Timeline for Closed formula for series $\sum_{i=1}^{\infty} \frac{1}{x^i-y^i}$
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Aug 8, 2023 at 17:04 | comment | added | borntomath | @GeraldEdgar: do you have a source (perhaps with proof) where I can look up these formulas? | |
| Aug 8, 2023 at 17:01 | comment | added | borntomath | Thanks for the comments! It seems to me that the formulas in mathoverflow.net/questions/186303/… don't work for a=1. Since they run from $-\infty$ to $+\infty$ they include n=0 and for a=1 the summand is not defined. | |
| Aug 5, 2023 at 20:42 | comment | added | Gerald Edgar | The sum in my reference is $-\infty$ to $\infty$, not $1$ to $\infty$. | |
| Aug 5, 2023 at 15:39 | comment | added | Sidharth Ghoshal | @GeraldEdgar i think letting your $q^2$ here mathoverflow.net/questions/186303/… Equal the OP’s $\frac{y}{x}$ recasts their sum with theta functions (assuming your $a=1$ and your $x$ is the reciprocal of OP’s $a$) | |
| Aug 5, 2023 at 13:01 | history | edited | borntomath | CC BY-SA 4.0 |
added 2 characters in body
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| Aug 4, 2023 at 10:39 | comment | added | Gerald Edgar | Related: math.stackexchange.com/q/4317994/442 | |
| Aug 4, 2023 at 10:36 | comment | added | joro | Wolfram alpha claims to solve the special case y=1: wolframalpha.com/… | |
| Aug 4, 2023 at 10:01 | history | asked | borntomath | CC BY-SA 4.0 |