Large odd order character sums and improvements of the P\'olya-Vinogradov inequality
(2022)
Journal Article
Lamzouri, Y., & Mangerel, A. P. (2022). Large odd order character sums and improvements of the P\'olya-Vinogradov inequality. Transactions of the American Mathematical Society, 375, 3759-3793. https://doi.org/10.1090/tran/8607
For a primitive Dirichlet character modulo q, we dene M() = maxt j P nt (n)j. In this paper, we study this quantity for characters of a xed odd order g 3. Our main result provides a further improvement of the classical Polya-Vinogradov inequality in... Read More about Large odd order character sums and improvements of the P\'olya-Vinogradov inequality.