A note on the number of irrational odd zeta values II
Abstract
We prove that there are at least 1 . 284 · s / log s irrational numbers among ζ ( 3 ) , ζ ( 5 ) , ζ ( 7 ) , ⋯ , ζ ( s - 1 ) for any sufficiently large even integer s . This result improves the constant of a previous work. The proof combines the elimination technique of Fischler–Sprang–Zudilin (2019) with the Φ n factor method of Zudilin (2001).
Fields of Study & Subjects
Advanced Mathematical Identities
Analytic Number Theory Research
Publication details
- Journal / source
- Journal de Théorie des Nombres de Bordeaux
- Volume
- 38
- Issue
- 2
- Pages
- 469–487
- Publication date
- 16 September 2026
- Language
- EN