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On the Product of L(1, χ)

Published online by Cambridge University Press:  22 January 2016

Tikao Tatuzawa
Tikao Tatuzawa*
Affiliation:
Gakushuin University, Tokyo
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Let k(≧3) be a positive integer and φ(k) be the Euler function. We denote by % one of the φ(k) characters formed with modulus k, and by % the principal character. Let Lis, %) be the L-series corresponding to % Throughout the paper we use c and c(ε) to denote respectively an absolute positive constant and a positive constant depending on parameter ε( >0) alone, not necessarily the same at their various occurrences. We use the symbol y = O(Z) for positive X when there exists a c satisfying Y ≦ in the full domain of existence of X and Y.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 5 , February 1953 , pp. 105 - 111
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1953

References

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