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<Text-field style="Heading 1" layout="Normal">identidades de Rogers-Ramanujan,</Text-field>
<Text-field style="Text" layout="Normal"><Font italic="true">n.</Font><Font encoding="UTF-8">  o par de identidades, sujeito ambos os termos da equa\303\247\303\243o sendo definido:</Font></Text-field>
<Text-field style="2D Math" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
<Text-field style="Text" layout="Normal"> </Text-field>
<Text-field style="2D Math" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Estas identidades foram inicialmente formuladas por  Ramanujan sem prova em uma carta a Hardy; contudo, Rogers tinha anteriormente dado uma prova como uma consequ\303\252ncia de algumas identidades mais gerais que at\303\251 ent\303\243o tinham sido ignoradas.</Font></Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
</Worksheet>