Аннотация:
By applying the “coefficient extraction method” to hypergeometric series, we establish several remarkable infinite series identities about harmonic numbers and five binomial coefficients, including three conjectured by Z.-W. Sun.
Ключевые слова:
Riemann zeta function, harmonic number, central binomial coefficient.
Поступило: 10.05.2023 После доработки: 16.07.2023 Принято к публикации: 19.07.2023