SOLUTION: Number Theory( I don't know where to put this, but since this has the symbol sigma in it, I put it here) 1. (2015 Putnam) For each positive integer k, let A(k) be the number o

Question 1195428: Number Theory( I don't know where to put this, but since this has the symbol sigma in it, I put it here)

1. (2015 Putnam) For each positive integer k, let A(k) be the number of odd divisors of k in the interval [1, \large \sqrt{2k}]]. Evaluate
\[ \sum_{k=1}^{\infty} (-1)^{k-1} \frac{A(k)}{k} \
Note: this is typed in latex, you could view it more properly here:
https://artofproblemsolving.com/texer/zrydkqmo
Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website!
.

https://kskedlaya.org/putnam-archive/2015s.pdf

Problem B6.

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