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19992026
most citedA triple star system with a misaligned and warped circumstellar disk shaped by disk tearing

109 citations

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11 papers · 1 filter

math.NT2020★ 1 cited

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…

math.NT2018★ 1 cited

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…

math.NT2016★ 50 cited

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…

math.NT2014★ 1 cited

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…

math.NT2012★ 9 cited

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…

math.NT2012★ 1 cited

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…

math.NT2011

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…

math.NT2010

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.

math.NT2009

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…

math.NT2009

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…

math.NT2007

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…