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).

References in corpus (1)

• Hypergeometry inspired by irrationality questions

Cited by in corpus (3)

• One of the Odd Zeta Values from $\zeta (5)$ to $\zeta (25)$ Is Irrational. By Elementary Means
• Hypergeometry inspired by irrationality questions
• Arithmetic of Catalan's constant and its relatives