The appearance of nontrivial zeros (i.e., those along the Critical Strip with ) of the Riemann Zeta Function very close together. An example is the pair of zeros given by and , illustrated above in the plot of .
See also Critical Strip, Riemann Zeta Function
References
Csordas, G.; Odlyzko, A. M.; Smith, W.; and Varga, R. S. ``A New Lehmer Pair of Zeros and a New Lower Bound for the
de Bruijn-Newman Constant.'' Elec. Trans. Numer. Analysis 1, 104-111, 1993.
Csordas, G.; Smith, W.; and Varga, R. S. ``Lehmer Pairs of Zeros, the de Bruijn-Newman Constant and the Riemann
Hypothesis.'' Constr. Approx. 10, 107-129, 1994.
Csordas, G.; Smith, W.; and Varga, R. S. ``Lehmer Pairs of Zeros and the Riemann -Function.''
In Mathematics of Computation 1943-1993: A Half-Century of Computational Mathematics
(Vancouver, BC, 1993). Proc. Sympos. Appl. Math. 48, 553-556, 1994.
Wagon, S. Mathematica in Action. New York: W. H. Freeman, pp. 357-358, 1991.