SlipEternal
Junior Member
- Joined
- Jan 4, 2012
- Messages
- 114
Is there a standard notation for this?
Let \(\displaystyle C\) be a set of conditions where given \(\displaystyle k \in \mathbb{Z}\), \(\displaystyle C\) implies \(\displaystyle \sum_{i=1}^n{a_i} = k, a_i \in \mathbb{Z}, a_i \ge 0\)
\(\displaystyle \sum_C{\left(\prod_{j=1}^n{f(a_i)}}\right)}\)
Essentially, I am trying to sum over all possible integral solutions to a Diophantine equation.
Let \(\displaystyle C\) be a set of conditions where given \(\displaystyle k \in \mathbb{Z}\), \(\displaystyle C\) implies \(\displaystyle \sum_{i=1}^n{a_i} = k, a_i \in \mathbb{Z}, a_i \ge 0\)
\(\displaystyle \sum_C{\left(\prod_{j=1}^n{f(a_i)}}\right)}\)
Essentially, I am trying to sum over all possible integral solutions to a Diophantine equation.