Lehmer's Phenomenon
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 
.
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 Wagon, S. Mathematica in Action. New York: W. H. Freeman, pp. 357-358, 1991.
-Function.'' In Mathematics of Computation 1943-1993: A Half-Century of Computational Mathematics (Vancouver, BC, 1993). Proc. Sympos. Appl. Math. 48, 553-556, 1994.
- Much Greater
- Much Less
- Mu Function
- Muirhead's Theorem
- Muller's Method
- Mulliken Symbols
- Multiamicable Numbers
- Multifactorial
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- Multigrade Equation
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