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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2025 Volume 547, Pages 200–206 (Mi znsl7650)

On multiplicative characters sums of cubic polynomials

N. V. Proskurin

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences

Abstract: Exponential sums involving multiplicative characters of prime finite fields and cubic polynomials are considered and studied by means of numerical experiments. Some observations on distribution of the sums in the complex plane are given. A concept of admissible family of characters is introduced in this context.

Key words and phrases: finite fields, multiplicative exponential sums, distribution of exponential sums over finite fields.

UDC: 511, 512.624

Received: 20.11.2025



© Steklov Math. Inst. of RAS, 2026