p-adic Valuation of Exponential Sums in One Variable Associated to Binomials
نویسندگان
چکیده
منابع مشابه
p-ADIC VARIATION OF L FUNCTIONS OF ONE VARIABLE EXPONENTIAL SUMS, II
Let d ≥ 3 be an integer and p a prime coprime to d. Let Q and Qp be the algebraic closure of Q and Qp respectively. Let Zp be the ring of integers of Qp. Suppose f(x) is a degree-d polynomial in (Q ∩ Zp)[x]. Let Q(f) be the number field generated by coefficients of f in Q. Let P be a prime ideal in the ring of integers OQ(f) of Q(f) lying over p, with residue field Fq for some p-power q. Let A ...
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We shall determine the generic Newton polygon of L-functions of exponential sums associated to Laurent polynomials in one variable. Throughout this paper, p denotes a prime number, and q denotes a power of p. Write Fp := Z/pZ. Let F̄p be a fixed algebraic closure of the finite field Fp, and Fq the finite field with q elements in F̄p. Let f be a Laurent polynomial over Fq. We assume that the leadi...
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ژورنال
عنوان ژورنال: Uniform distribution theory
سال: 2017
ISSN: 2309-5377
DOI: 10.1515/udt-2017-0003