Linear independence of harmonic numbers over the field of algebraic numbers
- 39 Downloads
KeywordsBaker’s Theory Digamma function Galois theory Gauss formula Harmonic Numbers Linear forms in logarithm Linear independence
Mathematics Subject ClassificationPrimary 11J81 11J86 Secondary 11J91
The authors thank Prof. M. Ram Murty for his comments on an earlier version of this paper. The authors would like to thank the referee for his insightful suggestions. The authors also thank Mr. Suraj Singh Khurana for his help in the revision process of this article. The first author would like to thank Université Pierre et Marie Curie (University of Paris VI) for the hospitality where some part of the work was done and the National Board for Higher Mathematics for the partial support.
- 3.Chatterjee, T., Dhillon, S.: Linear independence of harmonic numbers over the field of algebraic numbers II. PreprintGoogle Scholar
- 4.Chatterjee, T., Gun, S.: The digamma function, Euler–Lehmer constants and their p-adic counterparts. Acta Arith. 162(2), 197–208 (2014)Google Scholar
- 5.Chatterjee, T., Khurana, S.S.: Erdősian functions and an identity of Gauss (submitted)Google Scholar