拟周期对有理数的线性依赖

Pub Date : 2021-05-27 DOI:10.5802/CRMATH.171

K. S. Kumar

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引用次数: 0

摘要

本文将证明C中的晶格Zω1 +Zω2具有q线性相关的拟周期，当且仅当ω2/ω1在C的上半平面上的SL2(Z)作用下等于爱森斯坦级数E2的一个零。[j] .数学学科分类。2020年3月23日收稿，2020年8月7日改稿，2020年12月17日收稿。

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Linear dependence of quasi-periods over the rationals

In this note we shall show that a lattice Zω1 +Zω2 in C has Q-linearly dependent quasi-periods if and only if ω2/ω1 is equivalent to a zero of the Eisenstein series E2 under the action of SL2(Z) on the upper half plane of C. 2020 Mathematics Subject Classification. 11J72, 11J89. Manuscript received 23rd March 2020, revised 7th August 2020, accepted 17th December 2020.

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