Rosser,s Rule
المؤلف:
Edwards, H. M.
المصدر:
Riemann,s Zeta Function. New York: Dover, 2001.
الجزء والصفحة:
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14-9-2019
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Rosser's Rule
Rosser's rule states that every Gram block contains the expected number of roots, which appears to be true for computable Gram blocks. Rosser et al. (1969) expressed a belief that this phenomenon will not continue, and the fact that it in fact fails infinitely often was subsequently proved by Lehman (1970).
REFERENCES:
Edwards, H. M. Riemann's Zeta Function. New York: Dover, 2001.
Lehman, R. S. "On the Distribution of Zeros of the Riemann Zeta Function." Proc. London Math. Soc. 20, 303-320, 1970.
Rosser, J. B.; Yohe, J. B.; and Schoenfeld, L. "Rigorous Computation and the Zeros of the Riemann Zeta-Function." In Cong. Proc. Int. Fed. Information Process., 1968. Washington, DC: Spartan, pp. 70-76, 1969.
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