NDLI: Multiplicative dependence of shifted algebraic numbers

Content Provider	Semantic Scholar
Author	Drungilas, Paulius Dubickas, Arturas
Copyright Year	2003
Abstract	We show that the set obtained by adding all sufficiently large integers to a fixed quadratic algebraic number is multiplicatively dependent. So is also the set obtained by adding rational numbers to a fixed cubic algebraic number. Similar questions for algebraic numbers of higher degrees are also raised. These are related to the Prouhet–Tarry–Escott type problems and can be applied to the zero– distribution and universality of some zeta–functions. 2000 Mathematics Subject Classification: 11D57, 11D72, 11R04.
Starting Page	75
Ending Page	81
Page Count	7
File Format	PDF HTM / HTML
DOI	10.4064/cm96-1-7
Volume Number	96
Alternate Webpage(s)	https://klevas.mif.vu.lt/~drungilas/Papers/MultiplicativeDependence.pdf
Alternate Webpage(s)	https://doi.org/10.4064/cm96-1-7
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

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