科研/Research
当前位置: 主页 >> 科研/Research| 1. | On the quadratic twist of elliptic curves with full 2-torsion |
| Z. Wang, S. Zhang. Int. J. Number Theory (2026+), to appear. | |
| PDF | DOI |
| 2. | On non-congruent numbers as multiples of non-congruent numbers |
| S. Zhang. J. Algebra 687 (2026), 394-418. | |
| PDF | DOI | 幻灯片 |
| 3. | The generating fields of twisted Kloosterman sums |
| S. Zhang. Int. J. Number Theory 21 (2025), no. 07, 1567-1581. | |
| PDF | DOI | Slide | 幻灯片 |
| 4. | On the linearity of the periods of subtraction games |
| S. Zhang. Theor. Comput. Sci. 985 (2024), Paper No. 114350, 9 pp. | |
| PDF | DOI | 幻灯片 |
| 5. | On a comparison of Cassels pairings of different elliptic curves |
| S. Zhang. Acta Arith. 211 (2023), no. 1, 1-23. | |
| PDF | DOI | 幻灯片 |
| 6. | On the Newton polygons of twisted ��-functions of binomials |
| S. Zhang. Finite Fields Appl. 80 (2022), Paper No. 102026, 20 pp. | |
| PDF | DOI | 幻灯片 |
| 7. | The 3-class groups of ℚ(3√��) and its normal closure |
| J. Li, S. Zhang. Math Z. 300 (2022), no. 1, 209-215. | |
| PDF | DOI |
| 8. | ��-Class groups of fields in Kummer towers |
| J. Li, Y. Ouyang, Y. Xu, S. Zhang. Publ. Mat. 66 (2022), no. 1, 235-267. | |
| PDF | DOI |
| 9. | The generating fields of two twisted Kloosterman sums |
| S. Zhang. J. Univ. Sci. Technol. China 51 (2021), no. 12, 879-888. | |
| PDF | PubPDF |
| 10. | Birch's lemma over global function fields |
| Y. Ouyang, S. Zhang. Proc. Amer. Math. Soc. 145 (2017), no. 2, 577-584. | |
| PDF | DOI |
| 11. | Newton polygons of ��-functions of polynomials ����+������-1 with ��≡-1 mod �� |
| Y. Ouyang, S. Zhang. Finite Fields Appl. 37 (2016), 285-294. | |
| PDF | DOI |
| 12. | On second 2-descent and non-congruent numbers |
| Y. Ouyang, S. Zhang. Acta Arith. 170 (2015), no. 4, 343-360. | |
| PDF | DOI | |
| Errata Acta Arith. 202 (2022), no. 2, 203. |
| 13. | On non-congruent numbers with 1 modulo 4 prime factors |
| Y. Ouyang, S. Zhang. Sci. China Math. 57 (2014), no. 3, 649-658. | |
| PDF | DOI |
Here are some preprint.
| 1. | Existence of generalized bent functions in the exceptional ��≡2 mod 4, odd-dimensional case |
| J. Li, S. Ying, S. Zhang. (2026), submitted. | |
| 2. | On quadratic binomial vectorial functions with maximal bent components |
| X. Xie, Y. Ouyang, S. Zhang. (2026), submitted. | |
| PDF | 幻灯片 |
| 4. | The virtual periods of linear recurrence sequences in cyclotomic fields |
| S. Zhang. (2020), preprint. | |
Here are some notes.
| 1. | The curve and ��-adic Hodge theory |
| Laurent Fargus, 2019-11-01 ~ 2020-01-10, MCM Beijing | |
| 2. | ��-adic abelian integrals |
| Pierre Colmez, 2016-09-14 ~ 2016-10-26, BICMR Beijing | |