Timeline for L-series of difference of two cusp forms
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Mar 27, 2017 at 20:02 | history | edited | Peter Humphries | CC BY-SA 3.0 |
added 313 characters in body
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| Mar 27, 2017 at 19:49 | comment | added | GH from MO | Instead of Deligne's theorem (which is very deep and specific for holomorphic cusp forms), it suffices for the first part that $\sum_{n\leq x}|\lambda_f(n)|^2\ll_f x$, which is quite easy to prove. For the second part a bit more is needed, but Deligne's theorem is still an overkill. | |
| Mar 27, 2017 at 19:31 | history | edited | GH from MO | CC BY-SA 3.0 |
the k-sums now start at k=2 instead of k=1 (as they should)
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| Mar 27, 2017 at 19:03 | history | edited | Peter Humphries | CC BY-SA 3.0 |
added 842 characters in body
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| Mar 27, 2017 at 18:53 | comment | added | Goro | Thank you! If I may ask a related question: I know that there is an automorphic rep with the same $L$-function as $Sym^2 f$. Why does it follow that $$\sum_{p} \frac{\lambda_f(p^2)}{p^s}$$ is also bounded when $s\to 1^{+}$? | |
| Mar 27, 2017 at 18:47 | vote | accept | Goro | ||
| Mar 27, 2017 at 18:41 | history | answered | Peter Humphries | CC BY-SA 3.0 |