Zero-Free Regions for L(s, χ)
There is no difficulty in extending the results of the preceding section to the zeros of L(s, χ) when χ is a fixed character. But this is of limited value ; for many purposes it is important to allow q to vary and to have estimates that are explicit in respect of q. This raises some difficult problems, and the results so far known are better for complex characters than for real characters.
KeywordsComplex Character Real Zero Primitive Character Prime Number Theorem Positive Absolute Constant
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