<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-04-17T02:42:54Z</responseDate><request verb="GetRecord" identifier="oai:www.recercat.cat:2117/18846" metadataPrefix="marc">https://recercat.cat/oai/request</request><GetRecord><record><header><identifier>oai:recercat.cat:2117/18846</identifier><datestamp>2025-07-17T10:25:46Z</datestamp><setSpec>com_2072_1033</setSpec><setSpec>col_2072_452950</setSpec></header><metadata><record xmlns="http://www.loc.gov/MARC21/slim" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:doc="http://www.lyncode.com/xoai" xsi:schemaLocation="http://www.loc.gov/MARC21/slim http://www.loc.gov/standards/marcxml/schema/MARC21slim.xsd">
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      <subfield code="a">dc</subfield>
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   <datafield ind2=" " ind1=" " tag="720">
      <subfield code="a">Ball, Simeon Michael</subfield>
      <subfield code="e">author</subfield>
   </datafield>
   <datafield ind2=" " ind1=" " tag="260">
      <subfield code="c">2012</subfield>
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      <subfield code="a">The polynomial method refers to the application of polynomials to combinatorial&#xd;
problems. The method is particularly effective for Galois geometries and a number&#xd;
of problems and conjectures have been solved using the polynomial method. In many&#xd;
cases the polynomial approach is the only method which we know of that works. In this&#xd;
article, the various polynomial techniques that have been applied to Galois geometries&#xd;
are detailed and, to demonstrate how to apply these techniques, some of the problems&#xd;
referred to above are resolved.</subfield>
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      <subfield code="a">Postprint (published version)</subfield>
   </datafield>
   <datafield tag="653" ind2=" " ind1=" ">
      <subfield code="a">Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra</subfield>
   </datafield>
   <datafield tag="653" ind2=" " ind1=" ">
      <subfield code="a">Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de cossos i polinomis</subfield>
   </datafield>
   <datafield tag="653" ind2=" " ind1=" ">
      <subfield code="a">Algebra</subfield>
   </datafield>
   <datafield tag="653" ind2=" " ind1=" ">
      <subfield code="a">Polynomials</subfield>
   </datafield>
   <datafield tag="653" ind2=" " ind1=" ">
      <subfield code="a">Àlgebra abstracta</subfield>
   </datafield>
   <datafield tag="653" ind2=" " ind1=" ">
      <subfield code="a">Galois, Teoria de</subfield>
   </datafield>
   <datafield ind2="0" ind1="0" tag="245">
      <subfield code="a">The polynomial method in Galois geometries</subfield>
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