Evaluating -functions with few known coefficients
2014 ◽
Vol 17
(1)
◽
pp. 245-258
◽
Keyword(s):
AbstractWe address the problem of evaluating an $L$-function when only a small number of its Dirichlet coefficients are known. We use the approximate functional equation in a new way and find that it is possible to evaluate the $L$-function more precisely than one would expect from the standard approach. The method, however, requires considerably more computational effort to achieve a given accuracy than would be needed if more Dirichlet coefficients were available.
1986 ◽
Vol 62
(10)
◽
pp. 410-412
◽
1986 ◽
Vol 37
(2)
◽
pp. 193-209
◽
1930 ◽
Vol s2-31
(1)
◽
pp. 11-17
◽
1997 ◽
Vol 107
(4)
◽
pp. 377-385
◽
1965 ◽
Vol 284
(1397)
◽
pp. 224-236
◽
Keyword(s):