Gun, Sanoli ; Ram Murty, M. ; Rath, Purusottam (2009) Linear independence of digamma function and a variant of a conjecture of Rohrlich Journal of Number Theory, 129 (8). pp. 1858-1873. ISSN 0022-314X
Full text not available from this repository.
Official URL: http://doi.org/10.1016/j.jnt.2009.02.007
Related URL: http://dx.doi.org/10.1016/j.jnt.2009.02.007
Abstract
Let γ(x) denote the digamma function. We study the linear independence of γ(x) at rational arguments over algebraic number fields. We also formulate a variant of a conjecture of Rohrlich concerning linear independence of the log gamma function at rational arguments and report on some progress. We relate these conjectures to non-vanishing of certain L-series.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier B.V. |
| Keywords: | Digamma Function; Log Gamma Function; L-series Rohrlich's Conjecture. |
| ID Code: | 117995 |
| Deposited On: | 10 May 2021 14:11 |
| Last Modified: | 10 May 2021 14:11 |
Repository Staff Only: item control page
