例文
- Intuitively, this is because in this case, proving \ phi _ M requires the arithmetic properties of only finitely many numbers.
- Over PAC fields there is a firm link between arithmetic properties of the field and group theoretic properties of its absolute Galois group.
- The theory of " group expansion " ( expander graph properties of related Cayley graphs ) for particular thin groups has been applied to arithmetic properties of Apollonian circles and in Zaremba's conjecture.