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$\boldsymbol {L}$
-VALUES
For an (irreducible) recurrence equation with coefficients from
$\mathbb Z[n]$
and its two linearly independent rational solutions
$u_n,v_n$
, the limit of
$u_n/v_n$
as
$n\to \infty $
, when it exists, is called the Apéry limit. We give a construction that realises certain quotients of L-values of elliptic curves as Apéry limits.
