<oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
<dc:title>Solvability of systems of general equations over finite fields</dc:title>
<dc:creator>Anh vinh Le</dc:creator>
<dc:subject>52C10</dc:subject><dc:subject>11T23</dc:subject><dc:subject>general equations</dc:subject><dc:subject>general distances</dc:subject><dc:subject>finite fields</dc:subject>
<dc:description>In this paper, we study systems of general equations over finite fields via colored directed expanders. We show that almost all systems of general equations are solvable in any large subset of vector spaces over finite fields.</dc:description>
<dc:publisher>Indiana University Mathematics Journal</dc:publisher>
<dc:date>2014</dc:date>
<dc:type>text</dc:type>
<dc:format>pdf</dc:format>
<dc:identifier>10.1512/iumj.2014.63.5189</dc:identifier>
<dc:source>10.1512/iumj.2014.63.5189</dc:source>
<dc:language>en</dc:language>
<dc:relation>Indiana Univ. Math. J. 63 (2014) 281 - 302</dc:relation>
<dc:coverage>state-of-the-art mathematics</dc:coverage>
<dc:rights>http://iumj.org/access/</dc:rights>
</oai_dc:dc>