Gun, Sanoli ; Murty, M. Ram ; Rath, Purusottam (2012) Linear independence of Hurwitz zeta values and a theorem of Baker–Birch–Wirsing over number fields Acta Arithmetica, 155 (3). pp. 297-309. ISSN 0065-1036
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Official URL: http://doi.org/10.4064/aa155-3-6
Related URL: http://dx.doi.org/10.4064/aa155-3-6
Abstract
The Q-linear independence of these numbers, suggested by Chowla and Milnor, is linked to irrationality of zeta values and has been investigated in an earlier work [5]. In this work, we attempt to extend our investigation to linear independence over number fields. Let F be a number field. Let us define the following F-linear spaces:
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Institute of Mathematics of the Czech Academy of Sciences. |
| Keywords: | Hurwitz Zeta Values; Polylogarithms; Non-Vanishing Of L(s, f). |
| ID Code: | 117999 |
| Deposited On: | 10 May 2021 16:29 |
| Last Modified: | 10 May 2021 16:29 |
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