Diophantine Approximations of Infinite Series and Products

Ondřej Kolouch; Lukáš Novotný

Communications in Mathematics (2016)

  • Volume: 24, Issue: 1, page 71-82
  • ISSN: 1804-1388

Abstract

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This survey paper presents some old and new results in Diophantine approximations. Some of these results improve Erdos' results on~irrationality. The results in irrationality, transcendence and linear independence of infinite series and infinite products are put together with idea of irrational sequences and expressible sets.

How to cite

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Kolouch, Ondřej, and Novotný, Lukáš. "Diophantine Approximations of Infinite Series and Products." Communications in Mathematics 24.1 (2016): 71-82. <http://eudml.org/doc/286693>.

@article{Kolouch2016,
abstract = {This survey paper presents some old and new results in Diophantine approximations. Some of these results improve Erdos' results on~irrationality. The results in irrationality, transcendence and linear independence of infinite series and infinite products are put together with idea of irrational sequences and expressible sets.},
author = {Kolouch, Ondřej, Novotný, Lukáš},
journal = {Communications in Mathematics},
keywords = {Infinite products; irrationality; linear independence; expressible set},
language = {eng},
number = {1},
pages = {71-82},
publisher = {University of Ostrava},
title = {Diophantine Approximations of Infinite Series and Products},
url = {http://eudml.org/doc/286693},
volume = {24},
year = {2016},
}

TY - JOUR
AU - Kolouch, Ondřej
AU - Novotný, Lukáš
TI - Diophantine Approximations of Infinite Series and Products
JO - Communications in Mathematics
PY - 2016
PB - University of Ostrava
VL - 24
IS - 1
SP - 71
EP - 82
AB - This survey paper presents some old and new results in Diophantine approximations. Some of these results improve Erdos' results on~irrationality. The results in irrationality, transcendence and linear independence of infinite series and infinite products are put together with idea of irrational sequences and expressible sets.
LA - eng
KW - Infinite products; irrationality; linear independence; expressible set
UR - http://eudml.org/doc/286693
ER -

References

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