\relax 
\providecommand\hyper@newdestlabel[2]{}
\providecommand\HyperFirstAtBeginDocument{\AtBeginDocument}
\HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined
\global\let\oldcontentsline\contentsline
\gdef\contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}}
\global\let\oldnewlabel\newlabel
\gdef\newlabel#1#2{\newlabelxx{#1}#2}
\gdef\newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}}
\AtEndDocument{\ifx\hyper@anchor\@undefined
\let\contentsline\oldcontentsline
\let\newlabel\oldnewlabel
\fi}
\fi}
\global\let\hyper@last\relax 
\gdef\HyperFirstAtBeginDocument#1{#1}
\providecommand*\HyPL@Entry[1]{}
\citation{clary}
\HyPL@Entry{0<</S/D>>}
\@writefile{toc}{\contentsline {section}{\numberline {1}Introduction}{1}{section.1}}
\newlabel{equ.mnyq31m}{{1}{1}{Introduction}{equation.1.1}{}}
\newlabel{equ.gd1awb5}{{2}{1}{Introduction}{equation.1.2}{}}
\citation{adegoke}
\newlabel{equ.aa5tal0}{{3}{2}{Introduction}{equation.1.3}{}}
\newlabel{equ.ewu6n75}{{5}{2}{Introduction}{equation.1.5}{}}
\newlabel{equ.bnbadtf}{{6}{2}{Introduction}{equation.1.6}{}}
\newlabel{equ.px681ib}{{7}{2}{Introduction}{equation.1.7}{}}
\@writefile{toc}{\contentsline {section}{\numberline {2}Required identities and preliminary results}{3}{section.2}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2.1}Telescoping summation identity}{3}{subsection.2.1}}
\newlabel{finall}{{1}{3}{}{theorem.1}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2.2}First-power Fibonacci summation identities}{3}{subsection.2.2}}
\newlabel{thm.esyph89}{{2}{3}{}{theorem.2}{}}
\newlabel{equ.q79u3q4}{{9}{3}{First-power Fibonacci summation identities}{equation.2.9}{}}
\newlabel{equ.jv8ztfh}{{10}{3}{First-power Fibonacci summation identities}{equation.2.10}{}}
\newlabel{equ.w8cpa7u}{{11}{3}{First-power Fibonacci summation identities}{equation.2.11}{}}
\newlabel{equ.ztsb3uk}{{12}{3}{First-power Fibonacci summation identities}{equation.2.12}{}}
\newlabel{equ.gv7zoe2}{{13}{4}{First-power Fibonacci summation identities}{equation.2.13}{}}
\newlabel{equ.yb05ue2}{{15}{4}{First-power Fibonacci summation identities}{equation.2.15}{}}
\newlabel{equ.jjkzwa0}{{16}{4}{First-power Fibonacci summation identities}{equation.2.16}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2.3}First-power Lucas summation identities}{4}{subsection.2.3}}
\newlabel{thm.hnf079l}{{3}{4}{}{theorem.3}{}}
\citation{clary}
\citation{dresel}
\newlabel{equ.gimtkiy}{{17}{5}{First-power Lucas summation identities}{equation.2.17}{}}
\newlabel{equ.jhbv3g7}{{18}{5}{First-power Lucas summation identities}{equation.2.18}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2.4}Other identities}{6}{subsection.2.4}}
\newlabel{thm.w3ql3gi}{{4}{6}{}{theorem.4}{}}
\newlabel{equ.oyvdke0}{{21}{6}{Other identities}{equation.2.21}{}}
\newlabel{equ.gs4xocq}{{22}{6}{Other identities}{equation.2.22}{}}
\newlabel{equ.mpb5qh0}{{23}{6}{Other identities}{equation.2.23}{}}
\newlabel{equ.fpjkos2}{{24}{6}{Other identities}{equation.2.24}{}}
\citation{dresel}
\newlabel{thm.cdcw5y2}{{5}{7}{}{theorem.5}{}}
\newlabel{equ.aiunttr}{{25}{7}{Other identities}{equation.2.25}{}}
\newlabel{equ.gr4yegj}{{26}{7}{Other identities}{equation.2.26}{}}
\newlabel{thm.ip29mgz}{{6}{7}{}{theorem.6}{}}
\newlabel{thm.c1bi001}{{7}{7}{}{theorem.7}{}}
\newlabel{thm.c6tpo1r}{{8}{7}{}{theorem.8}{}}
\newlabel{thm.da8g4ih}{{9}{8}{}{theorem.9}{}}
\newlabel{thm.kquo1a5}{{10}{8}{}{theorem.10}{}}
\newlabel{thm.powhazn}{{11}{8}{}{theorem.11}{}}
\@writefile{toc}{\contentsline {section}{\numberline {3}Main results}{8}{section.3}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.1}Sums of cubes of Fibonacci numbers}{8}{subsection.3.1}}
\newlabel{thm.antrd3y}{{12}{8}{}{theorem.12}{}}
\newlabel{equ.dpiq8yz}{{27}{8}{Sums of cubes of Fibonacci numbers}{equation.3.27}{}}
\citation{howard}
\newlabel{equ.wwhhpdy}{{28}{10}{Sums of cubes of Fibonacci numbers}{equation.3.28}{}}
\citation{howard}
\newlabel{equ.wodrq78}{{30}{11}{Sums of cubes of Fibonacci numbers}{equation.3.30}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.2}Sums of cubes of Lucas numbers}{12}{subsection.3.2}}
\newlabel{thm.htq3o7h}{{16}{12}{}{theorem.16}{}}
\bibcite{adegoke}{1}
\bibcite{clary}{2}
\bibcite{dresel}{3}
\bibcite{howard}{4}
\bibcite{melham2000}{5}
\newlabel{thm.qa1rrs8}{{17}{13}{}{theorem.17}{}}
\@writefile{toc}{\contentsline {section}{\numberline {4}Acknowledgment}{13}{section.4}}
