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Sylvester’s problem and mock heegner points

Publication ,  Journal Article
Dasgupta, S; Voight, J
Published in: Proceedings of the American Mathematical Society
January 1, 2018

We prove that if p ≡ 4, 7 (mod 9) is prime and 3 is not a cube modulo p, then both of the equations x3 + y3 = p and x3 + y3 = p2 have a solution with x, y ∈ ℚ.

Duke Scholars

Published In

Proceedings of the American Mathematical Society

DOI

EISSN

1088-6826

ISSN

0002-9939

Publication Date

January 1, 2018

Volume

146

Issue

8

Start / End Page

3257 / 3273

Related Subject Headings

  • 4904 Pure mathematics
  • 0101 Pure Mathematics
 

Citation

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Chicago
ICMJE
MLA
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Dasgupta, S., & Voight, J. (2018). Sylvester’s problem and mock heegner points. Proceedings of the American Mathematical Society, 146(8), 3257–3273. https://doi.org/10.1090/proc/14008
Dasgupta, S., and J. Voight. “Sylvester’s problem and mock heegner points.” Proceedings of the American Mathematical Society 146, no. 8 (January 1, 2018): 3257–73. https://doi.org/10.1090/proc/14008.
Dasgupta S, Voight J. Sylvester’s problem and mock heegner points. Proceedings of the American Mathematical Society. 2018 Jan 1;146(8):3257–73.
Dasgupta, S., and J. Voight. “Sylvester’s problem and mock heegner points.” Proceedings of the American Mathematical Society, vol. 146, no. 8, Jan. 2018, pp. 3257–73. Scopus, doi:10.1090/proc/14008.
Dasgupta S, Voight J. Sylvester’s problem and mock heegner points. Proceedings of the American Mathematical Society. 2018 Jan 1;146(8):3257–3273.

Published In

Proceedings of the American Mathematical Society

DOI

EISSN

1088-6826

ISSN

0002-9939

Publication Date

January 1, 2018

Volume

146

Issue

8

Start / End Page

3257 / 3273

Related Subject Headings

  • 4904 Pure mathematics
  • 0101 Pure Mathematics