Generalized Broughton polynomials and characteristic varieties Nguyen Tat Thang
... 1, 2, . . . , d−1. Moreover, for a local system L ∈ Wj one has dim H 1 (M, L) ≥ 1 and equality holds with finitely many exceptions. Otherwise, there do not exist strictly positive dimensional components of V1 (M ). Proof. According to Theorem 2.2 and Remark 2.3, any translated positive dimensional c ...
... 1, 2, . . . , d−1. Moreover, for a local system L ∈ Wj one has dim H 1 (M, L) ≥ 1 and equality holds with finitely many exceptions. Otherwise, there do not exist strictly positive dimensional components of V1 (M ). Proof. According to Theorem 2.2 and Remark 2.3, any translated positive dimensional c ...
Systems of Equations
... Now check your answer by substituting into the original equations. . . . ...
... Now check your answer by substituting into the original equations. . . . ...
Hypergeometric Solutions of Linear Recurrences with Polynomial
... A sequence a E SK will be called polynomial (respectively rational) a polynomial f (x) E K[x] (respectively a rational function f (x) E K(x)) such that a(n) = f (n) for all large enough n E IN . A non-zero sequence a E SK is a hypergeometric term (or simply hypergeometric) over K if there is a ratio ...
... A sequence a E SK will be called polynomial (respectively rational) a polynomial f (x) E K[x] (respectively a rational function f (x) E K(x)) such that a(n) = f (n) for all large enough n E IN . A non-zero sequence a E SK is a hypergeometric term (or simply hypergeometric) over K if there is a ratio ...
