-function. Generalizations of the
-function have been discovered, for which the analogue
of the Riemann Hypothesis is also conjectured.
The Riemann Hypothesis is an assertion about the zeros of
the Riemann -function. Generalizations of the
-function have been discovered, for which the analogue
of the Riemann Hypothesis is also conjectured.
These generalizations of the -function are known
as ``zeta-functions'' or ``
-functions.''
In this section we describe attempts to determine the
collection of functions that deserve to be called L-functions.
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