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Complex analysis / Combinatorics / Integer sequences / Number theory / Pi / Factorial / Summation / Eisenstein series / Particular values of the Gamma function / Mathematics / Mathematical analysis / Mathematical series
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

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

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