Revision History for A079724
(Underlined text is an addition;
strikethrough text is a deletion.)
Showing entries 1-10
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#14 by Joerg Arndt at Sun Aug 10 06:01:39 EDT 2014
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#13 by Robert Israel at Sun Aug 10 01:40:16 EDT 2014
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#12 by Michel Marcus at Sun Aug 10 00:54:04 EDT 2014
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Discussion
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| Sun Aug 10
| 00:57
| Michel Marcus: Swapped definition with A079723.
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#11 by Michel Marcus at Sun Aug 10 00:53:47 EDT 2014
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| EXAMPLE
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1;
1, 1/3;
1, 1/2, 1/3;
1, 1/2, 1/3, 1/5;
1, 1/2, 1/3, 1/5, 1/7;
1, 1/2, 1/3, 3/11, 1/5, 1/7;
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| EXTENSIONS
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Definition corrected (was denominators) by Michel Marcus, Aug 10 2014
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#10 by Michel Marcus at Sun Aug 10 00:49:37 EDT 2014
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| NAME
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Triangle of denominatorsnumerators of numbers related to an approximation problem connected with Riemann hypothesis.
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| EXAMPLE
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1;
1, 3;
1, 2, 3;
1, 2, 3, 5;
1, 2, 3, 5, 7;
1, 2, 3, 11/3, 5, 7;
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| CROSSREFS
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Cf. A079722, A079723 (numeratorsdenominators).
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| STATUS
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reviewed
editing
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#9 by Joerg Arndt at Sat Aug 09 02:49:00 EDT 2014
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Discussion
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| Sat Aug 09
| 02:50
| Joerg Arndt: fraction 11/3 gives denominator 3 as shown (?)
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| 02:55
| Michel Marcus: Yes but T(n,k) here seems to be 1/T(n,k) in table 4 of paper.
Maybe due to "1/T(n,i)" in A079722 comment.
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#8 by Michel Marcus at Sat Aug 09 01:47:57 EDT 2014
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#7 by Michel Marcus at Sat Aug 09 01:44:56 EDT 2014
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| REFERENCES
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B. Landreau and F. Richard, Le critere de Beurling et Nyman pour l'hypothese de Riemann: aspects numeriques, Exper. Math., 11 (2002), 349-360.
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| LINKS
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B. Landreau and F. Richard, <a href="http://www.emis.de/journals/EM/expmath/volumes/11/11.3/Landreau349_360.pdf">, ">Le criterecritère de Beurling et Nyman pour l'hypothesehypothèse de Riemann: aspects numeriquesnumériques</a>, Exper. Math., 11 (2002), 349-360.
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| EXAMPLE
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Triangle of rationals starts:
1;
1, 3;
1, 2, 3;
1, 2, 3, 5;
1, 2, 3, 5, 7;
1, 2, 3, 11/3, 5, 7;
...
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| CROSSREFS
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Cf. A079722, A079723. (numerators).
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| STATUS
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approved
editing
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Discussion
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| Sat Aug 09
| 01:47
| Michel Marcus: I wonder if numerators and denominators are swapped:
1,
1, 1/3,
1, 1/2, 1/3,
1, 1/2, 1/3, 1/5,
1, 1/2, 1/3, 1/5, 1/7,
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#6 by Bruno Berselli at Sat Nov 09 14:41:20 EST 2013
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#5 by Michel Marcus at Sat Nov 09 14:40:25 EST 2013
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