Mathematics – Number Theory
Scientific paper
1995-03-12
Mathematics
Number Theory
Scientific paper
We describe some new general constructions of $p$-adic $L$-functions
attached to certain arithmetically defined complex $L$-functions coming from
motives over $\bold Q$ with coefficiens in a number field $T$, with $[T:\bold
Q]<\infty$. These constructions are equivalent to proving some generalized
Kummer congruences for critical special values of these complex $L$-functions.
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