What is the ruling on incorrect figures in part of the results of a scientific research submitted to a competition? Is the financial prize received by the student and the teacher unlawful (haram)? What is obligatory to do? Is it permissible to involve another student in scientific research in exchange for sharing the prize with him, given that the committee does not stipulate equal effort among participating students?

Lying and cheating in research are not permissible, and one must repent to Allah. The financial prize is lawful if it is granted for learning the steps of research, not for the accuracy of the results. The portion pertaining to the teacher is lawful if he agreed to what you wrote. Sharing the competition prize with another student is permissible if you both agree and there is no cheating or violation of the competition's terms.