A note on the hypothesis that L(s, Χ) >0 for all real non-principal characters Χ and for all s>0

Chowla, S. ; Hartung, P. (1974) A note on the hypothesis that L(s, Χ) >0 for all real non-principal characters Χ and for all s>0 Journal of Number Theory, 6 (4). pp. 271-275. ISSN 0022-314X

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/002231...

Related URL: http://dx.doi.org/10.1016/0022-314X(74)90021-3

Abstract

If Χ(n) is an odd real character (mod k), it is an unsolved problem whether Σn=1 x (n) / ns > 0 (s>0) We propose a hypothesis which ensures the truth of this inequality.

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