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Mat. Zametki, 2010 Volume 88, Issue 3, Pages 340–349 (Mi mzm6599)
Exact Values of the Sums of Multiplicative Characters of Polynomials over Finite Fields

L. A. Bassalygo, V. A. Zinov'ev

A. A. Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences

Abstract: We give explicit constructions of polynomials of special form over finite fields the sum of whose multiplicative characters is exactly known.

Keywords: polynomial, multiplicative character, finite field, Legendre symbol, coset.

UDC: 512.62

Received: 27.10.2008

DOI: 10.4213/mzm6599


 English version: Mathematical Notes, 2010, 88:3, 308–316

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© Steklov Math. Inst. of RAS, 2025