J. Coates, “An effective $p$-adic analogue of a theorem of Thue. III. The diophantine equation $y^2=x^3+k$”, Matematika, 17:5 (1973), 57–66; Acta Arith., 16 (1970), 425

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Matematika, 1973, Volume 17, Issue 5, Pages 57–66 (Mi mat694)

An effective $p$-adic analogue of a theorem of Thue. III. The diophantine equation $y^2=x^3+k$

J. Coates

Full-text PDF (556 kB)

Original version, English (translated by O. M. Fomenko and A. A. Karatsuba):
Matematika, 1973, Volume 17, Issue 5, Pages 57–66

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: J. Coates, “An effective $p$-adic analogue of a theorem of Thue. III. The diophantine equation $y^2=x^3+k$”, Matematika, 17:5 (1973), 57–66; Acta Arith., 16 (1970), 425–435

Citation in format AMSBIB

\Bibitem{Coa73}

\by J.~Coates

\paper An effective $p$-adic analogue of a theorem of Thue. III.~The diophantine equation $y^2=x^3+k$

\jour Matematika

\yr 1973

\vol 17

\issue 5

\pages 57--66

\mathnet{http://mi.mathnet.ru/mat694}

\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=0263742}

\zmath{https://zbmath.org/?q=an:0221.10027|0282.10011}

\transl

\jour Acta Arith.

\yr 1970

\vol 16

\pages 425--435

Linking options:

https://www.mathnet.ru/eng/mat694

https://www.mathnet.ru/eng/mat/v17/i5/p57

Cycle of papers

An effective $p$-adic analogue of a theorem of Thue
J. Coates
Matematika, 1973, 17:3, 52–76
An effective $p$-adic analogue of a theorem of Thue. II. The greatest prime factor of a binary form
J. Coates
Matematika, 1973, 17:3, 77–89
An effective $p$-adic analogue of a theorem of Thue. III. The diophantine equation $y^2=x^3+k$
J. Coates
Matematika, 1973, 17:5, 57–66

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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