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Omni-MATH / For each positive integer k, let A(k) be the number of odd divisors of k in the interval [1,√(2k)). Evaluate ∑_(k=1)^(∞)(−1)^(k−1)(A(k))/(k). · Discussion

Discussing For each positive integer k, let A(k) be the number of odd divisors of k in the interval [1,√(2k)). Evaluate ∑_(k=1)^(∞)(−1)^(k−1)(A(k))/(k). · Omni-MATH

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