Assertion: riemann hypothesis | /r/HasProperty | equivalent
Facets:
value: to the statement
type: OTHER
value: to the mertens function
type: OTHER
value: to the generalized riemann hypothesis
type: OTHER
value: to the bound
type: OTHER
Source sentences:
text: The Riemann hypothesis is equivalent to many other conjectures about the rate of growth of other arithmetic functions aside from μ(n).
text: The Riemann hypothesis is equivalent to several statements showing that the terms of the Farey sequence are fairly regular.
text: For an example from group theory, if g(n) is Landau's function given by the maximal order of elements of the symmetric group S n of degree n, then Massias, Nicolas & Robin (1988) showed that the Riemann hypothesis is equivalent to the bound
text: Speiser (1934) proved that the Riemann hypothesis is equivalent to the statement that ζ ′ ( s ) {\displaystyle \zeta '
text: The extended Riemann hypothesis for abelian extension of the rationals is equivalent to the generalized Riemann hypothesis.
text: The Riemann hypothesis is equivalent to this bound for the Möbius function μ and the Mertens function M derived in the same way from it.