On L-functions over function fields: Power-means of error-terms and distribution of L’/L-values
نویسندگان
چکیده
on Re(s) > 1/2. If P = Py = {p; N(p) ≤ y} and y 7→ ∞, we know that each of fP (s, χ), f ′ P (s, χ) tends to 0. But unless Re(s) > 1, the convergence (say, for each fixed s) cannot be expected to be uniform in χ. The speed of convergence should depend on the size of the norm of the conductor of χ. We shall prove that, nevertheless, for each case of gP = fP or f ′ P and for each positive integer k, the average
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