Différence entre puissances et carrés d'entiers

✍ Scribed by Jean-Luc Lesage

• Book ID: 102603469
• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 444 KB
• Volume: 73
• Category: Article
• ISSN: 0022-314X
• DOI: 10.1006/jnth.1998.2303

✦ Synopsis

We solve the equation x 2 +7= y n for fixed values of n 5000 using the classical machinery for Thue equation and modular tools. Next we solve it for fixed values of y 10 9 using linear forms of logarithms and reduction techniques.