On the measuere of transcendence of formal Laurent series

Authors

  • Ahmet Sukru Ozdemir

Keywords:

Formal Laurent series, Measure of Transcendence

Abstract

In this work , we determine the transcendence measure of the formal Laurent series, whose transcendence has been establıshed by S.M.SPENCER [14] . Using the methods and lemmas in P. Bundschuh’s article measure of transcendence fot the above n is determined as T(n,H)=H^{-(d+1)q^d-edq^(2d)}.
On the other hand , it was prowen that transcendence series n is not a U but is a S or T numbers according to the Mahler’s classification.

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Published

2019-03-22

How to Cite

Ozdemir, A. S. (2019). On the measuere of transcendence of formal Laurent series. International Journal of Maps in Mathematics, 2(1), 99–107. Retrieved from https://journalmim.com/index.php/journalMIM/article/view/21