On two conjectures of Sun concerning Apéry-like series
نویسندگان
چکیده
Abstract We prove two conjectural identities of Z.-W. Sun concerning Apéry-like series. One the series is alternating, whereas other one not. Our main strategy to convert and alternating log-sine-cosine log-sinh-cosh integrals, respectively. Then we express all these integrals using single-valued Bloch–Wigner–Ramakrishnan–Wojtkowiak–Zagier polylogarithms. The conjectures then follow from a few rather non-trivial functional equations those polylogarithms in weights 3 4.
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ژورنال
عنوان ژورنال: Forum Mathematicum
سال: 2023
ISSN: ['1435-5337', '0933-7741']
DOI: https://doi.org/10.1515/forum-2022-0325