Note on the ABC Conjecture

[IV82] A. Ivic, P. Shiu, The distribution of powerful integers. Illinois J. Math. 26 (1982), no. [OpenAIRE]

[LG90] S Lang, Old and New Conjectures in Diophantine Inequalities, Bull. Amer. Math.

Soc. 23, 37-75, 1990.

[LN02] Lenstra, H. W., Jr.; Pila, J.; Pomerance, Carl. A hyperelliptic smoothness test. II.

Proc. London Math. Soc. (3) 84 (2002), no. 1, 105-146.

[LN93] Lenstra, H. W., Jr.; Pila, J.; Pomerance, Carl. A hyperelliptic smoothness test. I.

Philos. Trans. Roy. Soc. London Ser. A 345 (1993), no. 1676, 397-408.

[LN87] Lenstra, H. W., Jr. Factoring integers with elliptic curves. Ann. of Math. (2) 126 (1987), no. 3, 649-673.

[LR70] D. H. Lehmer, Note on the Distribution of Ramanujan's Tau Function , Mathematics of Computation Vol. 24, No. 111 (Jul., 1970), pp. 741-743.

[NJ06] A Nitaq, The ABC Conjecture Web Page, math.unicaem.fr/~nitaq/abc.html.

[NJ03] ______, Algorithms for finding good examples for the $abc$ and Szpiro conjectures.

Experiment. Math. 2 (1993), no. 3, 223-230.

[NJ96] ______, La conjecture abc, Enseign. Math. Vol. 2, No. 42 (1996), pp. 3-24.

[MR00] B Masur, Questions About Powers of Numbers, Notice AMS, Vol 47, No. 2, 2000, pp. 195-202.

[MO05] Moreno, C. J., Advanced analytic number theory: L-functions. Monographs, 115. American Mathematical Society, Providence, RI, 2005.