quan
2 Pasten, Hector V.
2 Reynya, M. A.
2 Shrikhande, Mohan S.
2 Spearman, Blair Kenneth
2 Van der Jeugt, Joris
2 Zargar, Arman Shamsi
1 Altmann, Anna
1 Amdeberhan, Tewodros
1 Artebani, Michela
1 Awtrey, Chad
1 Bachoc, Christine
1 Bannai, Eiichi
1 Bannai, Etsuko
1 Bars Cortina, Francesc
1 Batra, Anjula
1 Beals, Robert M.
1 Beck, Michael Till
1 Bérczes, Attila
1 Berry, Thomas G.
1 Bertók, Csanád
1 Bogomolov, Fedor Alekseivich
1 Bondarenko, Andriy V.
1 Booker, Andrew R.
1 Borchert, Bernd
1 Borwein, Peter Benjamin
1 Boyer, Christian
1 Brady, James Thomas
1 Brown, Stephen C.
1 Browning, Timothy Daniel
1 Brudno, Simcha
1 Buell, Duncan A.
1 Chen, Yonggao
1 Creutz, Brendan
1 Cryan, Sam
1 Dąbrowski, Andrzej Bogdan
1 Das, Pradeep
1 De Zeeuw, Frank
1 DeLong, Matt
1 Dey, Pallab Kanti
1 Dofs, Erik
1 Draziotis, Konstantinos A.
1 Drungilas, Paulius
1 Dubickas, Artūras
1 Dujella, Andrej
1 Dukes, Peter James
1 Fisher, Tom A.
1 Flammenkamp, Achim
1 Flynn, Eugene Victor
1 Fu, Ruiqin
1 Gaál, István
1 Garcia-Fritz, Natalia
1 García-Selfa, Irene
1 Ghadermarzi, Amir
1 Goto, Takeshi
1 Grabner, Peter J.
1 Greaves, George
1 Grundman, Helen G.
1 Guo, Shuguang
1 Gupta, Rajiv
1 Gusić, Ivica
1 Győry, Kálmán
1 Hall-Seelig, L. L.
1 Hanlon, Phil
1 Hazama, Fumio
1 He, Bo
...and 118 more Authors
all top 5

Cited in 59 Serials

43 Journal of Number Theory
24 Rocky Mountain Journal of Mathematics
14 Mathematics of Computation
14 International Journal of Number Theory
5 Journal of Mathematical Physics
5 Acta Arithmetica
4 Periodica Mathematica Hungarica
3 Bulletin of the Australian Mathematical Society
3 Functiones et Approximatio. Commentarii Mathematici
3 Journal of Combinatorial Theory. Series A
3 Manuscripta Mathematica
3 Acta Mathematica Hungarica
3 Linear Algebra and its Applications
2 Mathematische Zeitschrift
2 Proceedings of the American Mathematical Society
2 Proceedings of the Japan Academy. Series A
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Journal of Algebraic Combinatorics
2 Journal de Théorie des Nombres de Bordeaux
2 Integers
2 Journal of Algebra and its Applications
1 Discrete Mathematics
1 Israel Journal of Mathematics
1 The Mathematical Intelligencer
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Archiv der Mathematik
1 Canadian Mathematical Bulletin
1 Compositio Mathematica
1 Duke Mathematical Journal
1 Geometriae Dedicata
1 Glasgow Mathematical Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Inventiones Mathematicae
1 Journal of Algebra
1 Journal of Combinatorial Theory. Series B
1 Journal of Pure and Applied Algebra
1 Journal of Statistical Planning and Inference
1 Mathematika
1 Monatshefte für Mathematik
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the London Mathematical Society. Third Series
1 Rendiconti del Seminario Matematico della Università di Padova
1 Transactions of the American Mathematical Society
1 Science in China. Series A
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Expositiones Mathematicae
1 Indagationes Mathematicae. New Series
1 Experimental Mathematics
1 Journal of Mathematical Sciences (New York)
1 The Ramanujan Journal
1 Journal of Inequalities and Applications
1 LMS Journal of Computation and Mathematics
1 Forum Geometricorum
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Central European Journal of Mathematics
1 Oberwolfach Reports
1 Proceedings of the Steklov Institute of Mathematics
1 Science China. Mathematics
1 Research in Number Theory

Citations by Year