Some mixed character sums

Abstract

In this paper we consider a variety of mixed character sums. In particular we extend a bound of Heath-Brown and Pierce to the case of squarefree modulus, improve on a result of Chang for mixed sums in finite fields, we show in certain circumstances we may improve on some results of Pierce for multidimensional mixed sums and we extend a bound for character sums with products of linear forms to the setting of mixed sums.

References in corpus (1)

• Burgess bounds for multi-dimensional short mixed character sums

Cited by in corpus (4)

• Burgess bounds for short character sums evaluated at forms
• Effective Vinogradov's mean value theorem via efficient boxing
• Burgess bounds for short character sums evaluated at forms II: the mixed case
• Cancellations Amongst Kloosterman Sums