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Found 306 Documents (Results 1–100)

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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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\textit{C. M. Coly} and \textit{O. Sall}, in: Nonlinear analysis, geometry and applications. Proceedings of the first biennial international research symposium, NLAGA-BIRS, Dakar, Senegal, June 24--28, 2019. Cham: Birkhäuser. 459--462 (2020; Zbl 1460.14058)
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Berger, Lisa; Hall, Chris; Pannekoek, René; Park, Jennifer; Pries, Rachel; Sharif, Shahed; Silverberg, Alice; Ulmer, Douglas
Explicit arithmetic of Jacobians of generalized Legendre curves over global function fields. (English) Zbl 1465.11002
Memoirs of the American Mathematical Society 1295. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4219-4/pbk; 978-1-4704-6253-6/ebook). v, 131 p. (2020).
Reviewer: Ahmed Lesfari (El Jadida)
MSC:  11-02 11G05 11G40 11G30 14H05
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\textit{L. Berger} et al., Explicit arithmetic of Jacobians of generalized Legendre curves over global function fields. Providence, RI: American Mathematical Society (AMS) (2020; Zbl 1465.11002)
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Hida, Haruzo
Control of \(\Lambda \)-adic Mordell-Weil groups. (English) Zbl 1410.11089
Loeffler, David (ed.) et al., Elliptic curves, modular forms and Iwasawa theory. In honour of John H. Coates’ 70th birthday, Cambridge, UK, March 2015. Proceedings of the conference and the workshop. Cham: Springer. Springer Proc. Math. Stat. 188, 253-294 (2016).
MSC:  11G40 11G18 11F33
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\textit{H. Hida}, Springer Proc. Math. Stat. 188, 253--294 (2016; Zbl 1410.11089)
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Andreescu, Titu; Andrica, Dorin
Quadratic Diophantine equations. With a foreword by Preda Mihăilescu. (English) Zbl 1376.11001
Developments in Mathematics 40. New York, NY: Springer (ISBN 978-0-387-35156-8/hbk; 978-0-387-54109-9/ebook). xviii, 211 p. (2015).
Reviewer: Mowaffaq Hajja (Amman)
MSC:  11-02 11D09 11J70
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\textit{T. Andreescu} and \textit{D. Andrica}, Quadratic Diophantine equations. With a foreword by Preda Mihăilescu. New York, NY: Springer (2015; Zbl 1376.11001)
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Creutz, Brendan
Explicit descent in the Picard group of a cyclic cover of the projective line. (English) Zbl 1345.11036
Howe, Everett W. (ed.) et al., ANTS X. Proceedings of the tenth algorithmic number theory symposium, San Diego, CA, USA, July 9–13, 2012. Berkeley, CA: Mathematical Sciences Publishers (MSP) (ISBN 978-1-935107-00-2/hbk; 978-1-935107-01-9/ebook). The Open Book Series 1, 295-315 (2013).
MSC:  11G10 14C22 14E20 11Y50
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\textit{B. Creutz}, Open Book Ser. 1, 295--315 (2013; Zbl 1345.11036)
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Bruin, Nils
Success and challenges in determining the rational points on curves. (English) Zbl 1344.11048
Howe, Everett W. (ed.) et al., ANTS X. Proceedings of the tenth algorithmic number theory symposium, San Diego, CA, USA, July 9–13, 2012. Berkeley, CA: Mathematical Sciences Publishers (MSP) (ISBN 978-1-935107-00-2/hbk; 978-1-935107-01-9/ebook). The Open Book Series 1, 187-212 (2013).
MSC:  11G30 11D45 14H45 11G10
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\textit{N. Bruin}, Open Book Ser. 1, 187--212 (2013; Zbl 1344.11048)
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Bhargava, Manjul; Gross, Benedict H.
The average size of the 2-Selmer group of Jacobians of hyperelliptic curves having a rational Weierstrass point. (English) Zbl 1303.11072
Prasad, D. (ed.) et al., Automorphic representations and \(L\)-functions. Proceedings of the international colloquium, Mumbai, India, January 3–11, 2012. New Delhi: Hindustan Book Agency; Mumbai: Tata Institute of Fundamental Research (ISBN 978-93-80250-49-6/hbk). Studies in Mathematics. Tata Institute of Fundamental Research 22, 23-91 (2013).
MSC:  11G30 11G05 14H55 14H40
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\textit{M. Bhargava} and \textit{B. H. Gross}, in: Automorphic representations and \(L\)-functions. Proceedings of the international colloquium, Mumbai, India, January 3--11, 2012. New Delhi: Hindustan Book Agency; Mumbai: Tata Institute of Fundamental Research. 23--91 (2013; Zbl 1303.11072)
Full Text: arXiv
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Tokunaga, Hiro-o
A note on quadratic residue curves on rational ruled surfaces. (English) Zbl 1325.14028
Nakamura, Hiroaki (ed.) et al., Galois-Teichmüller theory and arithmetic geometry. Selected papers based on the presentations at the workshop and conference, Kyoto, Japan, October 25–30, 2010. Tokyo: Mathematical Society of Japan (ISBN 978-4-86497-014-3/hbk). Advanced Studies in Pure Mathematics 63, 565-577 (2012).
MSC:  14E20 14H30 14H50 14J26
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\textit{H.-o Tokunaga}, Adv. Stud. Pure Math. 63, 565--577 (2012; Zbl 1325.14028)
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Libgober, Anatoly
On combinatorial invariance of the cohomology of the Milnor fiber of arrangements and the Catalan equation over function fields. (English) Zbl 1260.14035
Terao, Hiroaki (ed.) et al., Arrangements of hyperplanes. Proceedings of the 2nd Mathematical Society of Japan-Seasonal Institute, MSJ-SI, Sapporo, Japan, August 1–13, 2009. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-67-9/hbk). Advanced Studies in Pure Mathematics 62, 175-187 (2012).
Reviewer: Andras Nemethi (Budapest)
MSC:  14H30 32S22 52B20 11F23
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\textit{A. Libgober}, Adv. Stud. Pure Math. 62, 175--187 (2012; Zbl 1260.14035)
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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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\textit{O. Sall} et al., C. R., Math., Acad. Sci. Paris 348, No. 21--22, 1147--1150 (2010; Zbl 1218.11066)
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Fujita, Yasutsugu; Terai, Nobuhiro
Generators for the elliptic curve \(y^2=x^3-nx\). (English) Zbl 1198.11053
Komatsu, Takao (ed.), Diophantine analysis and related fields 2010. DARF–2010. Proceedings of the conference, Musashino, Tokyo, Japan, March 4–5, 2010. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0815-9). AIP Conference Proceedings 1264, 1-6 (2010).
Reviewer: Andreas Schweizer (Taipei)
MSC:  11G05 11G50 14G05
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\textit{Y. Fujita} and \textit{N. Terai}, AIP Conf. Proc. 1264, 1--6 (2010; Zbl 1198.11053)
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