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Equations over function fields

Part of the Lecture Notes in Mathematics book series (LNM,volume 1068)

Keywords

  • Function Field
  • Characteristic Zero
  • Number Field
  • Integer Solution
  • Diophantine Equation

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References

  1. Baker, A. Contributions to the theory of Diophantine equations: I On the representation of integers by binary forms, Philos. Trans. Roy. Soc. London Ser. A263 (1968), 173–191.

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  2. Baker, A. and Coates, J. Integer points on curves of genus 1, Proc. Camb. Philos. Soc. 67(1970), 595–602.

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  3. Mason, R.C. On Thue’s equation over function fields, J. London Math. Soc. Ser. 2 24 (1981), 414–426.

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  4. Mason, R.C. The hyperelliptic equation over function fields, Proc. Camb. Philos. Soc. 93(1983), 219–230.

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  5. Mason, R.C. Diophantine equations over function fields, LMS Lecture Notes, Cambridge University Press, to appear.

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  6. Osgood, C.F. An effective lower bound on the "Diophantine approximation" of algebraic functions by rational functions, Mathematika 20(1973), 4–15.

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  7. Schmidt, W.M. Thue’s equation over function fields, J. Austral. Math. Soc. Ser.A 25(1978), 385–422.

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  8. Schmidt, W.M. Polynomial solutions of F(x,y) = zn. Queen’s Papers in Pure Appl. Math., 54(1980), 33–65

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  9. Thue, A. Über Annäherungswerte algebraischer Zahlen, J. Reine Angew. Math. 135(1909), 284–305.

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© 1984 Springer-Verlag

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Mason, R.C. (1984). Equations over function fields. In: Jager, H. (eds) Number Theory Noordwijkerhout 1983. Lecture Notes in Mathematics, vol 1068. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099449

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  • DOI: https://doi.org/10.1007/BFb0099449

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13356-8

  • Online ISBN: 978-3-540-38906-4

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