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On the solution of the Volterra integral equation of second type for the error term in an asymptotic formula for arithmetical functions

On the solution of the Volterra integral equation of second type for the error term in an asymptotic formula for arithmetical functions

In 2010, J.Kaczorowski and K.Wiertelak considered the Volterra integral equation of second type for the remainder term in the asymptotic formula for the Euler totient function. The author found that the consideration made by them holds for other remainder terms in the asymptotic formula having certain common properties. In this …