Counting solutions to quadratic polynomials

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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Publication Details

Journal
International Journal of Number Theory
Published
2025-10-08
DOI
https://doi.org/10.1142/s1793042126500272
Primary Topic
Functional Equations Stability Results
Type
article
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article

Counting solutions to quadratic polynomials

V. Vinay Kumaraswamy
International Journal of Number Theory
Functional Equations Stability Results
article

Counting solutions to quadratic polynomials

V. Vinay Kumaraswamy
article en

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.

International Journal of Number TheoryVol. 22(03)
KTH Royal Institute of Technology (SE)
Openalex Percentile: Top 61%
Functional Equations Stability Results
DOISourceOpenAlex
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Counting solutions to quadratic polynomials — V. Vinay Kumaraswamy · International Journal of Number Theory (2025) | TGRS Research Map | TGRS