On a limit point associated with the abc-conjecture
نویسندگان
چکیده
منابع مشابه
ON A LIMIT POINT ASSOCIATED WITH THE abc{CONJECTURE
Let Q(n) denote the squarefree part of n so that Q(n) = Q pjn p. Throughout, we set a,b, and c to be positive relatively prime integers with c = a + b. Deene L a;b = log c log Q(abc) : The abc-conjecture of Masser and Oesterl e asserts that the greatest limit point of the double sequence fL a;b g is 1. Recently, in joint work with Browkin, Greaves, Schinzel, and the rst author 1], it was shown ...
متن کاملA More General Abc Conjecture
In this note we formulate a conjecture generalizing both the abc conjecture of Masser-Oesterlé and the author’s diophantine conjecture for algebraic points of bounded degree. We also show that the latter conjecture implies the new conjecture. As with most of the author’s conjectures, this new conjecture stems from analogies with Nevanlinna theory. In this particular case the conjecture correspo...
متن کاملthe effect of task cognitive complexity and time limit on the performance of the learners with different proficiency levels in second language writing skill
this study investigated the effects of manipulating the cognitive complexity of tasks along +/- few elements and the time limits on l2 learners writing performance. to conduct the study, 60 iranian efl learners with two levels of proficiency, low and high intermediate, were selected and assigned to three groups based on the time devoted to task completion. the participants performed both a simp...
15 صفحه اولA Proof of the ABC Conjecture
We first get rid of three kinds from A+B=C according to their respective odevity and gcf (A, B, C) =1. After that, expound relations between C and raf (ABC) by the symmetric law of odd numbers. Finally we have proven C≤Cε [raf (ABC)] 1+ ε in which case A+B=C, where gcf (A, B, C) =1. AMS subject classification: 11A99, 11D99, 00A05.
متن کاملThe Abc Conjecture Implies Roth’s Theorem and Mordell’s Conjecture
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.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 1998
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm-76-2-265-268