Particular values of the Gamma function

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1	2011 U OF I UNDERGRAD MATH CONTEST Solutions 1. Given distinct points a1 < a2 < a3 < · · · < a100 on the real line, determine, with proof, the exact set of real numbers x P100 for which the sum i=1 \|x − ai \| takes i Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2011-03-11 18:02:38 Complex analysis Combinatorics Integer sequences Number theory Pi Factorial Summation Eisenstein series Particular values of the Gamma function Mathematics Mathematical analysis Mathematical series