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Showing 1 to 2 of 2 for “"zero-free regions"”.
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Explicit Estimates for Functions of Primes in Arithmetic Progressions
… with essentially three topics: Explicit zero-free regions for Dirichlet L-functions, numerical estimates for the error term in the prime number theorem for arithmetic progressions, and Waring's problem for cubes.
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Topics in analytic number theory
… first explicit form of the Vinogradov–Korobov zero-free region for Dirichlet L-functions. In the second chapter, we generalize recent work on large gaps between primes to imaginary quadratic fields. Suppose K is an imaginary quadratic field, and let N_K denote the field norm on O_K. For x₀ in …