Irrationality of certain numbers that contain values of the di- and trilogarithm

journal contribution

posted on 2025-05-09, 06:25 authored by Khodabakhsh Hessami Pilehrood, Tatiana Hessami Pilehrood, W. Zudilin

We prove that, for z ∈ {1/2, 2/3, 3/4, 4/5}, at least one of the two numbers [[unable to be reproduced here]] is irrational.

History

Mathematische Zeitschrift

254

2

299 - 313

Springer-Verlag

Faculty of Science and Information Technology

School of Mathematical and Physical Sciences

The final publication is available at www.springerlink.com