New evaluations of inverse binomial series via cyclotomic multiple zeta values

Binomial coefficients; factorials; (q)-identities (11B65) Higher logarithm functions (33B30) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Cites Work

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Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals
On the all-order $\epsilon $-expansion of generalized hypergeometric functions with integer values of parameters
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Massive Feynman diagrams and inverse binomial sums
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The Galois coaction on the electron anomalous magnetic moment
Quasi-shuffle products
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Multiple zeta values and periods of moduli spaces $\overline{\mathfrak{M}}_{0,n}$
Interesting Series Involving the Central Binomial Coefficient
Classification of hypergeometric identities for π and other logarithms of algebraic numbers
Ueber die Transcendenten, welche aus wiederholten Integrationen rationaler Formeln entstehen. (Fortsetzung).
Ueber die Transcendenten, welche aus wiederholten Integrationen rationaler Formeln entstehen.
Special values of multiple polylogarithms
Expansion around half-integer values, binomial sums, and inverse binomial sums
Lehmer’s Interesting Series
From Madhava–Leibniz to Lehmer’s Limit
A Generalized Apery Series
Single-scale diagrams and multiple binomial sums
New results for the $\varepsilon{}$-expansion of certain one-, two- and three-loop Feynman diagrams
The massless higher-loop two-point function
Sun's series via cyclotomic multiple zeta values
On a problem involving the squares of odd harmonic numbers
Proof of a conjecture due to Chu on Gosper-type sums

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