On the solutions of xp + yp=2rzp, xp + yp=z2 over totally real fields

Kumar, N; Sahoo, S

Kumar, N (通讯作者),Indian Inst Technol Hyderabad, Dept Math, Kandi 502285, Sangareddy, India.

ACTA ARITHMETICA, 2023; ():

Abstract

We study the non-trivial primitive solutions of a specific type for the Diophantine equations xp + yp = 2rzp and xp + yp = z2 with prime exponent p an......

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