On Wendt's Determinant and Sophie Germain's Theorem

@article{Ford1993OnWD,
  title={On Wendt's Determinant and Sophie Germain's Theorem},
  author={D. Ford and V. Jha},
  journal={Exp. Math.},
  year={1993},
  volume={2},
  pages={113-120}
}
  • D. Ford, V. Jha
  • Published 1993
  • Mathematics, Computer Science
  • Exp. Math.
  • After a brief review of partial results regarding Case I of Fermat's Last Theorem, we discuss the relationship between the number of points on Fermat's curve modulo a prime and the resultant Rn of the polynomials X n – 1 and (–1 − x) n – 1, called Wendt's determinant. The investigation of a conjecture about essential prime factors of R n (Conjecture 1.3) leads to a proof that CaseI of Fermat's LastTheorem holds for any prime exponent p > 2 such that np + 1 is prime for some integer n ≤ 500 not… CONTINUE READING
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    References

    SHOWING 1-10 OF 28 REFERENCES
    The first case of Fermat's last theorem
    • 27
    Fermat’s last theorem (case 1) and the Wieferich criterion
    • 10
    • PDF
    The Book of Prime Number Records
    • 310
    Cyclotomic Fields I and II
    • 226
    Experimental Mathematics
    • 128
    • PDF
    MATH
    • 24,378
    • PDF
    Maple V Language Reference Manual
    • 584
    Zum letzten Fermatschen Theorem.
    • 69
    • Highly Influential
    Montr eal, Qu ebec, Canada (jha@abacus.concordia.ca) Received May 17
    • Montr eal, Qu ebec, Canada (jha@abacus.concordia.ca) Received May 17
    • 1993