Package de.tilman_neumann.jml.primes
Class RiemannHypothesisTest
java.lang.Object
de.tilman_neumann.jml.primes.RiemannHypothesisTest
public class RiemannHypothesisTest
extends java.lang.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
-
Constructor Summary
Constructors Constructor Description RiemannHypothesisTest()
-
Method Summary
Modifier and Type Method Description static void
main(java.lang.String[] argv)
Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
-
Constructor Details
-
RiemannHypothesisTest
public RiemannHypothesisTest()
-
-
Method Details
-
main
public static void main(java.lang.String[] argv)
-