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Taekyun Kim talks with ScienceWatch.com and answers a few questions about this month's New Hot Paper in the field of Mathematics.
Taekyun Kim Article Title: On p-adic interpolating function for q-Euler numbers and its derivatives
Authors: Kim, T
Journal: J MATH ANAL APPL
Volume: 339
Issue: 1
Page: 598-608
Year: MAR 1 2008
* Kyungpook Natl Univ, EECS, Taegu 702701, South Korea.

Why do you think your paper is highly cited?

I made the first definition of the q-extension of an Euler number using a Fermonic p-adic q-integral and made p-adic analytic functions interpolating at negative integer. I also studied properties related to alternating harmonic sums and several kinds of number theoretical properties and applications. I think that a newly made q-extension Euler number in my paper can be used to study theories related to p-adic L-functions.

Does it describe a new discovery, methodology, or synthesis of knowledge?

I think my paper was a new discovery that contained a methology which differed from older research of the p-adic L-function.

Would you summarize the significance of your paper in layman’s terms?

My research can be utilized in the study of quantum physics that explains the atom.

How did you become involved in this research, and were there any particular problems encountered along the way?

I had studied p-adic q-L-function in Japan in 1994 and considered the p-adic invariant q-integral from the Fermonic point of view.

Where do you see your research leading in the future?

It is quite interesting that research involving the p-adic interpolation function using p-adic invariant q-integral , can also be used in the fermonic distribution of Physics and the Radon-Nikodyn theorm.

Do you foresee any social or political implications for your research?

I believe that it can help in the development of quantum physics.

Taekyun Kim, Ph.D.
Professor
Division of General Education
Kwangwoon University
Seoul, South Korea

KEYWORDS: ZETA FUNCTION; Q-SERIES; P-ADIC INTERPOLATING FUNCTIONS; Q-EULER NUMBERS; PARTIAL ZETA FUNCTION; ANALYTIC FUNCTION.

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2009 : May 2009 - New Hot Papers : Taekyun Kim