On Certain Combinatorial Diophantine Equations and Their Connection to Pythagorean Numbers

نویسندگان

  • ROBERT S. COULTER
  • FELIX LAZEBNIK
چکیده

We call any (m+2)-tuple (n, r, r1, . . . , rm) satisfying this equation a binomial knapsack. The problem first came to the authors’ attention when considering a problem on symmetric functions, but the name is derived from the connection to knapsacktype problems. This article considers the simplest case of this problem. That is, we consider the problem of determining all 4-tuples (n, r, s, t) satisfying

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تاریخ انتشار 2006