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Zeta functions and Bernstein-Sato polynomials for ideals in dimension two
Zeta functions Bernstein-Sato polynomials ideals dimension two
2011/2/28
For a nonzero ideal I ⊳C[x1, . . . , xn], with 0 ∈ supp I, a (general-ized) conjecture of Igusa–Denef–Loeser predicts that every pole of its topologi-cal zeta function is a root of its Bernstein...
Primitive prime divisors in zero orbits of polynomials
Primitive prime divisors zero orbits of polynomials
2010/12/9
Let (bn) = (b1, b2, . . . ) be a sequence of integers. A primitive prime divisor of a term bk is a prime which divides bk but does not divide any of the previous terms of the sequence. A zero orbit of...
Uniqueness for meromorphic functions and differential polynomials
Uniqueness meromorphic function differential polynomials
2010/2/25
In this article, we deal with the uniqueness problems on meromorphic functions concerning differential polynomials and prove the following result: Let f and g be two transcendental meromorphic functio...
Fermionic formulas for level-restricted generalized Kostka polynomials and coset branching functions
Fermionic formulas Kostka polynomials coset branching functions
2010/10/29
Level-restricted paths play an important role in crystal theory. They correspond to certain highest weight vectors of modules of quantum affine algebras. We show that the recently established bijecti...
Parity considerations in the expansion of Fermat-Pell polynomials
Parity considerations expansion Fermat-Pell polynomials
2010/11/1
For each positive integer $n$ it is shown how to construct a finite collection of multivariable polynomials $\{F_{i}:=F_{i}(t,X_{1},..., X_{\lfloor \frac{n+1}{2} \rfloor})\}$ such that each positive ...