
06694979
j
Rakamazi, Rich\'ard
Solving Diophantine equations with binomial coefficients.
Teach. Math. Comput. Sci. 14, No. 1, 112 (2016).
2016
,
EN
F60
Diophantine equations
binomial coefficients
arithmetic
quadratic form
Summary: In the paper we are studying Diophantine equations containing binomial coefficients. It was an important aspect that one should be able to discuss these problems  even if not in complete depth  also in high school study group sessions with the most talented students. We present various methods through several examples, which help the successful handling of other questions too, including problems in math competitions. Our discussion starts with the elementary treatment of easier problems, and then proceed gradually to more difficult questions which require higher mathematical methods.