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On a series of
Ramanujan, dilogarithm values, and solitons
Khristo N. Boyadzhiev and Steven Manns
Vol. 15 (2022), No. 3, 411–425
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Abstract |
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We discuss several topics related to polylogarithms with a focus on dilogarithms. The topics are a generating function with harmonic numbers coming from Ramanujan, extending the dilogarithm to complex numbers beyond the unit disk, and relating polylogarithms to Bernoulli polynomials and to solitons. Several improvements and corrections are made to existing representations. |
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Keywords
harmonic number, generating function, dilogarithm,
trilogarithm, polylogarithm, Bernoulli polynomial, Riemann
zeta function, solitons
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Mathematical Subject Classification
Primary: 11M41, 33B30
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Milestones
Received: 5 April 2021
Revised: 23 November 2021
Accepted: 27 November 2021
Published: 2 December 2022
Communicated by H. M. Srivastava
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Authors |
| Khristo N. Boyadzhiev | |
| Department of Mathematics Ohio Northern University Ada, OH United States |
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| Steven Manns | |
| Department of Mathematics Ohio Northern University Ada, OH United States |
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