Siddharth Iyer

activity

20242026

collaborators

Showing 2025Show all

4 papers · 1 filter

math.NT2025

Cubic Polynomials and Sums of Two Squares

Siddharth Iyer

We establish a lower bound for the frequency with which an irreducible monic cubic polynomial with negative discriminant can be expressed as a sum of two squares ( $□_{2}$ ). T…

math.NT2025

Gaps between quadratic forms

Siddharth Iyer

Let $△$ denote the integers represented by the quadratic form $x^{2} + x y + y^{2}$ and $□_{2}$ denote the numbers represented as a sum of two squares. For a non-zero integer…

cs.CC2025

Lifting for Arbitrary Gadgets

Siddharth Iyer

We prove a sensitivity-to-communication lifting theorem for arbitrary gadgets. Given functions $f : {0, 1}^{n} \to {0, 1}$ and $g : X \times Y \to {0, 1}$ , denote $f…

math.NT2025

Distribution of $θ -$ powers and their sums

Siddharth Iyer

We refine a remark of Steinerberger (2024), proving that for $α \in R$ , there exists integers $1 \leq b_{1}, \dots, b_{k} \leq n$ such that \[ \left\| \sum_{j=1}^k \sqrt{b…

Cubic Polynomials and Sums of Two Squares

Gaps between quadratic forms

Lifting for Arbitrary Gadgets

Distribution of θ−powers and their sums

Distribution of $θ -$ powers and their sums