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Camara, Moustapha; Fall, Moussa; Sall, Oumar

Parametrization of algebraic points of low degree on the hyperelliptic curves \(y^2=x(x^2-n^2)(x^2-4n^2)\). (English) Zbl 07918831

Seck, Diaraf (ed.) et al., Nonlinear analysis, geometry and applications. Proceedings of the third NLAGA-BIRS symposium, AIMS-Mbour, Senegal, August 21–27, 2023. Cham: Birkhäuser. Trends Math., 341-351 (2024).

MSC: 14H50 11D41 11G05 14C20 14C17

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Sow, El Hadji; Fall, Moussa; Sall, Oumar

Algebraic points on the genus 2 curve \(\mathcal{C}:y^2=5(1-x^5)\). (English) Zbl 1538.14011

J. Contemp. Appl. Math. 14, No. 1, 28-32 (2024).

MSC: 14H50 14H40 11D68

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Balde, Boubacar Sidy; Sall, Oumar

Algebraic points on the curve of affine equation \(y^2 = x(x-3)(x-4)(x-6)(x-7)\). (English) Zbl 1538.14005

Afr. Mat. 35, No. 1, Paper No. 5, 9 p. (2024).

MSC: 14H50 14H40 11D68

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Balde, Boubacar Sidy; Sall, Oumar

Algebraic points of degree at most 3 on the affine equation curve \(\mathcal{C}_3(11):y^{11}=x^3(x-1)^3\). (Points algébriques de degré au plus 3 sur la courbe d’équation affine \(\mathcal{C}_3(11):y^{11}=x^3(x-1)^3\).) (French. English summary) Zbl 07869702

Afr. Math. Ann. (AFMA) 10, 183-188 (2023).

MSC: 14H50 14H40 11D68

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Balde, Boubacar Sidy; Sall, Oumar

Algebraic points of degree at most 4 on the affine equation curve \(y^2=x(x-3)(x-4)(x-6)(x-7)\). (Points algébriques de degré au plus 4 sur la courbe d’équation affine \(y^2=x(x-3)(x-4)(x-6)(x-7)\).) (French. English summary) Zbl 07869701

Afr. Math. Ann. (AFMA) 10, 175-182 (2023).

MSC: 14H50 14H40 11D68

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Diallo, Mohamadou Mor Diogou; Coly, Cherif Mamina; Sall, Oumar

Algebraic points of the family of superelliptic curves of Tomasz Jdrzȩjak for a given degree. (English) Zbl 07835773

JP J. Geom. Topol. 29, No. 2, 167-172 (2023).

MSC: 14L40 11D68 14C20

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Fall, Moussa; Camara, Moustapha; Sall, Oumar

Algebraic points of degree at most 14 on the Fermat septic. (English) Zbl 07816073

J. Niger. Math. Soc. 42, No. 2, 96-110 (2023).

MSC: 14H50 11D41 11G05 14C20 14C17

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Camara, Moustapha; Fall, Moussa; Sall, Oumar

Algebraic points of degree at most 2 on the affine curves \(x^p + y^{pq} = 1\). (English) Zbl 1538.14006

JP J. Algebra Number Theory Appl. 61, No. 2, 109-115 (2023).

MSC: 14H50 14G05 12F05 14A10 11R18

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Sow, El Hadji; Fall, Moussa; Sall, Oumar

Algebraic points of given degree on the affine curve \(C: y^2 = x^5 + 16\). (English) Zbl 1538.14010

JP J. Algebra Number Theory Appl. 60, No. 2, 59-68 (2023).

MSC: 14H50 14H40 11D68 12F05

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Camara, Moustapha; Fall, Moussa; Sall, Oumar

Algebraic points on the hyperelliptic curves \(y^2 = x^5 + n^2\). (English) Zbl 1517.14021

Ann. Univ. Paedagog. Crac., Stud. Math. 385(22), 21-31 (2023).

MSC: 14H50 14H40 11D41 11G30 12F05 14G25

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Sow, El Hadji; Fall, Moussa; Sall, Oumar

Parametrization of algebraic points of low degrees on the Hindry-Silverman curve. (English) Zbl 1524.14050

J. Contemp. Appl. Math. 13, No. 1, 64-70 (2023).

MSC: 14G05 14H40 14C20

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Sarr, Pape Modou; Sow, El Hadji; Fall, Moussa; Sall, Oumar

Algebraic points of any degree on the affine curve \(y 2 = x(x 2 + 1)(x 2 + 3)\). (English) Zbl 1531.11061

Seck, Diaraf (ed.) et al., Nonlinear analysis, geometry and applications. Proceedings of the second NLAGA-BIRS symposium, Cap Skirring, Senegal, January 25–30, 2022. Cham: Springer. Trends Math., 517-525 (2022).

MSC: 11G30 14G05

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Coly, Chérif Mamina; Sall, Oumar

Algebraic points of degree at most 3 on the curve with affine equation \(y^{11}=x^2(x-1)^2\). (Points algébriques de degré au-plus 3 sur la courbe d’équation affine \(y^{11}=x^2(x-1)^2\).) (French. English summary) Zbl 1458.11103

Afr. Math. Ann. (AFMA) 8, 47-52 (2020).

MSC: 11G30 14G25 14H25 14G05

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Coly, Chérif Mamina; Sall, Oumar

Algebraic points of degree at most 2 on the affine curve \(y^{11} = x^2 (x - 1)^2\). (English) Zbl 1460.14058

Seck, Diaraf (ed.) et al., Nonlinear analysis, geometry and applications. Proceedings of the first biennial international research symposium, NLAGA-BIRS, Dakar, Senegal, June 24–28, 2019. Cham: Birkhäuser. Trends Math., 459-462 (2020).

MSC: 14G25 14H25 11G30

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Fall, Moussa; Sall, Oumar

Algebraic points of small degrees on the curve given by affine equation \(y^2=x^5+1\). (Points algébriques de petits degrés sur la courbe d’équation affine \(y^{2}=x^{5}+1\).) (French. English summary) Zbl 1405.11036

Afr. Mat. 29, No. 7-8, 1151-1157 (2018).

MSC: 11D68 11G30 14G05 14H25 14H40 14H50

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Sall, Oumar; Fall, Moussa; Top, Thieyacine

Algebraic points of small degrees on curves \(\mathcal C_n\) given by affine equations \(y^{3n}=x(x-1)(x-3)\). (Points algébriques de petits degrés sur les courbes \(\mathcal C_n\) d’équations affines \(y^{3n}=x(x-1)(x-3)\).) (French. English summary) Zbl 1414.11073

Afr. Math. Ann. (AFMA) 5, 25-28 (2015).

MSC: 11G05 11R04 14H45

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Top, Thiéyacine; Sall, Oumar

Algebraic points of degree at most 12 on Fermat’s quintic. (Points algébriques de degrés au plus 12 sur la quintique de Fermat.) (English) Zbl 1346.11038

Acta Arith. 169, No. 4, 385-395 (2015).

Reviewer: Dimitros Poulakis (Thessaloniki)

MSC: 11G30 14H25 14H45

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Sall, Oumar; Top, Thiéyacine; Fall, Moussa

Parameterization of algebraic points of a given degree on the curve of the affine equation \(y^3=x(x - 1)(x - 2)(x - 3)\). (Paramétrisation des points algébriques de degré donné sur la courbe d’équation affine \(y^3=x(x - 1)(x - 2)(x - 3)\).) (French) Zbl 1218.11066

C. R., Math., Acad. Sci. Paris 348, No. 21-22, 1147-1150 (2010).

Reviewer: Vasyl I. Andriychuk (Lviv)

MSC: 11G30 14G25 14H25 14H45

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Sall, O.

Algebraic points on some Fermat curves and some quotients of Fermat curves: progress. (English) Zbl 1213.11133

Afr. J. Math. Phys. 8, No. 1, 79-83, Article No. 1008 (2010).

Reviewer: Antonella Perucca (Leuven)

MSC: 11G30 14G05 14H25

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Sall, Oumar

Algebraic points of small degree on the affine curve \(y^3=x(x-1)(x-2)(x-3)\). (Points algébriques de petits degrés sur la courbe d’équation affine \(y^3=x(x-1)(x-2)(x-3)\).) (French. English summary) Zbl 1190.11035

Afr. Mat., Sér. III 20, 158-162 (2009).

Reviewer: Dimitros Poulakis (Thessaloniki)

MSC: 11G30 11D25 14G05 14H25

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Sall, Oumar

Algebraic points of degree at most 10 on the septic Fermat curve. (Points algébriques de degre au plus 10 sur la septique de Fermat.) (French) Zbl 1104.11034

Afr. Mat., Sér. III 15, 49-55 (2003).

Reviewer: Alain Kraus (Paris)

MSC: 11G30

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Sall, O.

Algebraic points of degree at most 3 on the Klein quartic. (Points algébriques de degré au plus 3 sur la quartique de Klein.) (French) Zbl 1048.14010

Algebras Groups Geom. 20, No. 4, 461-474 (2003).

MSC: 14G05

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Sall, Oumar

Algebraic points on some quotients of Fermat curves. (Points algébriques sur certains quotients de courbes de Fermat.) (French) Zbl 1106.14011

C. R., Math., Acad. Sci. Paris 336, No. 2, 117-120 (2003).

MSC: 14G25 11G30

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Sall, Oumar

Cubic points on the Klein quartic curve. (Points cubiques sur la quartique de Klein.) (French) Zbl 1068.14023

C. R. Acad. Sci., Paris, Sér. I, Math. 333, No. 10, 931-934 (2001).

MSC: 14G05 11G30

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Sall, Oumar

Algebraic points of small degree on Fermat curves. (Points algébriques de petit degré sur les courbes de Fermat.) (French) Zbl 0953.11023

C. R. Acad. Sci., Paris, Sér. I, Math. 330, No. 2, 67-70 (2000).

Reviewer: Federico Pellarin (Paris)

MSC: 11G30 14H45

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Found 25 Documents (Results 1–25)

Parametrization of algebraic points of low degree on the hyperelliptic curves \(y^2=x(x^2-n^2)(x^2-4n^2)\). (English) Zbl 07918831

Algebraic points on the genus 2 curve \(\mathcal{C}:y^2=5(1-x^5)\). (English) Zbl 1538.14011

Algebraic points on the curve of affine equation \(y^2 = x(x-3)(x-4)(x-6)(x-7)\). (English) Zbl 1538.14005

Algebraic points of degree at most 3 on the affine equation curve \(\mathcal{C}_3(11):y^{11}=x^3(x-1)^3\). (Points algébriques de degré au plus 3 sur la courbe d’équation affine \(\mathcal{C}_3(11):y^{11}=x^3(x-1)^3\).) (French. English summary) Zbl 07869702

Algebraic points of degree at most 4 on the affine equation curve \(y^2=x(x-3)(x-4)(x-6)(x-7)\). (Points algébriques de degré au plus 4 sur la courbe d’équation affine \(y^2=x(x-3)(x-4)(x-6)(x-7)\).) (French. English summary) Zbl 07869701

Algebraic points of the family of superelliptic curves of Tomasz Jdrzȩjak for a given degree. (English) Zbl 07835773

Algebraic points of degree at most 14 on the Fermat septic. (English) Zbl 07816073

Algebraic points of degree at most 2 on the affine curves \(x^p + y^{pq} = 1\). (English) Zbl 1538.14006

Algebraic points of given degree on the affine curve \(C: y^2 = x^5 + 16\). (English) Zbl 1538.14010

Algebraic points on the hyperelliptic curves \(y^2 = x^5 + n^2\). (English) Zbl 1517.14021

Parametrization of algebraic points of low degrees on the Hindry-Silverman curve. (English) Zbl 1524.14050

Algebraic points of any degree on the affine curve \(y 2 = x(x 2 + 1)(x 2 + 3)\). (English) Zbl 1531.11061

Algebraic points of degree at most 3 on the curve with affine equation \(y^{11}=x^2(x-1)^2\). (Points algébriques de degré au-plus 3 sur la courbe d’équation affine \(y^{11}=x^2(x-1)^2\).) (French. English summary) Zbl 1458.11103

Algebraic points of degree at most 2 on the affine curve \(y^{11} = x^2 (x - 1)^2\). (English) Zbl 1460.14058

Algebraic points of small degrees on the curve given by affine equation \(y^2=x^5+1\). (Points algébriques de petits degrés sur la courbe d’équation affine \(y^{2}=x^{5}+1\).) (French. English summary) Zbl 1405.11036

Algebraic points of small degrees on curves \(\mathcal C_n\) given by affine equations \(y^{3n}=x(x-1)(x-3)\). (Points algébriques de petits degrés sur les courbes \(\mathcal C_n\) d’équations affines \(y^{3n}=x(x-1)(x-3)\).) (French. English summary) Zbl 1414.11073

Algebraic points of degree at most 12 on Fermat’s quintic. (Points algébriques de degrés au plus 12 sur la quintique de Fermat.) (English) Zbl 1346.11038

Parameterization of algebraic points of a given degree on the curve of the affine equation \(y^3=x(x - 1)(x - 2)(x - 3)\). (Paramétrisation des points algébriques de degré donné sur la courbe d’équation affine \(y^3=x(x - 1)(x - 2)(x - 3)\).) (French) Zbl 1218.11066

Algebraic points on some Fermat curves and some quotients of Fermat curves: progress. (English) Zbl 1213.11133

Algebraic points of small degree on the affine curve \(y^3=x(x-1)(x-2)(x-3)\). (Points algébriques de petits degrés sur la courbe d’équation affine \(y^3=x(x-1)(x-2)(x-3)\).) (French. English summary) Zbl 1190.11035

Algebraic points of degree at most 10 on the septic Fermat curve. (Points algébriques de degre au plus 10 sur la septique de Fermat.) (French) Zbl 1104.11034

Algebraic points of degree at most 3 on the Klein quartic. (Points algébriques de degré au plus 3 sur la quartique de Klein.) (French) Zbl 1048.14010

Algebraic points on some quotients of Fermat curves. (Points algébriques sur certains quotients de courbes de Fermat.) (French) Zbl 1106.14011

Cubic points on the Klein quartic curve. (Points cubiques sur la quartique de Klein.) (French) Zbl 1068.14023

Algebraic points of small degree on Fermat curves. (Points algébriques de petit degré sur les courbes de Fermat.) (French) Zbl 0953.11023

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