Lecture----数学院晨兴数学中心

Title:	A classification of Newton polygons of L-functions on polynomials
Speaker:	冷福生 ()
Time:	2015-4-23, 16:00-17:30
Place:	610
Abstract:	Considering the L-function of exponential sums associated to a polynomial over a finite field F_q, we proved that there are only finitely many possible forms of Newton polygons for the L-function of degree d polynomial independent of p, when p is larger than a constant D(depend on d only), i.e., a reciprocal root's p-adic order has form (up-v)/(p-1)D in which u/D, v/D have finitely many possible values. Furthermore, when p>D, to determine the Newton polygon is only to determine it for any two specified primes p_1, p_2>D in the same residue class of D*.
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