کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6424909 1633784 2017 66 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A new generating function for calculating the Igusa local zeta function
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
A new generating function for calculating the Igusa local zeta function
چکیده انگلیسی

A new method is devised for calculating the Igusa local zeta function Zf of a polynomial f(x1,…,xn) over a p-adic field. This involves a new kind of generating function Gf that is the projective limit of a family of generating functions, and contains more data than Zf. This Gf resides in an algebra whose structure is naturally compatible with operations on the underlying polynomials, facilitating calculation of local zeta functions. This new technique is used to expand significantly the set of quadratic polynomials whose local zeta functions have been calculated explicitly. Local zeta functions for arbitrary quadratic polynomials over p-adic fields with p odd are presented, as well as for polynomials over unramified 2-adic fields of the form Q+L where Q is a quadratic form and L is a linear form such that Q and L have disjoint variables. For a quadratic form over an arbitrary p-adic field with odd p, this new technique makes clear precisely which of the three candidate poles are actual poles.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 304, 2 January 2017, Pages 355-420
نویسندگان
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