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Omni-MATH / For a positive integer n, let θ(n) denote the number of integers 0≤x<2010 such that x²−n is divisible by 2010. Determine the remainder when ∑_(n=0)²⁰⁰⁹n⋅θ(n) is divided by 2010. · Discussion

Discussing For a positive integer n, let θ(n) denote the number of integers 0≤x<2010 such that x²−n is divisible by 2010. Determine the remainder when ∑_(n=0)²⁰⁰⁹n⋅θ(n) is divided by 2010. · Omni-MATH

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