This article is cited in 1 paper

On Some Properties of Modular Polynomials for the Lambda Function

V. D. Mirokov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: 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.

Keywords: lambda function, modular polynomial, theta constant, Galois group, Farey series, algebraic number, holomorphic function.

UDC: 511.3

Received: 20.12.2007
Revised: 24.11.2008

DOI: 10.4213/mzm4342

 English version: Mathematical Notes, 2009, 86:2, 216–233

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