Taekyun Kim talks with
ScienceWatch.com and answers a few questions about
this month's New Hot Paper in the field of
Article Title: On p-adic interpolating function for
q-Euler numbers and its derivatives
Journal: J MATH ANAL APPL
Year: MAR 1 2008
* Kyungpook Natl Univ, EECS, Taegu 702701, South Korea.
Why do you think your paper is highly
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
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
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.
Division of General Education
Seoul, South Korea
KEYWORDS: ZETA FUNCTION; Q-SERIES; P-ADIC INTERPOLATING
FUNCTIONS; Q-EULER NUMBERS; PARTIAL ZETA FUNCTION; ANALYTIC