You are here

ARITHMETICAL PROPERTIES OF THE VALUES OF SOME POWER SERIES WITH ALGEBRAIC COEFFICIENTS TAKEN FOR f/m-NUMBERS ARGUMENTS.

Journal Name:

Publication Year:

Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
In this paper it is proved that the values of some gap series for Um-numbers arguments are either a (/-number of degree < m or an element of a certain algebraic number field. In this work the method which is used by Oryan for Liouville numbers in [9] and [10] is extended to the Um-numbers. This extended method is used first for the gap series with rational coefficients and then for the gap series with algebraic coefficients. Further by using the similar methods for the p-adic gap series the similar results are obtained. The obtained results in the work contains the theorems in [9], [10] as special cases.
111-144