109 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- University of MichiganUS36 papers
- University of Tennessee at KnoxvilleUS33 papers
- Georgia State UniversityUS31 papers
- University of Colorado BoulderUS30 papers
- University of Massachusetts AmherstUS29 papers
- Brookhaven National LaboratoryUS28 papers
- Centre National de la Recherche ScientifiqueFR28 papers
- Charles UniversityCZ28 papers
- New Mexico State UniversityUS28 papers
- Vanderbilt UniversityUS28 papers
- Augustana UniversityUS27 papers
- Columbia UniversityUS27 papers
11 papers · 1 filter
Steinberg homology, modular forms, and real quadratic fields
Avner Ash, Dan Yasaki
We compare the homology of a congruence subgroup Gamma of GL_2(Z) with coefficients in the Steinberg modules over Q and over E, where E is a real quadratic field. If R is any commu…
On the cohomology of congruence subgroups of GL3 over the Eisenstein integers
Paul E. Gunnells, Mark McConnell, Dan Yasaki
Let F be the imaginary quadratic field of discriminant -3 and OF its ring of integers. Let Gamma be the arithmetic group GL_3 (OF), and for any ideal n subset OF let Gamma_0 (n) be…
A database of genus 2 curves over the rational numbers
Andrew R. Booker, Jeroen Sijsling, Andrew V. Sutherland +2
We describe the construction of a database of genus 2 curves of small discriminant that includes geometric and arithmetic invariants of each curve, its Jacobian, and the associated…
A table of elliptic curves over the cubic field of discriminant -23
Steve Donnelly, Paul E. Gunnells, Ariah Klages-Mundt +1
Let F be the cubic field of discriminant -23 and O its ring of integers. Let Gamma be the arithmetic group GL_2 (O), and for any ideal n subset O let Gamma_0 (n) be the congruence…
Horizontal Monotonicity of the Modulus of the Riemann Zeta Function and Related Functions
Yuri Matiyasevich, Filip Saidak, Peter Zvengrowski
It is shown that the absolute values of Riemann's zeta function and two related functions strictly decrease when the imaginary part of the argument is fixed to any number with abso…
Modular forms and elliptic curves over the cubic field of discriminant -23
Paul E. Gunnells, Dan Yasaki
Let F be the cubic field of discriminant -23 and let O be its ring of integers. By explicitly computing cohomology of congruence subgroups of GL(2,O), we computationally investigat…
Single-factor lifting and factorization of polynomials over local fields
J. Guàrdia, E. Nart, S. Pauli
Let be a separable polynomial over a local field. Montes algorithm computes certain approximations to the different irreducible factors of , with strong arithmetic pro…
Modular forms and elliptic curves over the field of fifth roots of unity
Paul E. Gunnells, Farshid Hajir, Dan Yasaki
Let F be the cyclotomic field of fifth roots of unity. We computationally investigate modularity of elliptic curves over F.
Hyperbolic tessellations associated to Bianchi groups
Dan Yasaki
Let F/Q be number field. The space of positive definite binary Hermitian forms over F form an open cone in a real vector space. There is a natural decomposition of this cone into s…
Binary Hermitian forms over a cyclotomic field
Dan Yasaki
Let z be a primitive fifth root of unity and let F be the cyclotomic field F=Q(z). Let O be the ring of integers. We compute the Voronoi polyhedron of binary Hermitian forms over F…
Integral cohomology of certain Picard modular surfaces
Dan Yasaki
Let Gamma be a congruence subgroup of the Picard modular group of an imaginary number field k, and let D be the associated symmetric space. We describe a method to compute the inte…