An Upper Bound for the Size of Integral Solutions to Ym=ƒ(X)

✍ Scribed by P.M. Voutier

• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 739 KB
• Volume: 53
• Category: Article
• ISSN: 0022-314X
• DOI: 10.1006/jnth.1995.1090

✦ Synopsis

In this paper, we establish improved upper bounds on the size of integral solutions to hyper- and super-elliptic equations under the conditions of LeVeque (Acta. Arith. IX (1964), 209-219). The proof follows the classical argument of Siegel (J. London Math. Soc. 1 (1926), 66-68), using upper bounds on the size of solutions of unit equations derived from lower bounds for linear forms in logarithms. c 1995 Academic Press, Inc