Abstract
This paper is an expository account of the recent important progress made by Ye Tian on the ancient congruent number problem.
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References
Coates, J.: Congruent number problem. Pure Appl. Math. Q. 1, 14–27 (2005)
Coates, J., Li, Y., Tian, Y., Zhai, S.: Quadratic twists of elliptic curves. To appear
Heegner, K.: Diophantische analysis und modulfunktionen. Math. Z. 56, 227–253 (1952)
Monsky, P.: Mock Heegner points and congruent numbers. Math. Z. 204, 45–68 (1990)
Tian, Y.: Congruent numbers with many prime factors. Proc. Natl. Acad. Sci. USA 109, 21256–21258 (2012)
Tian, Y.: Congruent numbers and Heegner points. To appear
Yuan, X., Zhang, S., Zhang, W.: The Gross–Zagier formula on Shimura curves. Ann. Math. Stud. (2012)
Zhao, C.: A criterion for elliptic curves with lowest 2-power order in L(1) (II). Math. Proc. Camb. Philos. Soc. 134, 407–420 (2003)
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Coates, J. Congruent numbers. Acta Math Vietnam. 39, 3–10 (2014). https://doi.org/10.1007/s40306-013-0045-9
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DOI: https://doi.org/10.1007/s40306-013-0045-9