Abstract
In this paper we consider the asymptotic behaviour of the error term Q(x;h/q), which is defined by (1.2). In particular, we derive a certain lower bound estimate of this function when h, k and q are fixed integers, and study the non-trivial upper bound estimates of the mean value of Q(x;h/q).
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Furuya, J. On the Mean Square of the Error Terms Corresponding to Exponential Sums Involving the Ideal Counting Function. The Ramanujan Journal 8, 177–198 (2004). https://doi.org/10.1023/B:RAMA.0000040480.23461.32
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DOI: https://doi.org/10.1023/B:RAMA.0000040480.23461.32