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New Evaluations of Inverse Binomial Series via Cyclotomic Multiple Zeta Values
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New Evaluations of Inverse Binomial Series via Cyclotomic Multiple Zeta Values
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Through the application of an evaluation technique based on cyclotomic multiple zeta values recently due to Au, we solve open problems on inverse binomial series that were included in a 2010 analysis textbook by Chen.
Forward citations
Cited by 2 Pith papers
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Derivative Sums of Balanced Gamma Quotients and Multiple Zeta Values: Five Conjectures of Zhi-Wei Sun
Balanced gamma quotients reduce derivative sums to ordinary multiple zeta values, proving and correcting four conjectures of Sun without numerical fitting.
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Derivative Sums of Balanced Gamma Quotients and Multiple Zeta Values: Five Conjectures of Zhi-Wei Sun
A balanced gamma quotient reduction plus exact WZ/MZV certificates proves Sun's Conjectures 4.2-4.6, with four corrections to the printed statements.
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