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Proofs of some conjectures of Sun on the relations between sums of squares and sums of triangular numbers

Proofs of some conjectures of Sun on the relations between sums of squares and sums of triangular numbers

In a recent paper, Sun posed six conjectures on the relations between [Formula: see text] and [Formula: see text], where [Formula: see text] denotes the number of representations of [Formula: see text] as [Formula: see text], where [Formula: see text] are positive integers, [Formula: see text] are arbitrary nonnegative integers, …