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searching for Algebraic integer 8 found (47 total)

Proofs of quadratic reciprocity (3,771 words) [view diff] exact match in snippet view article find links to article

τ2=2{\textstyle \tau ^{2}=2}. Because τ{\displaystyle \tau } is an algebraic integer, if p is an odd prime it makes sense to talk about it modulo p. (Formally

Golden rectangle (825 words) [view diff] exact match in snippet view article find links to article

ratio – Algebraic number, approximately 1.3247 Supergolden ratio – Algebraic integer, approximately 1.46557 Rabatment of the rectangle – Cutting a square

Lehmer's conjecture (1,981 words) [view diff] exact match in snippet view article find links to article

algebraic number so m ( P ) {\displaystyle m(P)} is the logarithm of an algebraic integer. It also shows that m ( P ) ≥ 0 {\displaystyle m(P)\geq 0} and that

Baker's theorem (3,411 words) [view diff] exact match in snippet view article find links to article

point are given by algebraic integers times known constants. If an algebraic integer has all its conjugates bounded by a known constant, then it cannot

Supergolden ratio (2,337 words) [view diff] exact match in snippet view article find links to article

Algebraic integer, approximately 1.46557

Mersenne prime (6,328 words) [view diff] exact match in snippet view article find links to article

former is not a prime. This can be remedied by allowing b to be an algebraic integer instead of an integer: In the ring of integers (on real numbers),

Supersilver ratio (2,306 words) [view diff] exact match in snippet view article find links to article

Algebraic integer, approximately 2.20557

Principalization (algebra) (9,028 words) [view diff] exact match in snippet view article

integer if necessary we may assume that A {\displaystyle A} is an algebraic integer. The non-unit A {\displaystyle A} is generator of an ambiguous principal