The On-Line Encyclopedia of Integer Sequences (OEIS)

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Root numbers n after which the absolute value of (the extremum of XiFunction[1/2+I t[n]] between t[n] and t[n+1]) decreases.
(history; published version)

#5 by Jon E. Schoenfield at Sat Aug 15 20:14:18 EDT 2015

STATUS

editing

approved

#4 by Jon E. Schoenfield at Sat Aug 15 20:14:13 EDT 2015

AUTHOR

Eric W. Weisstein, Jan 03, 2006

STATUS

approved

editing

#3 by Russ Cox at Sat Mar 31 12:39:09 EDT 2012

AUTHOR

_Eric W. Weisstein (eric(AT)weisstein.com), _, Jan 03, 2006

Discussion

Sat Mar 31

12:39

OEIS Server: https://oeis.org/edit/global/877

#2 by N. J. A. Sloane at Sun Jun 29 03:00:00 EDT 2008

KEYWORD

nonn,new

nonn

AUTHOR

E. W. Eric Weisstein (eric(AT)weisstein.com), Jan 03, 2006

#1 by N. J. A. Sloane at Tue Jan 24 03:00:00 EST 2006

NAME

Root numbers n after which the absolute value of (the extremum of XiFunction[1/2+I t[n]] between t[n] and t[n+1]) decreases.

DATA

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27, 29, 30, 31, 32, 33, 34, 36, 37, 38, 39, 40, 42, 43, 44, 45, 47, 48, 49, 50, 51, 52, 53, 55, 56, 57, 58, 59, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 71, 74, 75, 76, 77, 78, 80, 81, 82, 84

OFFSET

1,2

LINKS

Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/LehmersPhenomenon.html">Lehmer's Phenomenon</a>

EXAMPLE

Positions t* and local extrema XiFunction[1/2+I t* ] are (15.585711332048758, -0.0008015627529657927), (22.097389559314916, 7.757611157791071*^-6), (26.263654620110252, -6.694515560853731*^-7), (31.179346409935437, 8.08323128338739*^-9), (34.16924408063743, -2.3158407239416737*^-9), (38.51676783435905, 7.095608517717453*^-11), ...

KEYWORD

nonn

AUTHOR

E. W. Weisstein (eric(AT)weisstein.com), Jan 03, 2006

STATUS

approved