Diophantine equations, class groups and non-congruent numbers

Author:

Li Guilin,Qin Hourong

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory

Reference21 articles.

1. Bastien, L.: Nombres congruents. Intermédiaire des Mathématiciens 22, 231–232 (1915)

2. Evink, T., Top, J., Top, J.D.: A remark on prime (non)congruent numbers. arXiv:2105.01450v1 (2021)

3. Heath-Brown, D.R.: The size of Selmer groups for the congruent number problem, II. With an appendix by P. Monsky. Invent. Math. 118, 331–370 (1994)

4. Ireland, K., Rosen, M.: A Classical Introduction to Modern Number Theory. Graduate Texts in Math., vol. 84. Springer, New York (1972)

5. Jerome, T.D., Fidel, R.N.: On Tate-Shafarevich groups of families of elliptic curves. Notes Number Theory Discret. Math. 18, 42–55 (2012)

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