Eiji Miyanohara
Published 2018-07-24Version 1
Taciya, Amou-V\"a\"an\"anenn investigated the transcendence of certain infinite products by using Mahler method and inductive method (introduced by Duverney). They assume technical conditions which are related the coefficients of certain infinite products and the condition of polynomial's degree, which is bounded. In this article, we improve their conditions on the certain polynomial infinite products of rational coefficients by using the method developed by Bell-Bugeaud-Coons and increase hidden infinite copy structure related the infinite products.
Transcendence of values of logarithms of $E$-functions
Expansions of the generalized Euler's constants into the series of polynomials in $π^{-2}$ and into the formal enveloping series with rational coefficients only
Heights and transcendence of $p$--adic continued fractions
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