Sylvester’s problem and mock heegner points

Journal Article (Journal Article)

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.

Full Text

Duke Authors

Cited Authors

  • Dasgupta, S; Voight, J

Published Date

  • January 1, 2018

Published In

Volume / Issue

  • 146 / 8

Start / End Page

  • 3257 - 3273

Electronic International Standard Serial Number (EISSN)

  • 1088-6826

International Standard Serial Number (ISSN)

  • 0002-9939

Digital Object Identifier (DOI)

  • 10.1090/proc/14008

Citation Source

  • Scopus