>>436
>だから君の言う得られる結果の例にはディオファントス方程式の近似であるトゥエは含まれないだろって

??
下記では、abc conjectureから、 "3 Some consequences Roth's theorem on diophantine approximation of algebraic numbers.[5]"
となっているぜ
なお、[5] Bombieri, Enrico (1994)は、検索ヒットしないが、代わりに ”MACHIEL VAN FRANKENHUYSEN”1998をどぞ

https://en.wikipedia.org/wiki/Abc_conjecture
abc conjecture
3 Some consequences
・Roth's theorem on diophantine approximation of algebraic numbers.[5]
[5] Bombieri, Enrico (1994). "Roth's theorem and the abc-conjecture". Preprint. ETH Zurich.

http://swc.math.arizona.edu/aws/1998/ The Southwest Center for Arithmetic Geometry Arizona Winter School 1998
http://swc.math.arizona.edu/aws/1998/98ContribA.html Arizona Winter School 1998 Contributed Abstracts
Frankenhuysen: abc implies Roth's theorem and Mordell's conjecture
By recent work of Elkies (1991), abc implies effective Mordell. And in 1994, Bombieri showed that abc implies Roth's theorem about approximation of an algebraic number by rationals. The proofs of these two theorems are very similar. In this talk, I compare the two proofs. I will also show how a stronger form of Roth's theorem could follow from ABC.
http://swc.math.arizona.edu/aws/1998/98Frankenhuysen.pdf
THE ABC CONJECTURE IMPLIES ROTH’S THEOREM AND MORDELL’S CONJECTURE
MACHIEL VAN FRANKENHUYSEN
Abstract. We present in a unified way proofs of Roth’s theorem and an
effective version of Mordell’s conjecture, using the ABC conjecture. We also
show how certain stronger forms of the ABC conjecture give information about
the type of approximation to an algebraic number.

つづく