The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A326890 Successive positive minima of Gram's points g(n) of the Riemann zeta function. 6
 1, 3, 8, 12, 26, 33, 62, 899, 1288, 3382, 3803, 17161, 97280, 208678, 368382, 45898152, 55785549, 65463721 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Gram's points occur when the imaginary part of Riemann zeta function is zero but the real part isn't zero. For very small values of Gram's points the distance between nearest zero of Riemann zeta function is very small. For successive negative minima of Gram's points g(n) of the Riemann zeta function see A326891. a(16)-a(18) follow Korolev 2014. LINKS Table of n, a(n) for n=1..18. M. A. Korolev, On small values of the Riemann zeta-function at Gram points, Mat. Sb., 2014, Volume 205, Number 1, 67-86. In Russian. In English. EXAMPLE n | a(n) | g(a(n)) = Zeta value ---+--------+--------------------- 1 | 1 | 1.457427047874012250 2 | 3 | 0.925264643315366642 3 | 8 | 0.688292371691853238 4 | 12 | 0.538585793754601351 5 | 26 | 0.491521463374527648 6 | 33 | 0.14158237349601719 7 | 62 | 0.00818833702586957 8 | 899 | 0.00443821005886578 9 | 1288 | 0.003877434204568 10 | 3382 | 0.000203064538534 11 | 3803 | 0.000137683252272 12 | 17161 | 0.00011012022914 13 | 97280 | 0.0000123785958 14 | 208678 | 0.000010257478 15 | 368382 | 0.0000000890976 MATHEMATICA ff = 10; aa = {}; Do[ kk = Re[Zeta[1/2 + I N[ InverseFunction[ RiemannSiegelTheta][n Pi], 10]]]; If[(kk > 0) && (kk < ff), AppendTo[aa, n]; ff = kk], {n, 1, 450000}]; aa CROSSREFS Cf. A114856, A254297, A255739, A255742, A326502. Sequence in context: A128303 A123906 A065970 * A024463 A092954 A114803 Adjacent sequences: A326887 A326888 A326889 * A326891 A326892 A326893 KEYWORD nonn,more AUTHOR Artur Jasinski, Sep 13 2019 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 31 12:47 EDT 2023. Contains 363066 sequences. (Running on oeis4.)