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arXiv 1004.5355math-phmath.MP
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关于Darboux-Treibich-Verdier势

On Darboux-Treibich-Verdier potentials

A. P. Veselov

摘要:

证明了四参数椭圆函数族$$u_D(z)=m_0(m_0+1)\wp(z)+\sum_{i=1}^3 m_i(m_i+1)\wp(z-ω_i)$$是包含无穷多个有限间隙势的最一般的亚纯函数族。

英文摘要:

It is shown that the four-parameter family of elliptic functions $$u_D(z)=m_0(m_0+1)\wp(z)+\sum_{i=1}^3 m_i(m_i+1)\wp(z-ω_i)$$ introduced by Darboux and rediscovered a hundred years later by Treibich and Verdier, is the most general meromorphic family containing infinitely many finite-gap potentials.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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