THE NUMBER OF SOLUTIONS TO THE EQUATION (x + 1)d= xd+ 1
Ji-Mi Yim, Sung-Jin Cho, Han-Doo Kim, Un-Sook Choi, Jiyoun Choi · Journal of applied mathematics & informatics · 2013
In this paper, we study the number of solutions to the equation $(x+1)^d=x^d+1$ . This equation gives the value of the third power sum equation in case of Niho type exponents and is helpful in finding the distribution of the values $C_d({\tau})$ . We provide the number of the solutions using the new method.