A note on the transcendence of infinite products

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27510%2F12%3A86084248" target="_blank" >RIV/61989100:27510/12:86084248 - isvavai.cz</a>
Alternative codes found
RIV/61988987:17610/12:A1300R9E
Result on the web
<a href="http://dx.doi.org/10.1007/s10587-012-0053-2" target="_blank" >http://dx.doi.org/10.1007/s10587-012-0053-2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10587-012-0053-2" target="_blank" >10.1007/s10587-012-0053-2</a>

Result language
angličtina
Original language name
A note on the transcendence of infinite products
Original language description
The paper deals with several criteria for the transcendence of infinite products of the form $prod_{n=1}^{infty}{[b_n alpha^{a_n}]/ b_n alpha^{a_n}}$ where $alpha > 1$ is a positive algebraic number having a conjugate $alpha^*$ such that $alpha not= |alpha^*| > 1$, ${a_n}_{n=1}^{infty}$ and ${b_n}_{n=1}^{infty}$ are two sequences of positive integers with some specific conditions. The proofs are based on the recent theorem of Corvaja and Zannier which relies on the Subspace Theorem (P.Corvaja, U.Zannier: On the rational approximation to the powers of an algebraic number: solution of two problems of Mahler and Mend`es France, Acta Math. 193, (2004), 175?191).
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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