ON THE MEAN VALUES OF L(1, χ)

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چکیده

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On the functions with values in [α(G), χ(G)]

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EXTREME VALUES OF arg L ( 1 , χ )

Values of Dirichlet L-functions at s = 1 have always attracted great attention due to their central role in number theory. In particular the prime number theorem for arithmetic progressions relies on the non-vanishing of L(1, χ) for any non-principal character χ (mod q). Moreover improving the existing lower bounds for |L(1, χ)| (the famous Siegel’s bound |L(1, χ)| ≫ǫ q) would imply many import...

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ژورنال

عنوان ژورنال: Bulletin of the Korean Mathematical Society

سال: 2012

ISSN: 1015-8634

DOI: 10.4134/bkms.2012.49.6.1303