

A324794


Conjectured value of N(2^n), defined by property that the Jensen polynomial J^{2^n,m}_p(X) is hyperbolic for m >= N(2^n).


1




OFFSET

0,2


COMMENTS

Normally the OEIS does not list conjectured values in the Data section, but an exception has been made here in view of the importance of these numbers.
The conjectured values of N(d) for d = 1,...,9 are 1, 25, 94, 206, 381, 610, 908, 1269, 1701.
See LarsonWagner (2019) for the proof that certain of these numbers are correct.


REFERENCES

Ken Ono, JensenPolya Program for the Riemann Hypothesis and Related Problems, Colloquium Lecture, Mathematics Department, Rutgers University, Piscataway, NJ, Sep 06 2019.


LINKS

Table of n, a(n) for n=0..5.
M. Griffin, K. Ono, L. Rolen, and D. Zagier, Jensen polynomials for the Riemann zeta function and other sequences, arXiv:1902.07321 [math.NT], 2019.
M. Griffin, K. Ono, L. Rolen, and D. Zagier, Jensen polynomials for the Riemann zeta function and other sequences, Proceedings of the National Academy of Sciences, 116(23) (2019), 1110311110.
H. Larson and I. Wagner, Hyperbolicity of the partition Jensen polynomials, arXiv:1904.12727 [math.NT], 2019.
H. Larson and I. Wagner, Hyperbolicity of the partition Jensen polynomials, Res. Numb. Th. 5(2) (2019), Art. 19, 12 pp. (Correction, Res. Numb. Th. 5(3) (2019), Art. 21, 1 p.)
Ken Ono, JensenPolya Program for the Riemann Hypothesis and Related Problems, Oregon Number Theory Days (Colloquium Lecture), Oregon State University, Winter 2018.


CROSSREFS

Sequence in context: A220677 A125362 A126520 * A348201 A264493 A224419
Adjacent sequences: A324791 A324792 A324793 * A324795 A324796 A324797


KEYWORD

nonn,hard,more


AUTHOR

N. J. A. Sloane, Sep 07 2019


STATUS

approved



