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A003419
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Values of m in the discriminant D = 4*m leading to a new minimum of the L-function of the Dirichlet series L(1) = Sum_{k>0} Kronecker(D,k)/k.
(Formerly M2102)
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5
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1, 2, 17, 167, 227, 362, 398, 331427, 430022, 737183, 800663, 821498, 1475858, 2271407, 3009173, 5417453
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OFFSET
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1,2
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COMMENTS
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The terms a(2)-a(7) are given in Shanks's Table 4 "Lochamps, 4M = Discriminant". This table gives some values of L(1) for larger discriminants, e.g., L(1) = 0.2510... for D = 4*4813372912697. In comparison, L(1) = 0.28422 for D = 4*a(16) = 4*5417453. - Hugo Pfoertner, Feb 07 2020
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REFERENCES
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D. Shanks, Systematic examination of Littlewood's bounds on L(1,chi), pp. 267-283 of Analytic Number Theory, ed. H. G. Diamond, Proc. Sympos. Pure Math., 24 (1973). Amer. Math. Soc.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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Table of n, a(n) for n=1..16.
D. Shanks, Systematic examination of Littlewood's bounds on L(1,chi), Proc. Sympos. Pure Math., 24 (1973). Amer. Math. Soc. (Annotated scanned copy)
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CROSSREFS
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Cf. A003420, A003421, A003521.
Sequence in context: A178806 A197864 A231616 * A126109 A046909 A041879
Adjacent sequences: A003416 A003417 A003418 * A003420 A003421 A003422
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KEYWORD
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nonn,more
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AUTHOR
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N. J. A. Sloane
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EXTENSIONS
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New title, a(1) prepended, and a(8)-a(13) from Hugo Pfoertner, Feb 04 2020
a(14)-a(15) from Hugo Pfoertner, Feb 05 2020
a(16) from Hugo Pfoertner, Feb 07 2020
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STATUS
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approved
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