10 citations · 30 across the 7 of their papers we have counts for
4 papers · 1 filter
Quartic Integral Polynomial Pell Equations
Zachary Scherr, Katherine Thompson
In this paper we classify all monic, quartic, polynomials for which the Pell equation has a non-trivial solution with $f(x),g(x)\in\m…
Congruences satisfied by eta-quotients
Nathan C. Ryan, Zachary Scherr, Nicolás Sirolli +1
The values of the partition function, and more generally the Fourier coefficients of many modular forms, are known to satisfy certain congruences. Results given by Ahlgren and Ono…
Uniform Boundedness of S-Units in Arithmetic Dynamics
Holly Krieger, Aaron Levin, Zachary Scherr +3
Let K be a number field and let S be a finite set of places of K which contains all the Archimedean places. For any f(z) in K(z) of degree d at least 2 which is not a d-th power in…
Abelian surfaces over finite fields with prescribed groups
Chantal David, Derek Garton, Zachary Scherr +3
Let A be an abelian surface over F_q, the field of q elements. The rational points on A/\F_q form an abelian group A(\F_q) \simeq \Z/n_1\Z \times \Z/n_1 n_2 \Z \times \Z/n_1 n_2 n_…