Gram,s Law
المؤلف:
Edwards, H. M.
المصدر:
Riemann,s Zeta Function. New York: Dover, 2001.
الجزء والصفحة:
...
8-9-2019
1989
Gram's Law
Gram's law (Hutchinson 1925; Edwards 2001, pp. 125, 127, and 171) is the tendency for zeros of the Riemann-Siegel function 
to alternate with Gram points. Stated more precisely, it notes the tendency for 
to hold, where 
is a Gram point.
Strictly speaking, the statement "
" should perhaps be called the weak Gram's law since Hutchinson (1925) used the term "Gram's law" to refer to the stronger statement that there are precisely 
zeros of 
between 0 and 
(Edwards 2001, p. 171).
REFERENCES:
Edwards, H. M. Riemann's Zeta Function. New York: Dover, 2001.
Hutchinson, J. I. "On the Roots of the Riemann Zeta-Function." Trans. Amer. Math. Soc. 27, 49-60, 1925.
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