Powers of Gauss sums in quadratic fields

نویسندگان

چکیده

In the past two decades, many researchers have studied index 2 Gauss sums, where group generated by characteristic p of underling finite field is in unit Z/mZ for order m multiplicative character involved. A complete solution to problem evaluating sums was given Yang and Xia (2010). particular, it known that some nonzero integral powers this case are quadratic fields. On other hand, Chowla (1962), McEliece (1974), Evans (1977, 1981) Aoki (1997, 2004, 2012) pure which rational numbers. paper, we study This class a generalization an extension

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ژورنال

عنوان ژورنال: Journal of Number Theory

سال: 2022

ISSN: ['0022-314X', '1096-1658']

DOI: https://doi.org/10.1016/j.jnt.2021.08.015