Timeline for Basic question regarding notation of summation over primitive characters
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Oct 3, 2020 at 6:58 | comment | added | Johnny T. | Good point! Thank you very much! | |
| Oct 2, 2020 at 17:57 | comment | added | GH from MO | @TakeshiGouda: I think that Gallagher regards the constant function $\mathbb{Z}\to\{1\}$ a primitive character. This is apparent from his display (5), where he imposes the lower bound $1<q$. Also, Gallagher's remark below (2) makes it clear that he includes $\chi=1$ in (2). | |
| Oct 2, 2020 at 17:29 | comment | added | Johnny T. | Is this the definition used in zero density estimates like in link.springer.com/article/10.1007/BF01403187 ? I was also confused about this, because in Davenport (first page of chapter 5), he only defines primitive characters for nonprincipal characters. But I suppose he is ignoring the modulo 1 case? | |
| Apr 19, 2018 at 16:04 | vote | accept | Johnny T. | ||
| Apr 19, 2018 at 9:58 | history | edited | GH from MO | CC BY-SA 3.0 |
added 4 characters in body
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| Apr 19, 2018 at 9:52 | history | answered | GH from MO | CC BY-SA 3.0 |