Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with hecke-operators
Search options not deleted
user 76102
1
vote
0
answers
117
views
Question about expression of a sum of two Hecke eigenvalues
I did some computations but I am stuck in finding the exression of the sum
$$\lambda_f(n^2)+\lambda_f(n)^2 $$ in terms of $\lambda_f(n),$ where $f$ is a modular form for the full modular group. Any he …
- 1,247
0
votes
1
answer
146
views
Expression of a sum of Hecke eigenvalues in terms of one Hecke eigenvalue
Let $f$ be a modular form of an even weight $k$ over the modular group $SL_2(Z).$ Denote $\lambda_f(n)$ the $n$-th normalized Fourier coefficient of $f.$ I am doing some calculations and I am stack in …
- 1,247
0
votes
Accepted
Expression of a sum of Hecke eigenvalues in terms of one Hecke eigenvalue
From the Hecke relation, we get
$$ \lambda_f(n)^2 =\sum_{d|n} \lambda_f\left(\frac{n^2}{d^2}\right).$$
- 1,247