Timeline for How many residue classes mod $p$ does the image of a polynomial with integer coefficients occupy? (Status of a question of Chowla)
Current License: CC BY-SA 4.0
7 events
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| Dec 17, 2019 at 17:01 | comment | added | Mark Lewko | @Steven: This holds for a "generic" degree four polynomial. To understand what this means see the paper of Birch and Swinnerton-Dyer. | |
| Dec 17, 2019 at 15:21 | comment | added | Steven Landsburg | The result you (or Chowla) attribute to Davenport is clearly false for the polynomial $x^4$. Is there a hypothesis missing? | |
| Dec 17, 2019 at 7:44 | comment | added | Mark Lewko | @Lucia: thanks! this lead me to the following note of Birch and Swinnerton-Dyer on this exact question: eudml.org/doc/206420 | |
| Dec 17, 2019 at 7:34 | comment | added | Lucia | Have you seen arxiv.org/pdf/1409.7160.pdf, which has a discussion of such problems with references. | |
| Dec 17, 2019 at 7:09 | history | edited | Mark Lewko | CC BY-SA 4.0 |
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| Dec 17, 2019 at 7:00 | history | edited | Mark Lewko | CC BY-SA 4.0 |
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| Dec 17, 2019 at 6:52 | history | asked | Mark Lewko | CC BY-SA 4.0 |