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ON EULER'S FORMULAE FOR DOUBLE ZETA VALUES

ON EULER'S FORMULAE FOR DOUBLE ZETA VALUES

In 1776, L. Euler proposed three methods, called prima methodus, secunda methodus and tertia methodus, to calculate formulae for double zeta values. However, strictly speaking, his last two methods are mathematically incomplete and require more precise reformulation and more sophisticated arguments for their justification. In this paper, we reformulate his …