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A Class of Character Sums
Author(s) -
Williams Kenneth S.
Publication year - 1971
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-3.1.67
Subject(s) - character (mathematics) , citation , class (philosophy) , computer science , first class , library science , mathematics , artificial intelligence , geometry , data mining
asterisk (*) meansthat the singularities (modp) of r, and r2 are excluded and in the sum 1 lo (o f 0 (modp)) is to be interpreted as the unique integer w (modp) such that ow = 1 (modp)). Perel'muter has given conditions under which this sum is O(pf), thus generalizing the earlier deep work of Weil [4] and Carlitz and Uchiyama [2]. It is the purpose of this note to show that Perel'muter's work can be applied to estimate the character sum