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math.CO2023
On two conjectural series involving Riemann zeta function
Chuanan Wei, Ce Xu
Riemann zeta function is important in a lot of branches of number theory. With the help of the operator method and several transformation formulas for hypergeometric series, we pro…
math.CO2023
On some conjectural series containing harmonic numbers of 3-order
Chuanan Wei, Ce Xu
Harmonic numbers are important in a lot of branches of number theory. By means of the derivative operator, the integral operator, and several summation and transformation formulas…