Problem Sessions

One of the attractions of West Coast Number Theory are the problem sessions. The sessions are freeform. If you have a question, ask it. If you have an answer to a previous question, give it. Questions and answers are bundled up and distributed prior to the next conference.

Here are PDF’s of the problems sets from previous meetings.

5 responses to “Problem Sessions

  1. In 2012 West Coast Number Theory Conference problem sets, in problem 012.11, Mits Kobayashi [1] proposed the following unsolved problem:
    For the divisor function σ, Is there any other solution to:
    σ(pe) = σ(qf )
    where p, q are distinct primes and e and f are integers greater than 1, other than σ(24) = σ(52)?
    In this paper I give the answer ”no” assumming f = 2.

  2. The case f = 2 is already covered by the Maohua Le paper mentioned in the remarks on 012:11.

  3. I actually solved problem 0-16-13 and the answer is gcd(alpha, gamma) = [gcd(a, c)]^n.

    Syrous Marivani

  4. Sorry, the correct answer is gcd(alpha, gamma) =[gcd(a, bc)]^n.

  5. I also solved Problem 015-13. The answer is yes. There are infinitely many integers n such that n, n + 1, n + 2, n + 3, n + 4, and n + 5 are sums of two squares.

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