Timeline for Hecke operators acting on the Weierstrass $\wp$-function
Current License: CC BY-SA 4.0
12 events
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Jan 10, 2023 at 14:21 | comment | added | David Loeffler | That is not the right definition for $\Gamma_1(N)$ either (it will not leave $M_k(\Gamma_1(N))$ invariant). | |
Jan 9, 2023 at 22:35 | history | edited | Adithya Chakravarthy | CC BY-SA 4.0 |
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Jan 7, 2023 at 23:48 | comment | added | Adithya Chakravarthy | @reuns I'm pretty sure the Hecke operators are defined the same way as they are for $M_2(\Gamma_1(N))$: for $p$ not dividing $N$, the operator $T_p$ sends $f(\tau)$ to $$\sum_{i=0}^{p-1}f\left( \dfrac{\tau+i}{p}\right) + pf(p\tau).$$ And for $p$ dividing $N$, the operator $T_p$ sends $f(\tau)$ to $$\sum_{i=0}^{p-1}f\left( \dfrac{\tau+i}{p}\right).$$ | |
Jan 7, 2023 at 21:04 | comment | added | reuns | What is the Hecke operator on $M_2(\Gamma(N))$ again? | |
Jan 7, 2023 at 20:34 | history | edited | Adithya Chakravarthy |
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Jan 7, 2023 at 17:27 | history | edited | Adithya Chakravarthy | CC BY-SA 4.0 |
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Jan 7, 2023 at 4:46 | history | edited | Adithya Chakravarthy | CC BY-SA 4.0 |
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Jan 7, 2023 at 4:24 | history | edited | Adithya Chakravarthy | CC BY-SA 4.0 |
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Jan 7, 2023 at 0:31 | comment | added | LSpice | Spelling note: 'Weierstrass', not 'Weierstrauss'. I have edited accordingly. | |
Jan 7, 2023 at 0:31 | history | edited | LSpice | CC BY-SA 4.0 |
Spelling; link to book; deleted smiley
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Jan 6, 2023 at 20:38 | history | edited | Adithya Chakravarthy | CC BY-SA 4.0 |
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Jan 6, 2023 at 20:31 | history | asked | Adithya Chakravarthy | CC BY-SA 4.0 |