One has:
- $\sum_n x^n$: sum of powers,
- $\sum_n \frac{1}{x^n}$: sum of reciprocal of powers,
- $\sum_p \frac{1}{x^p}$: ?
Note that $p\in\mathbb{P}$, where $\mathbb{P}$ denotes the set of prime numbers.
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Klangen
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3Sum of reciprocal-prime powers? – Randall Jan 22 '18 at 15:02
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2@Randall "Prime powers" usually refers to $p^n$, though, not $x^p$... – Arthur Jan 22 '18 at 15:03
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3Sum of reciprocal pickle-powers. – Dietrich Burde Jan 22 '18 at 15:06
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1@Randall Words are non-associative, and when you write words without brackets, you can't expect people to associate them the way you want them to, especially when you mess with words that usually come together :-) – Arthur Jan 22 '18 at 15:07
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1Sum of reciprocal powers of $x$ with prime exponents. – Alex Jan 22 '18 at 15:09
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@Alex Is there any way to shorten that? – Klangen Jan 22 '18 at 15:10
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I do not see a good way to shorten that. – Alex Jan 22 '18 at 15:12
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1easy to shorten just call it The Pickle 's Sum.. – user577215664 Jan 22 '18 at 15:32
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Sum of $x$ to the minus prime power. – Enrico M. Jan 22 '18 at 15:32
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Honest question: why does it need a name? – Randall Jan 22 '18 at 20:20
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@Randall Another way of saying would be "how would you describe this sum in as few terms as possible"? – Klangen Jan 22 '18 at 20:53