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ON THE POLES OF IGUSA'S LOCAL ZETA FUNCTION FOR ALGEBRAIC SETS

ON THE POLES OF IGUSA'S LOCAL ZETA FUNCTION FOR ALGEBRAIC SETS

Let K be a p-adic field, let ZĪ¦ (s, f), sāŠ†C, with Re(s) > 0, be the Igusa local zeta function associated to f(x) = (f1(x), ā€¦, fl(x)) āˆˆ [K (x1, ā€¦, xn)]l, and let Ī¦ be a Schwartzā€“Bruhat function. The aim of this paper is to describe explicitly the ā€¦