Michael Allen

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20192022

most citedConnections between two classes of generalized Fibonacci numbers squared and permanents of (0,1) Toeplitz matrices

4 citations · 9 across the 9 of their papers we have counts for

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math.NT2019

Existence of $η$ -Quotients For Squarefree Levels

Michael Allen

In this paper, we investigate which modular form spaces can contain $η$ -quotients, functions of the form $f (τ) = \prod_{δ ∣ N} η (δ τ)^{r_{δ}}$ . For $k \geq 2$ even and $N$ coprime to…

math.NT2019

Eta-quotients of Prime or Semiprime Level and Elliptic Curves

Michael Allen, Nicholas Anderson, Asimina Hamakiotes +2

From the Modularity Theorem proven by Wiles, Taylor, et al, we know that all elliptic curves are modular. It has been shown by Martin and Ono exactly which are represented by eta-q…

Existence of η-Quotients For Squarefree Levels

Eta-quotients of Prime or Semiprime Level and Elliptic Curves

Existence of $η$ -Quotients For Squarefree Levels