Brooke Feigon

activity

20082026

most citedStatistics for traces of cyclic trigonal curves over finite fields

36 citations · 114 across the 11 of their papers we have counts for

collaborators

13 papers

math.NT2026

Reciprocals of Subsum Polynomials

Cristina Ballantine, George Beck, Brooke Feigon +1

We introduce the subsum polynomial of a partition $λ = (λ_{1}, λ_{2}, \dots, λ_{k})$ defined by $sp (λ, x) = \prod_{i = 1}^{k} (1 + x^{λ_{i}})$ . We study the sum of reciprocals of $\mathrm{s…

math.CO2024

Truncated Theta Series Related to the Jacobi Triple Product Identity

Cristina Ballantine, Brooke Feigon

The work of Andrews and Merca on the truncated Euler's pentagonal number theorem led to a resurgence in research on truncated theta series identities. In particular, Yee proved a t…

math.NT2023

Ramanujan Bigraphs

Shai Evra, Brooke Feigon, Kathrin Maurischat +1

In their seminal paper, Lubotzky, Phillips and Sarnak (LPS) defined the notion of regular Ramanujan graphs and gave an explicit construction of infinite families of $(p + 1)$ -regular…

math.NT2018

Ramanujan graphs in cryptography

Anamaria Costache, Brooke Feigon, Kristin Lauter +2

In this paper we study the security of a proposal for Post-Quantum Cryptography from both a number theoretic and cryptographic perspective. Charles-Goren-Lauter in 2006 [CGL06] pro…

math.NT2015

The distribution of $F_{q}$ -points on cyclic $ℓ$ -covers of genus $g$

Alina Bucur, Chantal David, Brooke Feigon +4

We study fluctuations in the number of points of $ℓ$ -cyclic covers of the projective line over the finite field $F_{q}$ when $q \equiv 1 mod ℓ$ is fixed and the genus…

math.NT2015

Explicit construction of Ramanujan bigraphs

Cristina Ballantine, Brooke Feigon, Radhika Ganapathy +3

We construct explicitly an infinite family of Ramanujan graphs which are bipartite and biregular. Our construction starts with the Bruhat-Tits building of an inner form of $SU_3(\m…