 | This article includes alist of references,related reading, orexternal links,but its sources remain unclear because it lacksinline citations. Please helpimprove this article byintroducing more precise citations.(August 2017) (Learn how and when to remove this message) |
Inmathematics,Probabilistic number theory is a subfield ofnumber theory, which explicitly usesprobability to answer questions about theintegers andinteger-valued functions. One basic idea underlying it is that differentprime numbers are, in some serious sense, likeindependent random variables. This however is not an idea that has a unique useful formal expression.
The founders of the theory werePaul Erdős,Aurel Wintner andMark Kac during the 1930s, one of the periods of investigation inanalytic number theory. Foundational results include theErdős–Wintner theorem, theErdős–Kac theorem onadditive functions and theDDT theorem.
{{cite book}}:ISBN / Date incompatibility (help) | Thisnumber theory-related article is astub. You can help Wikipedia byexpanding it. |