Sum of powers of zero

Question

I would like to calculate the following sum

Sum[0^(k-a), {k, 0, Nin}]

for a positive integer $a$.

With considering $0^0=1$, my expected answer of the sum is $1$, which is obtained for $k=a$, while ignoring the other terms for $k\neq a$.

Can this be made in Mathematica somehow?

Since you want to arbitrarily equate the sum to 1 just use
Sum[0^(k - a), {k, 0, Nin}] /. _ -> 1 — Bob Hanlon, Jun 14 '19 at 13:41

score 1 · Answer 1 · answered Jun 16 '19 at 00:05

1

Use KroneckerDelta[n] or DiscreteDelta[n] instead of 0^n.

answered Jun 16 '19 at 00:05

Somos

1 Answers1