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Some -supercongruences for multiple basic hypergeometric series
Chuanan Wei
In terms of several summation and transformation formulas for basic hypergeometric series, two forms of the Chinese remainder theorem for coprime polynomials, the creative microsco…
-Supercongruences for multidimensional series modulo the sixth power of a cyclotomic polynomial
Chuanan Wei
With the help of El Bachraoui's lemma, the creative microscoping method, and a new form of the Chinese remainder theorem for coprime polynomials, we prove a -supercongruence for…
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…
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…
On some conjectural series containing binomial coefficients and harmonic numbers
Chuanan Wei
Binomial coefficients and harmonic numbers are important in many branches of number theory. With the help of the operator method and several summation and transformation formulas f…
On some conjectures of Z.-W. Sun involving harmonic numbers
Chuanan Wei
Harmonic numbers are significant in various branches of number theory. With the help of the digamma function, we prove ten conjectural series of Z.-W. Sun involving harmonic number…