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Appendix by D. Zagier The Eichler-Selberg Trace Formula on SLiZ) Throughout this appendix we let r=r(1)=SL 2 (Z). We let Fbe a fundamental domain for r in D. We fix a weight k even ~4. We write T(m) instead of Tk(m) for

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• Mathematical analysis
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THEOREM OF THE DAY Faulhaber’s Formula The sum of the r-th powers of the first n positive integers is given by ! r X 1

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• Mathematical analysis
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THEOREM OF THE DAY Faulhaber’s Formula The sum of the r-th powers of the first n positive integers is given by ! r X 1

Source URL: theoremoftheday.org