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