PulseExploreJournal ClubDebatesTrendingResearchersJournals
Instagram
HomeExploreJournal ClubTrending
Synapse
⌘+K
Synapse
March 2, 2026Demonstratio Mathematica0 citationsOpen Access

On the 2 k -th power mean of the quadratic character sums of the polynomials

WZWenpeng ZhangLWL Wang

Key Points

  • The central aim is to explore the 2k-th power mean of quadratic character sums of polynomials using known results from elliptic curves.
  • Utilized known results on elliptic curves over fixed prime fields.
  • Applied elementary methods in analysis of quadratic character sums.
  • Developed exact calculation formulas and a general asymptotic formula.
  • Provided exact formulas for the 2k-th power mean of quadratic character sums.
  • Derived a general asymptotic formula applicable to these sums.

Abstract

Abstract The main aim of this paper is using the already know results on the elliptic curve over a fixed prime field and the elementary methods to study the calculating problem of one kind 2 k -th power mean of the quadratic character sums of the polynomials, and give some exact calculating formulas and a general asymptotic formula for them.

Ask AI
Helpful
Bookmark
Share
View Full Paper

Cite This Study

Zhang et al. (2026) studied this question.

synapsesocial.com/papers/69a52d9af1e85e5c73bf0a6bhttps://doi.org/10.1515/dema-2025-0219
Ask AI
Helpful
Bookmark
Share
View Full Paper