Abstract We establish an asymptotic formula for counting integer solutions with smooth weights to an equation of the form , where is a non‐zero integer, with an explicit main term and a strong bound on the error term in terms of the size of the variables as well as of . We also establish an asymptotic formula for counting integer solutions with smooth weights to the congruence , where is a large prime, with a strong bound on the error term.
Ganguly et al. (Wed,) studied this question.
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