Improvements to Turing's Method

Details Improvements to Turing's Method Improvements to Turing's Method

2009-03-11

arxiv.org/abs/0903.1885v3

Mathematics

Number Theory

21 pages, third edition: expanded to include sections on Dirichlet L-functions and Dedekind zeta-functions

Scientific paper

This paper refines the argument of Lehman by reducing the size of the
constants in Turing's method. This improvement is given in Theorem 1 and scope
for further improvements is also given. Analogous improvements to Dirichlet
L-functions and Dedekind zeta-functions are also included.

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