On some properties of modular polynomials for the lambda function. (English. Russian original) Zbl 1176.30013
Math. Notes 86, No. 2, 216-233 (2009); translation from Mat. Zametki 86, No. 2, 237-255 (2009).
Summary: We prove the existence of modular polynomials for the lambda function and present an asymptotic formula for the maximum of the moduli of their coefficients.
MSC:
30C10 | Polynomials and rational functions of one complex variable |
Keywords:
lambda function; modular polynomial; theta constant; Galois group; Farey series; algebraic numberReferences:
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