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Abstract
In 1776, L. Euler considered three methods to obtain formulae on double
zeta values which he called prima methodus, secunda methodus and tertia
methodus.
But his formulae obtained by the last two methods are not mathematically
well-formulated and his proofs also need a justification.
In this talk, we give a rigorous proof and also clarify that the
validity of his formulae is guaranteed by the extended double shuffle
relations and the generating functions for double zeta values.
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