Package de.tilman_neumann.jml.primes
Class RiemannHypothesisTest
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public class RiemannHypothesisTest extends Object
Tests Robins and Lagarias' Riemann hypothesis tests on colossally abundant numbers (CANs). From page 4 of http://www.math.lsa.umich.edu/~lagarias/doc/elementaryrh.pdf: "Robin showed that, if the Riemann hypothesis is false, then there will necessarily exist a counterexample to the inequality (1.2) that is a colossally abundant number; the same property can be established for inequality (1.1)" Inequality (1.1) (Lagarias): sigma(n) <= Hn + exp(Hn)*ln(Hn) Inequality (1.2) (Robin): sigma(n) <= exp(gamma) n ln(ln(n)) for each n >=5041
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Constructor Summary
Constructors Constructor Description RiemannHypothesisTest()
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Method Detail
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main
public static void main(String[] argv)
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