A. Shapira

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20072026

most citedA Proof of Green's Conjecture Regarding the Removal Properties of Sets of Linear Equations

23 citations · 54 across the 45 of their papers we have counts for

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math.NT2026

An Elementary Analysis of the Prime Partition Function

Asaf Cohen Antonir, Asaf Shapira

Let $pp (n)$ denote the number of ways to write $n$ as a sum of primes. In this paper, we show that $lo g pp (n) \sim 2 π \frac{n}{3 lo g n} .$ While sharper estimates are…

math.NT2022

An Elementary Proof of a Theorem of Hardy and Ramanujan

Asaf Cohen Antonir, Asaf Shapira

Let $Q (n)$ denote the number of integers $1 \leq q \leq n$ whose prime factorization $q = \prod_{i = 1}^{t} p_{i}^{a_{i}}$ satisfies $a_{1} \geq a_{2} \geq \dots \geq a_{t}$ . Hardy and Ramanujan…

math.NT2021

Exact Limit Theorems for Restricted Integer Partitions

Asaf Cohen Antonir, Asaf Shapira

For a set of positive integers $A$ , let $p_{A} (n)$ denote the number of ways to write $n$ as a sum of integers from $A$ , and let $p (n)$ denote the usual partition function. In the ea…