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Algebraic Properties of the Modular Lambda Function
O. I. Gritsenko Lomonosov Moscow State University
Abstract:
Some properties of the modular lambda function that are similar to those of the modular invariant functions are proved. An algorithm for constructing the minimal polynomial for the values of the lambda function at the points of imaginary quadratic fields is presented; the numbers conjugate to these values are given.
Keywords:
modular invariant, modular lambda function, minimal polynomial.
Received: 06.06.2013 Revised: 10.12.2017
Citation:
O. I. Gritsenko, “Algebraic Properties of the Modular Lambda Function”, Mat. Zametki, 104:5 (2018), 680–693; Math. Notes, 104:5 (2018), 666–677
Linking options:
https://www.mathnet.ru/eng/mzm10328https://doi.org/10.4213/mzm10328 https://www.mathnet.ru/eng/mzm/v104/i5/p680
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