Timeline for Calculating the explicit constant – Siegel zeros and class numbers
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 12, 2022 at 18:49 | comment | added | Jeremy Rouse | My answer has been edited to include the restriction that $d > 10^{6}$. I referenced the paper in case you were interested or concerned about the cases where $d < 10^{6}$. | |
| Jun 12, 2022 at 18:47 | history | edited | Jeremy Rouse | CC BY-SA 4.0 |
added 9 characters in body
|
| Jun 12, 2022 at 17:52 | comment | added | Krishnarjun | My question was purely theoretic motivated in part by trying to understand the proof of the claim mentioned therein. The paper of Hoffstein that you mentioned is very helpful and I will take a look if I can tweak the proof of Lemma 1 to get what I want. The second reference that you gave, particularly Section 7 contains numerical data and I don't see how that answers my question. BTW I tried to edit your answer to reflect that $|d|$ should be atleast $10^6$ but I was not able to. Can you please change your ans so that others don't get the wrong info. Thanks. | |
| Jun 12, 2022 at 15:23 | comment | added | Jeremy Rouse | Apologies. The assumption $|d| > 10^{6}$ is required in the above paper. If you are interested in bounds on $L(1,\chi)$ for small and medium size $d$ ($|d| < 2^{40}$), you could look at Section 7 of the paper here by Mosunov and Jacobson. | |
| Jun 12, 2022 at 10:40 | comment | added | Krishnarjun | In Lemma 1 of the paper that you mentioned, they require $|d| > 10^6$ . I understand that doesn't affect the nature of the result, but since we are dealing with explicit constants here, I think that will create a problem. You have mentioned the same result for $|d| > 4$. Can you please clarify? | |
| Jun 11, 2022 at 13:54 | vote | accept | Krishnarjun | ||
| Jun 11, 2022 at 12:37 | history | answered | Jeremy Rouse | CC BY-SA 4.0 |