Invertibility in truncated polynomial rings

作者: Joseph H Silverman

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摘要: A straft. Let Rk=(q/tq)[w]/(w {-1) be the ring oftruncated polynomials modulo t. We compute the probability that a randomly chosen polynomial f (w) Rk is invertible in Rk, and also the conditional probability if f (w) is required to satisfy f (1)= 1.§ 1 t te e ts

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