Timeline for Convolution sum of divisor functions
Current License: CC BY-SA 4.0
14 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 24, 2023 at 14:50 | answer | added | G. Melfi | timeline score: 2 | |
| Sep 18, 2023 at 2:11 | vote | accept | Adithya Chakravarthy | ||
| Apr 9, 2023 at 13:59 | comment | added | colt_browning | The relevant OEIS entry is oeis.org/A055507 , but the references there are apparently mostly about asymptotic properties. | |
| Apr 9, 2023 at 13:58 | comment | added | Adithya Chakravarthy | @colt_browning Thanks for catching that - I fixed it so that $k$ runs from $k=1, \dots, n-1$. | |
| Apr 9, 2023 at 13:57 | history | edited | Adithya Chakravarthy | CC BY-SA 4.0 |
added 4 characters in body
|
| Apr 9, 2023 at 13:57 | comment | added | colt_browning | @AdithyaChakravarthy Yes, and the 2nd factor is $\sigma_0(n-k)$, which becomes $\sigma_0(0)$ for $k=n$. | |
| Apr 9, 2023 at 13:53 | comment | added | Adithya Chakravarthy | @colt_browning Nope, I don't think it involves $\sigma_0(0)$. The summation over $k$ in the definition of $S(n)$ is for $k=1,\dots,n$. | |
| Apr 9, 2023 at 13:51 | comment | added | colt_browning | This definition apparently involves $\sigma_0(0)$. Is that right? | |
| Apr 9, 2023 at 9:17 | history | became hot network question | |||
| Apr 9, 2023 at 0:01 | answer | added | kodlu | timeline score: 6 | |
| Apr 8, 2023 at 22:44 | comment | added | Adithya Chakravarthy | Sure, here's my motivation: I'm studying a product of two Eisenstein series. The Fourier coefficients of Eisenstein series are divisor functions, and it turns out the Fourier coefficients of the product of Eisenstein series is a convolution of divisor functions. I'm interested in how the Fourier coefficients of this product of Eisenstein series are distributed mod $p$, which leads me to ask how this convolution of divisor sums is distributed mod $p$. | |
| Apr 8, 2023 at 22:37 | comment | added | Anurag Sahay | You probably want to use additive characters mod 𝑝 here instead of multiplicative characters. Do you mind saying a bit about your motivation for asking this question? Is it just curiosity, or did it arise from some other considerations? | |
| Apr 8, 2023 at 22:23 | history | edited | Adithya Chakravarthy | CC BY-SA 4.0 |
deleted 19 characters in body
|
| Apr 8, 2023 at 22:10 | history | asked | Adithya Chakravarthy | CC BY-SA 4.0 |