untitled
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<responseDate>2018-01-15T15:37:47Z</responseDate>
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<identifier>oai:HAL:hal-00551478v1</identifier>
<datestamp>2017-12-21</datestamp>
<setSpec>type:UNDEFINED</setSpec>
<setSpec>subject:math</setSpec>
<setSpec>collection:INSMI</setSpec>
<setSpec>collection:BNRMI</setSpec>
<setSpec>collection:UNIV-AG</setSpec>
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<metadata><dc>
<publisher>HAL CCSD</publisher>
<title lang=en>p-Density, exponential sums and Artin-Schreier curves</title>
<creator>Blache, Régis</creator>
<contributor>Laboratoire de Mathématiques Informatique et Applications (LAMIA) ; Université des Antilles et de la Guyane (UAG)</contributor>
<identifier>hal-00551478</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-00551478</identifier>
<source>https://hal.archives-ouvertes.fr/hal-00551478</source>
<source>2008</source>
<identifier>ARXIV : 0812.3382</identifier>
<relation>info:eu-repo/semantics/altIdentifier/arxiv/0812.3382</relation>
<language>en</language>
<subject lang=en>Character sums</subject>
<subject lang=en>$L$-functions</subject>
<subject lang=en>Newton polygons</subject>
<subject lang=en>Chevalley-Warning theorem</subject>
<subject>11L,14H</subject>
<subject>[MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]</subject>
<subject>[MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG]</subject>
<type>info:eu-repo/semantics/preprint</type>
<type>Preprints, Working Papers, ...</type>
<description lang=en>In this paper we define the $p$-density of a finite subset $Dsubsetma{N}^r$, and show that it gives a good lower bound for the $p$-adic valuation of exponential sums over finite fields of characteristic $p$. We also give an application: when $r=1$, the $p$-density is the first slope of the generic Newton polygon of the family of Artin-Schreier curves associated to polynomials with their exponents in $D$.</description>
<date>2008-12-17</date>
</dc>
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