Analytic Bezout identities
نویسندگان
چکیده
منابع مشابه
Extended Bezout Identities
! $# , where # is the identity matrix. However, only two different types of primeness, ZLP and MLP, have been defined in [13], which correspond to the case % and a polynomial containing &(' % variables . To my knowledge, nothing has been done for the other cases until the work of Oberst [6], surely because the complexity of the matrices increases with the number & . The main contribution of [6]...
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Two generalized partition theorems involving partitions with " n + 1 copies of n " and " n + 2 copies of n ", respectively, are proved. These theorems have potential of yielding infinite Rogers-Ramanujan type identities on MacMahon's lines. Five particular cases are also discussed. Among them three are known and two provide new combinatorial interpretations of two known ^-identities.
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Two generalized partition theorems involving partitions with " n + 1 copies of n " and " n + 2 copies of n ", respectively, are proved. These theorems have potential of yielding infinite Rogers-Ramanujan type identities on MacMahon's lines. Five particular cases are also discussed. Among them three are known and two provide new combinatorial interpretations of two known ^-identities.
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First, recall how Bezout’s Theorem can be made more precise by specifying the meaning of the word “generically” used above, using elementary scheme-theoretic language ([H, II]). Fix an algebraically closed field k. There is little loss in assuming k = C (until Section 3). Since we work over an algebraically closed field, we often identify reduced algebraic sets with their k-valued points. In th...
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In this paper we consider the following analog of Bezout inequality for mixed volumes: V (P1, . . . , Pr,∆ )Vn(∆) r−1 ≤ r ∏ i=1 V (Pi,∆ ) for 2 ≤ r ≤ n. We show that the above inequality is true when ∆ is an n -dimensional simplex and P1, . . . , Pr are convex bodies in R . We conjecture that if the above inequality is true for all convex bodies P1, . . . , Pr , then ∆ must be an n -dimensional...
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ژورنال
عنوان ژورنال: Advances in Applied Mathematics
سال: 1989
ISSN: 0196-8858
DOI: 10.1016/0196-8858(89)90003-1