On some formulae related to Euler sums - Université Côte d'Azur
Journal Articles Lithuanian Mathematical Journal Year : 2023

On some formulae related to Euler sums

Abstract

Using the Ramanujan summation method, we derive some unusual formulas for a class of Euler sums (including divergent Euler sums) similar to the classical relations due to Euler.
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Dates and versions

hal-03170892 , version 1 (16-03-2021)
hal-03170892 , version 2 (24-03-2021)
hal-03170892 , version 3 (29-03-2021)
hal-03170892 , version 4 (03-04-2021)
hal-03170892 , version 5 (01-10-2021)
hal-03170892 , version 6 (03-03-2022)
hal-03170892 , version 7 (11-03-2022)
hal-03170892 , version 8 (09-11-2022)
hal-03170892 , version 9 (24-11-2022)

Identifiers

Cite

Marc-Antoine Coppo, Bernard Candelpergher. On some formulae related to Euler sums. Lithuanian Mathematical Journal, 2023, 63, pp.13. ⟨10.1007/s10986-022-09583-8⟩. ⟨hal-03170892v9⟩
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