Timeline for Off critical line zeros for half integer weight $L$-functions
Current License: CC BY-SA 3.0
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| Oct 26, 2017 at 16:20 | answer | added | Karam Deo Shankhadhar | timeline score: 3 | |
| Mar 11, 2015 at 18:01 | history | edited | Peter Humphries |
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| Apr 19, 2013 at 21:40 | comment | added | Eren Mehmet Kiral | No I haven't done any computations, but how would one go about computing the zeros of such a modular form. I agree that for theta functions something special must be happening. | |
| Apr 17, 2013 at 3:08 | comment | added | rlo | Have you done any computations yourself? While I'm dubious that this should be true for almost any form, it's worth noting that $L(s,\theta_\chi)=L(2s-1/2,\chi)$ for a non-trivial Dirichlet character $\chi$, so RH presumably holds in this case. In general, though, the multiplicative structure of half-integral weight eigenforms is more complex, and I'd be very surprised if it were to hold if the form is orthogonal to the space of unary theta functions. | |
| Apr 16, 2013 at 20:43 | history | edited | user9072 |
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| Apr 16, 2013 at 18:33 | history | asked | Eren Mehmet Kiral | CC BY-SA 3.0 |