OFFSET

0,1

COMMENTS

The reason for the choice of 12 as a starting point is from musical practice; 12 is the standard equal division of the octave of Western music. The subsequent values where this integral is greater than it is for 12 are also equal divisions. While all the values tabulated are such that the integer of the integer sequence is actually contained in the interval between two successive zeros, it must eventually happen that a counterexample would be found. Another interesting question is the density of this sequence; it is not clear if it is increasing in density or not.

REFERENCES

Edwards, H. M., Riemann's Zeta-Function, Academic Press, 1974

Titchmarsh, E. C., The Theory of the Riemann Zeta-Function, second revised (Heath-Brown) edition, Oxford University Press, 1986

LINKS

CROSSREFS

KEYWORD

hard,more,nonn

AUTHOR

Gene Ward Smith, Mar 27 2006

STATUS

approved