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 Larson-Wagner (2019) for the proof that certain of these numbers are correct.
REFERENCES
Ken Ono, Jensen-Polya Program for the Riemann Hypothesis and Related Problems, Colloquium Lecture, Mathematics Department, Rutgers University, Piscataway, NJ, Sep 06 2019.
LINKS
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), 11103-11110.
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, Jensen-Polya Program for the Riemann Hypothesis and Related Problems, Oregon Number Theory Days (Colloquium Lecture), Oregon State University, Winter 2018.
CROSSREFS
KEYWORD
nonn,hard,more
AUTHOR
N. J. A. Sloane, Sep 07 2019
STATUS
approved