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In the Chinese tradition, linear Diophantine problems can be traced back to two main categories. The first group includes the problems consisting of 2-equation systems with integer coefficients in n unknowns with $$n> 2$$ n > 2 and integer solutions, such as: $$x_1 + x_2 + \dots + x_n = p$$ x 1 + x 2 + ⋯ + x n = p , $$b_1 x_1 + b_2 x_2+ \dots + b_n x_n = q$$ b 1 x...
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