Timeline for Does there exist a half-integer weight theta function which is is equivalent to 1 modulo 4?
Current License: CC BY-SA 3.0
6 events
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Mar 11, 2015 at 22:37 | comment | added | Gerry Myerson | @Peter, half the front page is old questions that you have bumped by editing the tags. Please, do this kind of thing 3 or 4 per day, not 30 in half an hour. | |
Mar 11, 2015 at 18:06 | history | edited | Peter Humphries | CC BY-SA 3.0 |
added tag
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Mar 26, 2013 at 3:08 | vote | accept | stl | ||
Mar 21, 2013 at 5:33 | answer | added | paul Monsky | timeline score: 6 | |
Mar 19, 2013 at 23:03 | comment | added | paul Monsky | Maybe the following approach might be helpful.(I'm guessing that the answer to your question is no.) If there is such a theta, raising it to an appropriate odd power, multiplying what you get by 1+2(x+x^4+x^9+...), subtracting off an Eisenstein series and dividing by 2 would give a modular form of integral weight whose mod 2 reduction, g, is x+x^4+x^9+.... Then a theorem of Serre would imply that for any k almost all the coefficients of g^k are 0. I wonder what the evidence is for or against this claim about g. | |
Mar 19, 2013 at 19:08 | history | asked | stl | CC BY-SA 3.0 |