A simple, elementary method is given for deriving estimates of sums of arithmetic functions, the estimates being in a certain sense uniform over a class of functions appearing in the summation. The ...

Bilinear forms and character sums have emerged as pivotal tools in analytic number theory, offering robust frameworks for investigating sums wherein variables interact multiplicatively. Bilinear forms ...

The simple definition of a mean is that of a numeric quantity which represents the center of a collection of numbers. Here the trick lies in defining the exact type of numeric collection, as beyond ...