Timeline for $p$-adic analogue of modular forms, upper half-plane, and $L$-functions
Current License: CC BY-SA 4.0
7 events
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| Feb 20, 2023 at 21:52 | comment | added | chbe | @LSpice Thanks for the comment! I looked at the paper, and indeed it is not what I have in mind for the same reason as mentioned by Loeffler. I guess what I was hoping to see, which is also mentioned in Loeffler's comment, are functions from a p-adic analogue of the upper half plane to a p-adic analogue of the complex numbers (the latter can probably be taken as C_p). | |
| Feb 20, 2023 at 18:50 | comment | added | David Loeffler | The Sally--Taibleson paper looks like it's answering a slightly different question to me. They are working with complex-valued functions on a p-adic space, so this is actually more relevant to the "classical" theory of modular forms than the p-adic one, which is distinguished by the fact that one considers functions from p-adics to p-adics. | |
| Feb 20, 2023 at 17:35 | answer | added | David Loeffler | timeline score: 9 | |
| Feb 20, 2023 at 17:19 | comment | added | LSpice | I'm sure the state of knowledge has moved far on since then, but there is a paper by Sally and Taibleson called Special functions on locally compact fields that was a very early attempt at starting to answer this sort of question. | |
| Feb 20, 2023 at 17:11 | history | edited | YCor | CC BY-SA 4.0 |
formatting, added tag
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| S Feb 20, 2023 at 17:04 | review | First questions | |||
| Feb 20, 2023 at 17:52 | |||||
| S Feb 20, 2023 at 17:04 | history | asked | chbe | CC BY-SA 4.0 |