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Search: id:A158241
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| A158241 |
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Decimal expansion of theta=atan((sqrt(10-2*sqrt(5))-2)/(sqrt(5)-1)) |
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+0
2
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| 0, 2, 7, 6, 7, 8, 7, 1, 7, 9, 4, 4, 8, 5, 2, 2, 6, 2, 5, 7, 5, 4, 2, 6, 6, 3, 6, 5, 0, 4, 4, 6, 3, 4, 2, 6, 0, 0, 1, 7, 5, 1, 1, 9, 1, 1, 3, 5, 0, 3, 5, 8, 1, 6, 1, 6, 6, 9, 1, 3, 4, 8, 0, 1, 8, 5, 8, 4, 2, 7, 5, 8, 4, 7, 4, 4, 3, 4, 0, 6, 9, 8, 5, 0, 3, 3, 5, 4, 2, 8, 2, 1, 7, 1, 5, 4, 2, 6, 6, 0, 3, 5, 8, 6, 3
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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This number arose in the Davenport-Heilbronn zeta-function which satisfies a functional equation (like zeta) but does not satisfy RH. Some non trivial zeros are off the critical line (see ref.).
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REFERENCES
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H. Davenport and H. Heilbronn, On the zeros of certain Dirichlet series I,II, J. London Math. Soc. 11 (1936), 181-185 and ibid. 307-312
P. Borwein et al, The Riemann Hypothesis, Springer (2009), 136-137
E. Bombieri and D. Hejhal, Sur les zeros des fonctions zeta d'Epstein, Comptes rendus de l'Academie des Sciences, Paris, 304 (1987), 213-217
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CROSSREFS
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Sequence in context: A127817 A047232 A103557 this_sequence A156591 A138283 A117968
Adjacent sequences: A158238 A158239 A158240 this_sequence A158242 A158243 A158244
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KEYWORD
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base,nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Mar 14 2009
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