## Found 158 Documents (Results 1–100)

100
MathJax

### On the number of monogenizations of a quartic order (with an appendix by Shabnam Akhtari). (English)Zbl 07523953

MSC:  11R16 11D09
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### A note on power integral bases in pure quartic number fields. (English)Zbl 07479521

MSC:  11D25 11R16
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### A classical approach to a parametric family of simultaneous Pell equations with applications to a family of Thue equations. (English)Zbl 1486.11048

MSC:  11D25 11D59
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### Diagonalizable quartic Thue equations with negative discriminant. (English)Zbl 1482.11043

MSC:  11D25 11D45
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### On cubic Thue equations and the indices of algebraic integers in cubic fields. (English)Zbl 07472218

MSC:  11R04 11R16 11R09
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### Power integral bases in cubic and quartic extensions of real quadratic fields. (English)Zbl 1449.11104

MSC:  11R04 11D59 11Y50
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### Integral points on elliptic curves $$y^2 = x(x-2^m) (x+p)$$. (English)Zbl 1444.11118

MSC:  11G05 11D25 11D45
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### Simplest quartic and simplest sextic Thue equations over imaginary quadratic fields. (English)Zbl 1479.11054

MSC:  11D59 11D57
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### The index of a quartic field defined by a trinomial $$X^4 + a X + b$$. (English)Zbl 1437.11149

MSC:  11R16 11D59
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MSC:  11D25
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### Descent for the punctured universal elliptic curve, and the average number of integral points on elliptic curves. (English)Zbl 1441.11145

MSC:  11G05 11D25 11D59
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### A note on a family of quartic Thue equations with three parameters. (Chinese. English summary)Zbl 1399.11092

MSC:  11D25 11D59

### Computing elliptic curves over $$\mathbb{Q}$$: bad reduction at one prime. (English)Zbl 1410.11045

Melnik, Roderick (ed.) et al., Recent progress and modern challenges in applied mathematics, modeling and computational science. Toronto: The Fields Institute for Research in the Mathematical Sciences; New York, NY: Springer. Fields Inst. Commun. 79, 387-415 (2017).
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### A note on a parameterized family of quartic Thue equations. (English)Zbl 1390.11063

MSC:  11D25 11B37 11J68
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### Solving simultaneously Thue equations in the almost totally imaginary case. (English)Zbl 1418.11053

Murty, Vijaya Kumar (ed.) et al., Highly composite: papers in number theory. On the occasion of R. Balsubramanian’s 60th birth anniversary. Including papers from the international meeting on number theory, Harish-Chandra Research Institute, Allahabad, India, December 15–20, 2011. Mysore: Ramanujan Mathematical Society. Ramanujan Math. Soc. Lect. Notes Ser. 23, 137-156 (2016).
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### Elementary resolution of a family of quartic Thue equations over function fields. (English)Zbl 1359.11030

MSC:  11D25 11D59
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### Minimal indices of pure cubic fields. (English)Zbl 1333.11099

MSC:  11R16 11R29 11D59
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### Families of Thue equations associated with a rank 1 subgroup of totally real units of a number field. (Familles d’équations de Thue associées à un sous-groupe de rang 1 d’unités totalement réelles d’un corps de nombres.) (French. English summary)Zbl 1394.11030

Cojocaru, A. C. (ed.) et al., SCHOLAR – a scientific celebration highlighting open lines of arithmetic research. Conference in honour of M. Ram Murty’s mathematical legacy on his 60th birthday, Centre de Recherches Mathématiques, Université de Montréal, Canada, October 15–17, 2013. Providence, RI: American Mathematical Society (AMS); Montreal: Centre de Recherches Mathématiques (CRM) (ISBN 978-1-4704-1457-3/pbk; 978-1-4704-2843-3/ebook). Contemporary Mathematics 655. Centre de Recherches Mathématiques Proceedings, 117-134 (2015).
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### A family of Thue equations involving powers of units of the simplest cubic fields. (English. French summary)Zbl 1395.11059

MSC:  11D59 11D25 11J86
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### Extremal families of cubic Thue equations. (English. French summary)Zbl 1395.11049

MSC:  11D25 11E76 11J86
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### Mordell’s equation: a classical approach. (English)Zbl 1371.11077

MSC:  11D25 11G05 11Y50
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### On the simplest quartic fields and related Thue equations. (English)Zbl 1346.11029

Feng, Ruyong (ed.) et al., Computer mathematics. 9th Asian symposium, ASCM 2009, Fukuoka, Japan, December 14–17, 2009, 10th Asian symposium, ASCM 2012, Beijing, China, October 26–28, 2012. Contributed papers and invited talks. Berlin: Springer (ISBN 978-3-662-43798-8/hbk; 978-3-662-43799-5/ebook). 67-85 (2014).
MSC:  11D25 11D59 11R16
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### Families of cubic Thue equations with effective bounds for the solutions. (English)Zbl 1358.11050

Borwein, Jonathan M. (ed.) et al., Number theory and related fields. In memory of Alf van der Poorten. Based on the proceedings of the international number theory conference, Newcastle, Australia, March 12–16, 2012. New York, NY: Springer (ISBN 978-1-4614-6641-3/hbk; 978-1-4614-6642-0/ebook). Springer Proceedings in Mathematics & Statistics 43, 229-243 (2013).
MSC:  11D25 11D59
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### A method for solving families of quartic Thue inequalities. (English)Zbl 1338.11046

MSC:  11D59 11D25
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### Twin squareful numbers. (English)Zbl 1290.11011

MSC:  11B05 11D09 11D25
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### Simplifying method for algebraic approximation of certain algebraic numbers. (English. Russian original)Zbl 1319.11046

Math. Notes 92, No. 3, 383-395 (2012); translation from Mat. Zametki 92, No. 3, 426-439 (2012).
MSC:  11J68 11D25 11D59
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### Number of solutions for quartic simple Thue equations. (English)Zbl 1293.11059

MSC:  11D59 11D25 11D45
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### Power integral bases in parametric families of biquadratic fields. (English)Zbl 1345.11074

MSC:  11R16 11D59 11Y50
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### On the number of solutions of Thue equations. (English)Zbl 1287.11049

Amou, Masaaki, (ed.) et al., Diophantine analysis and related fields 2011, DARF–2011. Proceedings of the conference, Musashino, Tokyo, Japan, March 3–5, 2011. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0947-7/pbk). AIP Conference Proceedings 1385, 124-131 (2011).
MSC:  11D25 11D45 11D59
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### Powers in the Lucas sequence when the index is divisible by three. (English)Zbl 1281.11014

MSC:  11B39 11D61 11D59

### Some remarks on Diophantine equations and Diophantine approximation. (English)Zbl 1247.11041

MSC:  11D59 11J87 11D25
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### A Diophantine system and a problem on cubic fields. (English)Zbl 1235.11029

MSC:  11D25 11R27 11R16
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### On correspondence between solutions of a family of cubic Thue equations and isomorphism classes of the simplest cubic fields. (English)Zbl 1258.11054

MSC:  11D59 11D25 11R16
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### A parametric family of quartic Thue inequalities. (English)Zbl 1254.11031

MSC:  11D25 11D59 11A55
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### On the Diophantine equation $$X^2 - (1 + a^2)Y^4 = - 2a$$. (English)Zbl 1268.11044

Reviewer: Bo He (Sichuan)
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### On the Diophantine equation $$x^4-q^4 = py^3$$. (English)Zbl 1215.11027

MSC:  11D25 11D59
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### A note on the field isomorphism problem of $$X^{3}+sX+s$$ and related cubic Thue equations. (English)Zbl 1243.11047

MSC:  11D59 11R16
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### Integer points on cubic Thue equations. (English)Zbl 1207.11040

MSC:  11D25 11D59 11E76
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### A further note on “On the equation $$aX^4-bY^2=2$$”. (English)Zbl 1211.11041

MSC:  11D25 11J82 11D59
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### Addendum on the equation $$aX^4-bY^2=2$$. (English)Zbl 1207.11039

MSC:  11D25 11B37 11D59
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### Irrationality via the hypergeometric method. (English)Zbl 1142.11051

Komatsu, Takao (ed.), Diophantine analysis and related fields, DARF 2007/2008. Proceedings of the conferences, Yokohama, Japan, March 7–9, 2007 and Kyoto, Japan, March 5–7, 2008. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0495-3). AIP Conference Proceedings 976, 7-18 (2008).
MSC:  11J72 11D25 11D59
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### On a parameterized family of relative Thue equations. (English)Zbl 1135.11311

MSC:  11D25 11R11

### Number of solutions for cubic Thue equations with automorphisms. (English)Zbl 1133.11024

MSC:  11D59 11D25
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### Cubic Thue equations with automorphisms. (English)Zbl 1155.11020

Katsurada, Masanori (ed.) et al., Diophantine analysis and related fields 2006. In honor of Iekata Shiokawa. Proceedings of the conference, Keio University, Yokohama, Japan, March 7–10, 2006. Yokohama: Keio University, Department of Mathematics. Seminar on Mathematical Sciences 35, 193-202 (2006).
MSC:  11D59 11D25 11D75

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### On a certain family of quartic Thue equations with three parameters. (English)Zbl 1127.11026

MSC:  11D59 11D25 11D09
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### Thomas’s family of Thue equations over functions fields. (English)Zbl 1185.11020

MSC:  11D59 11D25
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### Complete solutions of a family of cubic Thue equations. (English)Zbl 1115.11021

MSC:  11D59 11D25
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### On a family of Thue equations over function fields. (English)Zbl 1103.11009

MSC:  11D59 11D25 11Y50
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### Solving a family of Thue equations with an application to the equation $$x^2-Dy^4=1$$. (English)Zbl 1155.11318

MSC:  11D59 11D25
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### On two-parametric family of quartic Thue equations. (English)Zbl 1162.11327

MSC:  11D59 11D25
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### An improved method for solving the family of Thue equations $$X^4-2rX^2Y^2-sY^4=1$$. (English)Zbl 1030.11009

Bennett, M. A. (ed.) et al., Number theory for the millennium III. Proceedings of the millennial conference on number theory, Urbana-Champaign, IL, USA, May 21-26, 2000. Natick, MA: A K Peters. 375-383 (2002).
MSC:  11D59 11D25 11D09

### On the number of primitive solutions of Thue equations and Thue inequalities. (English)Zbl 1065.11016

Halász, Gábor (ed.) et al., Paul Erdős and his mathematics I. Based on the conference, Budapest, Hungary, July 4–11, 1999. Berlin: Springer; Budapest: János Bolyai Mathematical Society (ISBN 3-540-42236-6/2-vol.-set; 963-8022-96-5). Bolyai Soc. Math. Stud. 11, 279-294 (2002).

### Thomas’ family of Thue equations over imaginary quadratic fields. (English)Zbl 1009.11022

MSC:  11D59 11D25 11R11
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### On families of cubic Thue equations. (English)Zbl 1049.11033

Jia, Chaohua (ed.) et al., Analytic number theory. Proceedings of the 1st China-Japan seminar on number theory, Beijing, China, September 13–17, 1999 and the annual conference on analytic number theory, Kyoto, Japan, November 29–December 3, 1999. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-0545-8/hbk). Dev. Math. 6, 359-377 (2002).

### A parametric family of quartic Thue equations. (English)Zbl 0987.11017

Reviewer: R.F.Tichy (Graz)
MSC:  11D25 11D59 11Y50
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### Computing power integral bases in quartic relative extensions. (English)Zbl 0993.11055

MSC:  11R16 11R21 11Y50
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### On the practical solution of genus zero Diophantine equations. (English)Zbl 0985.11051

MSC:  11Y50 11R21 11D59
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### $$S$$-integer points on elliptic curves, theory and practice. (English)Zbl 0973.11107

Halter-Koch, Franz (ed.) et al., Algebraic number theory and diophantine analysis. Proceedings of the international conference, Graz, Austria, August 30-September 5, 1998. Berlin: Walter de Gruyter. 351-363 (2000).
MSC:  11Y50 11D25 11G05

### On the solutions of a family of quartic Thue equations. (English)Zbl 0963.11018

MSC:  11D59 11Y50 11D25
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### Complete solution of parametrized Thue equations. (English)Zbl 1024.11017

MSC:  11D59 11Y50
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### On the fourth-powerfree part of $$x^2+2$$. (English)Zbl 0923.11174

Reviewer: I.Gaál (Debrecen)
MSC:  11Y50 11D25
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### Complete resolution of some families of diophantine equations. (English)Zbl 0916.11016

Győry, Kálmán (ed.) et al., Number theory. Diophantine, computational and algebraic aspects. Proceedings of the international conference, Eger, Hungary, July 29–August 2, 1996. Berlin: de Gruyter. 383-399 (1998).

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