ON THE DIOPHANTINE EQUATION 1 + x^sup a^ + z^sup b^ = y^sup n

• Published in: Journal of combinatorics and number theory Vol. 8; no. 2; p. 145
• Main Authors: Bérczes, A, Hajdu, L, Miyazaki, T, Pink, I
• Format: Journal Article
• Language: English
• Published: Hauppauge Nova Science Publishers, Inc 01.05.2016
• Subjects: Combinatorics; Mathematical problems; Polynomials

Several classical problems are related to mixed polynomial-exponential equations. Such equations have been also considered recently by many authors. In the present paper, extending a theorem of the second and last authors, we completely solve the title equation in positive integers a, b, y, n with n...