具有相同值集的二进制形式III。D3和D6的情况

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2025-05-15 DOI:10.1016/j.aim.2025.110326

Étienne Fouvry , Peter Koymans

引用次数: 0

摘要

设F，G∈Z[X，Y]为度数≥3的二元形式，且自同构群与基数为6或12的二面体群同构。我们精确地描述F和G具有相同的值集，即F(Z2)=G（Z2）。

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Binary forms with the same value set III. The case of D3 and D6

Let

F, G \in Z [X, Y]

be binary forms of degree ≥3 with automorphism groups isomorphic to the dihedral group of cardinality 6 or 12. We characterize exactly when F and G have the same value set, i.e.

F (Z^{2}) = G (Z^{2})

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来源期刊

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.