Linear dependence of quasi-periods over the rationals

نویسندگان

چکیده

In this note we shall show that a lattice ℤω 1 +ℤω 2 in ℂ has ℚ-linearly dependent quasi-periods if and only ω /ω is equivalent to zero of the Eisenstein series E under action SL (ℤ) on upper half plane ℂ.

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ژورنال

عنوان ژورنال: Comptes Rendus Mathematique

سال: 2021

ISSN: ['1631-073X', '1778-3569']

DOI: https://doi.org/10.5802/crmath.171