Bremner, Andrew; Soydan, Gökhan Integers of a quadratic field with prescribed sum and product. (English) Zbl 07763129 Colloq. Math. 173, No. 1, 25-39 (2023). MSC: 11D25 11G05 11R11 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{G. Soydan}, Colloq. Math. 173, No. 1, 25--39 (2023; Zbl 07763129) Full Text: DOI
Bremner, Andrew; Nguyen Xuan Tho On Fermat quartics \(x^4+y^4 = Dz^4\) over cubic fields. (English) Zbl 07683780 Acta Arith. 207, No. 3, 217-234 (2023). Reviewer: István Gaál (Debrecen) MSC: 11D25 11R16 14G05 14G25 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{Nguyen Xuan Tho}, Acta Arith. 207, No. 3, 217--234 (2023; Zbl 07683780) Full Text: DOI
Bremner, Andrew; Choudhry, Ajai The Fermat cubic and quartic curves over cyclic fields. (English) Zbl 1474.14041 Period. Math. Hung. 80, No. 2, 147-157 (2020). MSC: 14G25 11D25 11G05 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{A. Choudhry}, Period. Math. Hung. 80, No. 2, 147--157 (2020; Zbl 1474.14041) Full Text: DOI
Bremner, Andrew; Nguyen Xuan Tho An interesting quartic surface, everywhere locally solvable, with cubic point but no global point. (English) Zbl 1413.11084 Publ. Math. Debr. 93, No. 1-2, 253-260 (2018). Reviewer: Jan-Hendrik Evertse (Leiden) MSC: 11G35 11D25 14G05 14G25 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{Nguyen Xuan Tho}, Publ. Math. Debr. 93, No. 1--2, 253--260 (2018; Zbl 1413.11084) Full Text: DOI
Bremner, Andrew; Nguyen Xuan Tho The equation \((w+x+y+z)(1/w+1/x+1/y+1/z) = n\). (English) Zbl 1428.11057 Int. J. Number Theory 14, No. 5, 1229-1246 (2018). MSC: 11D25 11G05 11D85 14G05 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{Nguyen Xuan Tho}, Int. J. Number Theory 14, No. 5, 1229--1246 (2018; Zbl 1428.11057) Full Text: DOI Backlinks: MO
Bremner, Andrew Corrigenda: Some quartic curves with no points in any cubic field. (English) Zbl 1408.14085 Proc. Lond. Math. Soc. (3) 116, No. 4, 1028 (2018). MSC: 14G05 11D25 14H25 PDFBibTeX XMLCite \textit{A. Bremner}, Proc. Lond. Math. Soc. (3) 116, No. 4, 1028 (2018; Zbl 1408.14085) Full Text: DOI
Bremner, Andrew; Ulas, Maciej On representing coordinates of points on elliptic curves by quadratic forms. (English) Zbl 1435.11064 Acta Arith. 179, No. 1, 55-78 (2017). Reviewer: Bartosz Naskrecki (Poznań) MSC: 11D25 11D41 11E16 11G05 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{M. Ulas}, Acta Arith. 179, No. 1, 55--78 (2017; Zbl 1435.11064) Full Text: DOI arXiv
Bremner, Andrew; Carrillo, Benjamin On \(K\)-derived quartics. (English) Zbl 1396.11055 J. Number Theory 168, 276-291 (2016). MSC: 11D25 11D41 11G05 11G30 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{B. Carrillo}, J. Number Theory 168, 276--291 (2016; Zbl 1396.11055) Full Text: DOI
Bremner, Andrew; Ulas, Maciej Points at rational distances from the vertices of certain geometric objects. (English) Zbl 1400.11085 J. Number Theory 158, 104-133 (2016). MSC: 11D25 11G35 14G05 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{M. Ulas}, J. Number Theory 158, 104--133 (2016; Zbl 1400.11085) Full Text: DOI arXiv
Bremner, Andrew; MacLeod, Allan An unusual cubic representation problem. (English) Zbl 1319.11019 Ann. Math. Inform. 43, 29-41 (2014). MSC: 11D25 11G05 11Y50 14G05 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{A. MacLeod}, Ann. Math. Inform. 43, 29--41 (2014; Zbl 1319.11019) Full Text: Link
Bremner, Andrew; Ulas, Maciej On certain Diophantine equations of diagonal type. (English) Zbl 1291.11067 J. Number Theory 136, 46-64 (2014). MSC: 11D41 11D45 11G05 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{M. Ulas}, J. Number Theory 136, 46--64 (2014; Zbl 1291.11067) Full Text: DOI arXiv
Bremner, Andrew A problem of Ozanam. (English) Zbl 1194.11037 Proc. Edinb. Math. Soc., II. Ser. 52, No. 1, 37-44 (2009). Reviewer: Ahmet Tekcan (Bursa) MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{A. Bremner}, Proc. Edinb. Math. Soc., II. Ser. 52, No. 1, 37--44 (2009; Zbl 1194.11037) Full Text: DOI
Bremner, A.; Høibakk, R.; Lukkassen, D. Crossed ladders and Euler’s quartic. (English) Zbl 1212.11050 Ann. Math. Inform. 36, 29-41 (2009). MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{A. Bremner} et al., Ann. Math. Inform. 36, 29--41 (2008; Zbl 1212.11050) Full Text: EuDML
Bremner, Andrew On the equation \(Y^2 = X^5 + k\). (English) Zbl 1210.11045 Exp. Math. 17, No. 3, 371-374 (2008). MSC: 11D41 11D25 11G05 11G30 PDFBibTeX XMLCite \textit{A. Bremner}, Exp. Math. 17, No. 3, 371--374 (2008; Zbl 1210.11045) Full Text: DOI Euclid
Bremner, Andrew; Tzanakis, Nikos Lucas sequences whose 8th term is a square. arXiv:math/0408371 Preprint, arXiv:math/0408371 [math.NT] (2004). MSC: 11B39 11G05 11D25 BibTeX Cite \textit{A. Bremner} and \textit{N. Tzanakis}, ``Lucas sequences whose 8th term is a square'', Preprint, arXiv:math/0408371 [math.NT] (2004) Full Text: arXiv
Bremner, Andrew On squares of squares. II. (English) Zbl 1166.11332 Acta Arith. 99, No. 3, 289-308 (2001). MSC: 11G05 11D25 14G25 PDFBibTeX XMLCite \textit{A. Bremner}, Acta Arith. 99, No. 3, 289--308 (2001; Zbl 1166.11332) Full Text: DOI EuDML
Bremner, Andrew On squares of squares. (English) Zbl 1126.11320 Acta Arith. 88, No. 3, 289-297 (1999). Reviewer: David A. Clark (MR1683635) MSC: 11G05 11D25 11A99 PDFBibTeX XMLCite \textit{A. Bremner}, Acta Arith. 88, No. 3, 289--297 (1999; Zbl 1126.11320) Full Text: DOI EuDML
Bremner, A.; Stroeker, R. J.; Tzanakis, N. On sums of consecutive squares. (English) Zbl 0876.11024 J. Number Theory 62, No. 1, 39-70, NT972040 (1997). Reviewer: H.G.Zimmer (Saarbrücken) MSC: 11G05 11D25 14H52 11-04 PDFBibTeX XMLCite \textit{A. Bremner} et al., J. Number Theory 62, No. 1, 39--70, NT972040 (1997; Zbl 0876.11024) Full Text: DOI Link
Bremner, Andrew; Guy, Richard K. Two more representation problems. (English) Zbl 0874.11032 Proc. Edinb. Math. Soc., II. Ser. 40, No. 1, 1-17 (1997). Reviewer: E.J.Barbeau (Toronto) MSC: 11D25 11G05 11Y70 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{R. K. Guy}, Proc. Edinb. Math. Soc., II. Ser. 40, No. 1, 1--17 (1997; Zbl 0874.11032) Full Text: DOI
Bremner, Andrew Some special curves of genus 5. (English) Zbl 0870.11017 Acta Arith. 79, No. 1, 41-51 (1997). Reviewer: D.Poulakis (Thessaloniki) MSC: 11D25 14G05 11G05 11G30 14G25 PDFBibTeX XMLCite \textit{A. Bremner}, Acta Arith. 79, No. 1, 41--51 (1997; Zbl 0870.11017) Full Text: DOI EuDML
Bremner, Andrew; Jones, John W. On the equation \(x^ 4+mx^ 2y^ 2+y^ 4=z^ 2\). (English) Zbl 0822.11023 J. Number Theory 50, No. 2, 286-298 (1995). Reviewer: D.Poulakis (Thessaloniki) MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{J. W. Jones}, J. Number Theory 50, No. 2, 286--298 (1995; Zbl 0822.11023) Full Text: DOI
Bremner, Andrew; Guy, Richard K.; Nowakowski, Richard J. Which integers are representable as the product of the sum of three integers with the sum of their reciprocals? (English) Zbl 0808.11022 Math. Comput. 61, No. 203, 117-130 (1993). Reviewer: Jakob Top (Groningen) MSC: 11D25 11G05 11Y50 PDFBibTeX XMLCite \textit{A. Bremner} et al., Math. Comput. 61, No. 203, 117--130 (1993; Zbl 0808.11022) Full Text: DOI
Bremner, Andrew; Buell, Duncan A. Three points of great height on elliptic curves. (English) Zbl 0785.11035 Math. Comput. 61, No. 203, 111-115 (1993). Reviewer: E. Nart (Barcelona) MSC: 11G05 14H52 11-04 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{D. A. Buell}, Math. Comput. 61, No. 203, 111--115 (1993; Zbl 0785.11035) Full Text: DOI
Bremner, Andrew; Guy, Richard K. Nu-configurations in tiling the square. (English) Zbl 0761.11013 Math. Comput. 59, No. 199, 195-202, S1-S20 (1992). MSC: 11D25 11G05 11Y50 05B45 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{R. K. Guy}, Math. Comput. 59, No. 199, 195--202, S1--S20 (1992; Zbl 0761.11013) Full Text: DOI
Bremner, Andrew Some simple elliptic surfaces of genus zero. (English) Zbl 0762.11025 Manuscr. Math. 73, No. 1, 5-37 (1991). Reviewer: P.Vojta (Berkeley) MSC: 11G05 11D25 14G25 14H45 14J25 14G05 PDFBibTeX XMLCite \textit{A. Bremner}, Manuscr. Math. 73, No. 1, 5--37 (1991; Zbl 0762.11025) Full Text: DOI EuDML
Bremner, Andrew The equation \(xyz=x+y+z=1\) in integers of a quartic field. (English) Zbl 0686.10012 Acta Arith. 57, No. 4, 375-385 (1991). Reviewer: A. Bremner MSC: 11D57 11R16 11G05 PDFBibTeX XMLCite \textit{A. Bremner}, Acta Arith. 57, No. 4, 375--385 (1991; Zbl 0686.10012) Full Text: DOI
Bremner, A. On the equation \(y^ 2=x^ 3+k\) over function fields. (English) Zbl 0689.14011 Number theory and applications, Proc. NATO ASI, Banff/Can. 1988, NATO ASI Ser., Ser. C 265, 23-26 (1989). Reviewer: J.Top MSC: 14H45 14J25 11D25 14H52 14G05 14G25 PDFBibTeX XML
Bremner, Andrew The equation \(xyz=x+y+z=1\) in integers of a cubic field. (English) Zbl 0686.10011 Manuscr. Math. 65, No. 4, 479-487 (1989). MSC: 11D57 11R16 14H52 11D25 11R27 14G25 PDFBibTeX XMLCite \textit{A. Bremner}, Manuscr. Math. 65, No. 4, 479--487 (1989; Zbl 0686.10011) Full Text: DOI EuDML
Bremner, Andrew On diagonal cubic surfaces. (English) Zbl 0652.14019 Manuscr. Math. 62, No. 1, 21-32 (1988). Reviewer: Joseph H. Silverman (Providence) MSC: 11D25 11D72 11G35 14G25 14J20 PDFBibTeX XMLCite \textit{A. Bremner}, Manuscr. Math. 62, No. 1, 21--32 (1988; Zbl 0652.14019) Full Text: DOI EuDML
Bremner, Andrew; Brudno, Simcha A complete determination of the zeros of weight-1 6j-coefficients. (English) Zbl 0622.10011 J. Math. Phys. 27, 2613-2615 (1986). Reviewer: Bernd Richter (Berlin) MSC: 11D25 14G05 22E70 14J20 14J30 14J35 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{S. Brudno}, J. Math. Phys. 27, 2613--2615 (1986; Zbl 0622.10011) Full Text: DOI
Bremner, Andrew On diophantine equations and nontrivial Racah coefficients. (English) Zbl 0622.10010 J. Math. Phys. 27, 1181-1184 (1986). MSC: 11D25 14G05 81R10 14J20 14J30 14J35 PDFBibTeX XMLCite \textit{A. Bremner}, J. Math. Phys. 27, 1181--1184 (1986; Zbl 0622.10010) Full Text: DOI
Bremner, Andrew Some quartic curves with no points in any cubic field. (English) Zbl 0602.14020 Proc. Lond. Math. Soc. (3) 52, 193-214 (1986); corrigendum ibid. 116, No. 4, 1028 (2018). Reviewer: Gerd Faltings (Bonn) MSC: 14G05 11D25 14H25 PDFBibTeX XMLCite \textit{A. Bremner}, Proc. Lond. Math. Soc. (3) 52, 193--214 (1986; Zbl 0602.14020) Full Text: DOI
Bremner, Andrew Algebraic points on quartic curves over function fields. (English) Zbl 0581.14015 Glasg. Math. J. 26, 187-190 (1985). Reviewer: David Goss (Columbus/Ohio) MSC: 14G25 14H25 11D25 PDFBibTeX XMLCite \textit{A. Bremner}, Glasg. Math. J. 26, 187--190 (1985; Zbl 0581.14015) Full Text: DOI
Bremner, Andrew; Lewis, D. J.; Morton, Patrick Some varieties with points only in a field extension. (English) Zbl 0532.14011 Arch. Math. 43, 344-350 (1984). Reviewer: Andrew Bremner MSC: 14G25 14H25 11D25 PDFBibTeX XMLCite \textit{A. Bremner} et al., Arch. Math. 43, 344--350 (1984; Zbl 0532.14011) Full Text: DOI
Bremner, A.; Cassels, J. W. S. On the equation \(Y^2=X(X^2+p)\). (English) Zbl 0531.10014 Math. Comput. 42, 247-264 (1984). Reviewer: R.J.Stroeker MSC: 11G05 11D25 11Y50 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{J. W. S. Cassels}, Math. Comput. 42, 247--264 (1984; Zbl 0531.10014) Full Text: DOI
Bremner, Andrew; Tzanakis, Nicholas Integer points on \(y^2=x^3-7x+10\). (English) Zbl 0554.10007 Math. Comput. 41, 731-741 (1983). Reviewer: R. P. Steiner MSC: 11D25 11G05 11D59 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{N. Tzanakis}, Math. Comput. 41, 731--741 (1983; Zbl 0554.10007) Full Text: DOI
Bremner, Andrew; Morton, Patrick A new characterization of the integer 5906. (English) Zbl 0516.10012 Manuscr. Math. 44, 187-229 (1983). Reviewer: Franz Halter-Koch (Graz) MSC: 11D25 11R18 11R29 14H45 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{P. Morton}, Manuscr. Math. 44, 187--229 (1983; Zbl 0516.10012) Full Text: DOI EuDML
Bremner, Andrew Some cubic surfaces with no rational points. (English) Zbl 0414.14015 Math. Proc. Camb. Philos. Soc. 84, 219-223 (1978). MSC: 14G25 11R16 14J25 14A25 PDFBibTeX XMLCite \textit{A. Bremner}, Math. Proc. Camb. Philos. Soc. 84, 219--223 (1978; Zbl 0414.14015) Full Text: DOI