An Approximate Functional Equation for Dirichlet L-Functions

Details An Approximate Functional Equation for Dirichlet L-Functions An Approximate Functional Equation for Dirichlet L-Functions

Feb 1965

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1965rspsa.284..224d&link_type=abstract

Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Volume 284, Issue 1397, pp. 224-236

Statistics

Computation

1

Scientific paper

A new asymptotic formula is derived for the computation of Dirichlet L-functions, L(s, χ), where s = σ + it. 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 = 1/2. The results have been placed in the Royal Society Depository for Unpublished Mathematical Tables (no. 83).

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