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Pure Gauss sums over finite fields
Author(s) -
Evans Ronald J.
Publication year - 1981
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300010299
Subject(s) - gauss sum , mathematics , gauss , finite field , quadratic gauss sum , order (exchange) , sums of powers , pure mathematics , discrete mathematics , quantum mechanics , physics , finance , economics
New classes of pairs e, p are presented for which the Gauss sums corresponding to characters of order e over finite fields of characteristic p are pure, i.e ., have a real power. Certain pure Gauss sums are explicitly evaluated.