A note on odd zeta values
Abstract
Using a new construction of rational linear forms in odd zeta values and the saddle point method, we prove the existence of at least two irrational numbers amongst the 33 odd zeta values $\zeta$(5), $\zeta$(7),. .. , $\zeta$(69).
- Publication:
-
arXiv e-prints
- Pub Date:
- March 2018
- DOI:
- 10.48550/arXiv.1803.03160
- arXiv:
- arXiv:1803.03160
- Bibcode:
- 2018arXiv180303160R
- Keywords:
-
- Mathematics - Number Theory
- E-Print:
- S\'eminaire Lotharingien de Combinatoire 81 (2020), Art. B81b, 13 pp