V. Kumaraswamy

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20172024

most citedOn correlations between class numbers of imaginary quadratic fields

3 citations · 7 across the 5 of their papers we have counts for

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math.NT2024

On a conjecture of Wooley and lower bounds for cubic hypersurfaces

V. Vinay Kumaraswamy, Nick Rome

Let $X \subset P_{Q}^{n - 1}$ be a cubic hypersurface cut out by the vanishing of a non-degenerate rational cubic form in $n$ variables. Let $N (X, B)$ denote the num…

math.NT2024

Counting solutions to quadratic polynomials

V. Vinay Kumaraswamy

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.