Content deleted Content added
→{{pi}}(x), Π(x), θ(x), ψ(x) – prime-counting functions: Un-bold ϑ(x), move wikilink to the adjacent words "Chebyshev functions", use vartheta symbol as is conventional and to match the formula immediately following. |
→Neither multiplicative nor additive: use cursive theta consistently |
||
Line 142:
==Neither multiplicative nor additive==
==={{pi}}(''x''), Π(''x''), ''
These important functions (which are not arithmetic functions) are defined for non-negative real arguments, and are used in the various statements and proofs of the [[prime number theorem]]. They are summation functions (see the main section just below) of arithmetic functions which are neither multiplicative nor additive.
| |||