Proving Two Conjectural Series for $$\zeta (7)$$ and Discovering More Series for $$\zeta (7)$$

DOI10.1007/978-3-030-43120-4_5OpenAlexW3013081957MaRDI QIDQ5014661

Jakob Ablinger

Publication date: 8 December 2021

Published in: Mathematical Aspects of Computer and Information Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.06631

Mathematics Subject Classification ID

Numerical analysis (65-XX) Computer science (68-XX)

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Cites Work

• The multiple zeta value data mine
• The concrete tetrahedron. Symbolic sums, recurrence equations, generating functions, asymptotic estimates
• An algorithm for solving second order linear homogeneous differential equations
• Hypergeometric solutions of linear recurrences with polynomial coefficients
• Solving difference equations in finite terms
• Harmonic sums and polylogarithms generated by cyclotomic polynomials
• Iterated binomial sums and their associated iterated integrals
• Discovering and Proving Infinite Binomial Sums Identities
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