Counting solutions to quadratic polynomials

2024/05/07 by V. Vinay Kumaraswamy, Kumaraswamy, V. Vinay
Mathematics · Computer Science · #Functional Equations Stability Results #Advanced Mathematical Identities #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2405.04328

Abstract

Using the circle method, we obtain asymptotic formulae for the number of integer solutions to certain quadratic polynomials that are uniform in the coefficients of the polynomial.

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