Siddharth Iyer

collaborators

5 papers

math.NT2026

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.NT2026

On the Digits of Partition Functions

Siddharth Iyer

We study a problem of Douglass and Ono concerning the smallest integer $n$ such that the partition function $p (n)$ begins with a specified string of digits $f$ in base $b$ . By empl…

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 $I^¸ -$ powers and their sums

Siddharth Iyer

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

Cubic Polynomials and Sums of Two Squares

On the Digits of Partition Functions

Gaps between quadratic forms

Lifting for Arbitrary Gadgets

Distribution of I^¸−powers and their sums

Distribution of $I^¸ -$ powers and their sums