  The twisted fundamental lemmas for three series of stable twisted endoscopy
(Sp_{2n} to PGL_{2n+1}, GSpin_{2n+1} to GL_{2n}\times GL_1, Sp_{2n} to
SO_{2n+2}) will be reduced to a fundamental-lemma-like statement for ordinary
(i.e. untwisted) stable orbital integrals on the groups $\SO_{2n+1}$ of type
$B_n$ resp. $\SP_{2n}$ of type $C_n$. This manusript, written around 2001,
anticipates similar results of Waldspurger (2008), and may be used to reduce
the twisted fundamental lemma to the work of Ngo. The original aim was to
reduce the fundumantal lemma for the lift from Sp_4 to PGL_5 to the twisted
fundamental lemma for the lift from GSp_4=GSpin_5 to Gl_4 \times GL_1.
