Lynnelle Ye

activity

20112023

most citedThe Proportion of Weierstrass Semigroups

19 citations · 38 across the 10 of their papers we have counts for

collaborators

Showing 2014Show all

6 papers · 1 filter

math.NT2014

An explicit approach to the Ahlgren-Ono conjecture

Geoffrey D. Smith, Lynnelle Ye

Let $p (n)$ be the partition function. Ahlgren and Ono conjectured that every arithmetic progression contains infinitely many integers $N$ for which $p (N)$ is not congruent to $0\pm…

math.NT2014

Congruences of concave composition functions

Keenan Monks, Lynnelle Ye

Concave compositions are ordered partitions whose parts are decreasing towards a central part. We study the distribution modulo $a$ of the number of concave compositions. Let $c(n)…

math.NT2014

Congruence properties of Borcherds product exponents

Keenan Monks, Sarah Peluse, Lynnelle Ye

In his striking 1995 paper, Borcherds found an infinite product expansion for certain modular forms with CM divisors. In particular, this applies to the Hilbert class polynomial of…

math.NT2014★ 3 cited

Strings of special primes in arithmetic progressions

Keenan Monks, Sarah Peluse, Lynnelle Ye

The Green-Tao Theorem, one of the most celebrated theorems in modern number theory, states that there exist arbitrarily long arithmetic progressions of prime numbers. In a related…

math.NT2014★ 3 cited

Benford's Law for Coefficients of Newforms

Marie Jameson, Jesse Thorner, Lynnelle Ye

Let $f (z) = \sum_{n = 1}^{\infty} λ_{f} (n) e^{2 π in z} \in S_{k}^{n e w} (Γ_{0} (N))$ be a normalized Hecke eigenform of even weight $k \geq 2$ on $Γ_{0} (N)$ without complex multiplication. Let $\math…

math.NT2014★ 2 cited

Bounding sums of the Möbius function over arithmetic progressions

Lynnelle Ye

Let $M (x) = \sum_{1 \leq n \leq x} μ (n)$ where $μ$ is the Möbius function. It is well-known that the Riemann Hypothesis is equivalent to the assertion that $M (x) = O (x^{1/2 + ε})$ for all $ε>…