Explicit Formula (original) (raw)
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See also
Chebyshev Functions, Mangoldt Function, Prime Number Theorem, Riemann-von Mangoldt Formula, Riemann Zeta Function
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References
Conrey, J. B. "The Riemann Hypothesis." Not. Amer. Math. Soc. 50, 341-353, 2003. http://www.ams.org/notices/200303/fea-conrey-web.pdf.Davenport, H. Multiplicative Number Theory, 2nd ed. New York: Springer-Verlag, p. 104, 1980.Havil, J. "The von Mangoldt Explicit Formula--And How It Is Used to Prove the Prime Number Theorem." ยง16.9 in Gamma: Exploring Euler's Constant. Princeton, NJ: Princeton University Press, pp. 200-202, 2003.Montgomery, H. L. "Harmonic Analysis as Found in Analytic Number Theory." In Twentieth Century Harmonic Analysis--A Celebration. Proceedings of the NATO Advanced Study Institute Held in Il Ciocco, July 2-15, 2000 (Ed. J. S. Byrnes). Dordrecht, Netherlands: Kluwer, pp. 271-293, 2001.
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Cite this as:
Weisstein, Eric W. "Explicit Formula." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ExplicitFormula.html