Geodesic
Estimates for character sums with various convolutions
Brandon Hanson1
1 Mathematics Department Pennsylvania State University University Park, PA 16802, U.S.A.
Acta Arithmetica, Tome 179 (2017) no. 2, pp. 133-146 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We provide estimates for sums of the form \[ \Bigl|\sum_{a\in A}\sum_{b\in B}\sum_{c\in C}\chi(a+b+c)\Bigr| \quad \text{and}\quad \Bigl|\sum_{a\in A}\sum_{b\in B}\sum_{c\in C}\sum_{d\in D}\chi(a+b+cd)\Bigr| \] when $A,B,C,D\subset \mathbb F_p$, the field with $p$ elements, and $\chi$ is a non-trivial multiplicative character modulo $p$.
DOI : 10.4064/aa8404-5-2017
Keywords: provide estimates sums form bigl sum sum sum chi bigr quad text quad bigl sum sum sum sum chi bigr d subset mathbb field elements chi non trivial multiplicative character modulo

Brandon Hanson 1

1 Mathematics Department Pennsylvania State University University Park, PA 16802, U.S.A. 
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Brandon Hanson. Estimates for character sums with various convolutions. Acta Arithmetica, Tome 179 (2017) no. 2, pp. 133-146. doi: 10.4064/aa8404-5-2017

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