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Lower Bound for p-Adic Exponential Polynomials Evaluated at Some Integer Points

Lower Bound for p-Adic Exponential Polynomials Evaluated at Some Integer Points

Jul 9, 2018Vol. 18 No. 2 (2018)

Abstract

In 1981, a p-adic interpolation method based on divided differences was derived and was applied to derive, among other things, results on the number of zeros and the bound of certain p-adic exponential polynomials. Here, lower bounds for a p-adic exponential polynomial evaluated over some rational integers are derived using a method of van der Poorten.

Keywords: p-adic exponential polynomial, Turán’s theorem

*Corresponding author:  Tel.:662-5625555 ext 647086

E-mail: fscianr@ku.ac.th

 

 

References

Author Information

Angkana Sripayap*

Department of Mathematics, Faculty of Science, Kasetsart University, Bangkok, Thailand

Angkana Sripayap*

Department of Mathematics, Faculty of Science, Kasetsart University, Bangkok, Thailand

About this Article

Journal

Vol. 18 No. 2 (2018)

Keywords

p-adic exponential polynomial, Turán’s theorem

Published

9 July 2018

Current Journal

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Vol. 18 No. 2 (2018)

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