张神星  (副研究员(特聘))

   

Research

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1. On non-congruent numbers as multiples of non-congruent numbers
S. Zhang. J. Algebra 687 (2026), 394-418.
PDF | DOI | 幻灯片
2. 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
3. On the linearity of the periods of subtraction games
S. Zhang. Theor. Comput. Sci. 985 (2024), Paper No. 114350, 9 pp.
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4. On a comparison of Cassels pairings of different elliptic curves
S. Zhang. Acta Arith. 211 (2023), no. 1, 1-23.
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5. On the Newton polygons of twisted 𝐿-functions of binomials
S. Zhang. Finite Fields Appl. 80 (2022), Paper No. 102026, 20 pp.
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6. The 3-class groups of ℚ(3𝑝) and its normal closure
J. Li, S. Zhang. Math Z. 300 (2022), no. 1, 209-215.
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7. 𝓁-Class groups of fields in Kummer towers
J. Li, Y. Ouyang, Y. Xu, S. Zhang. Publ. Mat. 66 (2022), no. 1, 235-267.
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8. The generating fields of two twisted Kloosterman sums
S. Zhang. J. Univ. Sci. Technol. China 51 (2021), no. 12, 879-888.
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9. Birch's lemma over global function fields
Y. Ouyang, S. Zhang. Proc. Amer. Math. Soc. 145 (2017), no. 2, 577-584.
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10. Newton polygons of 𝐿-functions of polynomials 𝑥𝑑+𝑎𝑥𝑑-1 with 𝑝≡-1 mod 𝑑
Y. Ouyang, S. Zhang. Finite Fields Appl. 37 (2016), 285-294.
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11. On second 2-descent and non-congruent numbers
Y. Ouyang, S. Zhang. Acta Arith. 170 (2015), no. 4, 343-360.
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Errata Acta Arith. 202 (2022), no. 2, 203.
12. On non-congruent numbers with 1 modulo 4 prime factors
Y. Ouyang, S. Zhang. Sci. China Math. 57 (2014), no. 3, 649-658.
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Here are some preprint.

1. On the quadratic twist of elliptic curves with full 2-torsion
Z. Wang, S. Zhang. (2022), preprint.
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2. The virtual periods of linear recurrence sequences in cyclotomic fields
S. Zhang. (2020), preprint.
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Here are some notes.

1. The curve and 𝑝-adic Hodge theory
Laurent Fargus, 2019-11-01 ~ 2020-01-10, MCM Beijing
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2. 𝑝-adic abelian integrals
Pierre Colmez, 2016-09-14 ~ 2016-10-26, BICMR Beijing
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