Abstract
A new asymptotic formula is derived for the computation of Dirichlet
L
-functions,
L
(
s
,
X
), where
s
= σ + i
t
. The formula is applicable for large values of
t
and it has been used on the Mercury computer at Manchester University to calculate the zeros of the
L
-functions with moduli 3 and 4 on the line
Rs
= ½. The results have been placed in the Royal Society Depository for Unpublished Mathematical Tables (no. 83).
Reference7 articles.
1. Bigg M. D. 1962 Ph.D. thesis University of Manchester.
2. Davies D. 1962 Ph.D. thesis University of Manchester.
3. The evalution of Dirichlet
L
-functions
4. Haselgrove C. B. & Miller J. C. P. i 960 Royal Society mathematical tables vol. 6 : Tables of the Riemann zeta function. Cambridge University Press.
5. Lehmer D. H. 1956 Extended computation of the Riemann zeta function. 3 102- 8.
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