|
|||||
|
|
Algebraic independence of arithmetic gamma values and Carlitz zeta values |
|
| Authors: | Chieh-Yu Chang Matthew A. Papanikolas |
| Affiliation: | a National Center for Theoretical Sciences, Mathematics Division, National Tsing Hua University, Hsinchu City 30042, Taiwan, ROC b Department of Mathematics, National Central University, Chung-Li 32054, Taiwan, ROC c Department of Mathematics, Texas A&M University, College Station, TX 77843-3368, USA d Department of Mathematics, University of Arizona, Tucson, AZ 85721, USA e Department of Mathematics, National Taiwan University, Taipei City 106, Taiwan, ROC |
| Abstract: | We consider the values at proper fractions of the arithmetic gamma function and the values at positive integers of the zeta function for Fq[θ] and provide complete algebraic independence results for them. |
| Keywords: | primary, 11J93 secondary, 11G09, 11M38, 33E50 |
| 本文献已被 ScienceDirect 等数据库收录！ | |