On algebraic independence of a class of infinite products
Amou, Masaaki; Väänänen, Keijo (2016-10-08)
Amou, Masaaki
Väänänen, Keijo
Elsevier
08.10.2016
Amou, M., Väänänen, K. (2017) On algebraic independence of a class of infinite products. Journal of Number Theory, 172 (), 114-132. doi:10.1016/j.jnt.2016.08.007
https://creativecommons.org/licenses/by-nc-nd/4.0/
© 2016. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
https://creativecommons.org/licenses/by-nc-nd/4.0/
© 2016. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
https://creativecommons.org/licenses/by-nc-nd/4.0/
Julkaisun pysyvä osoite on
https://urn.fi/URN:NBN:fi-fe2019032810241
https://urn.fi/URN:NBN:fi-fe2019032810241
Tiivistelmä
Abstract
Algebraic independence of values of certain infinite products is proved, where the transcendence of such numbers was already established by Tachiya. As applications explicit examples of algebraically independent numbers are also given.
Kokoelmat
- Avoin saatavuus [31647]