Anne Larsen

activity

20192021

collaborators

4 papers

math.NT2021

Some Remarks on Small Values of $τ (n)$

Kaya Lakein, Anne Larsen

A natural variant of Lehmer's conjecture that the Ramanujan $τ$ -function never vanishes asks whether, for any given integer $α$ , there exist any $n \in Z^{+}$ such that $τ(n…

math.NT2021

A Proof of Merca's Conjectures on Sums of Odd Divisor Functions

Kaya Lakein, Anne Larsen

In a recent paper, Merca posed three conjectures on congruences for specific convolutions of a sum of odd divisor functions with a generating function for generalized $m$ -gonal num…

math.DS2020

Strongly Obtuse Rational Lattice Triangles

Anne Larsen, Chaya Norton, Bradley Zykoski

We classify rational triangles which unfold to Veech surfaces when the largest angle is at least $\frac{3 π}{4}$ . When the largest angle is greater than $\frac{2 π}{3}$ , we show that…

math.NT2019

Multiplicative Series, Modular Forms, and Mandelbrot Polynomials

Michael Larsen

We say a power series $\sum_{n = 0}^{\infty} a_{n} q^{n}$ is multiplicative if the function $n \mapsto a_{n} / a_{1}$ ( $n \geq 1$ ) is so. In this paper, we consider multiplicative power series $f$ …

Some Remarks on Small Values of τ(n)

A Proof of Merca's Conjectures on Sums of Odd Divisor Functions

Strongly Obtuse Rational Lattice Triangles

Multiplicative Series, Modular Forms, and Mandelbrot Polynomials

Some Remarks on Small Values of $τ (n)$