p-adic Analysis with q-Analysis and its Applications
1Department of Mathematics, College of Natural Sciences, Hannam University, Daejeon 306-791, Republic of Korea
2Department of Mathematics, College of Natural Science, Kwangwoon University, Seoul 139-704, Republic of Korea
3Département de Mathématiques, Université d'Evry-Val-d'Essonne, Boulevard F. Mitterrand, 91025 Evry Cedex, France
p-adic Analysis with q-Analysis and its Applications
Description
Kurt Hensel (1861–1941) invented the so-called p-adic numbers around the end of the nineteenth century. These numbers are still in the center of the advanced mathematical research. In number theory and quantum theory, especially, they have many applications.
p-adic analysis with q-analysis includes several domains in mathematics and physics, including the number theory, algebraic geometry, algebraic topology, mathematical analysis, mathematical physics, string theory, field theory, stochastic differential equations, quantum groups, and other parts of the natural sciences. The intent of this special issue is to survey major results and current trends in the theory of p-adic analysis with q-analysis.
It will reflect both the state-of-the-art theoretical research and important recent advances in applications. Potential topics include, but are not limited to:
- q-Analogs of zeta functions, Hurwitz zeta functions, Dirichlet series, L-series, special values
- q-Analogs of Bernoulli, Euler, and Genocchi numbers and polynomials
- q-Analogs of multiple Bernoulli, multiple Euler, and multiple Genocchi numbers and polynomials
- q-Integers, q-integral, q-identities, and q-special functions
- q-Continued fractions, gamma functions, and sums of powers
- q-Analogs multiple zeta functions, Barnes multiple zeta functions, and multiple L-series
- Computational and numerical aspects of q-series and q-analysis
Before submission authors should carefully read over the journal's Author Guidelines, which are located at http://www.hindawi.com/journals/ijmms/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/ according to the following timetable: