E. Friedman

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20112019

most citedSigned fundamental domains for totally real number fields

13 citations · 14 across the 4 of their papers we have counts for

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6 papers · 1 filter

math.NT2019

Twisters and signed fundamental domains for number fields

Milton Espinoza, Eduardo Friedman

We give a signed fundamental domain for the action on $R_{+}^{r_{1}} \times C^{*}^{r_{2}}$ of the totally positive units $E_{+}$ of a number field $k$ of degree $n=r_1+2r_2…

math.NT2019★ 1 cited

A case of the Rodriguez Villegas conjecture

Ted Chinburg, Eduardo Friedman, Fernando Rodriguez-Villegas +1

Let L be a number field and let E be any subgroup of the units O_L^* of L. If rank(E) = 1, Lehmer's conjecture predicts that the height of any non-torsion element of E is bounded b…

math.NT2018

The smallest regulator for number fields of degree 7 with five real places

Eduardo Friedman, Gabriel Ramírez-Raposo

In 2016 Astudillo, Diaz y Diaz and Friedman published sharp lower bounds for regulators of number fields of all signatures up to degree seven, except for fields of degree seven hav…

math.NT2013

Computing the residue of the Dedekind zeta function

Karim Belabas, Eduardo Friedman

Assuming the Generalized Riemann Hypothesis, Bach has shown that one can calculate the residue of the Dedekind zeta function of a number field K by a clever use of the splitting of…

math.NT2013★ 13 cited

Signed fundamental domains for totally real number fields

Francisco Diaz y Diaz, Eduardo Friedman

We give a signed fundamental domain for the action on $R_{+}^{n}$ of the totally positive units $E_{+}$ of a totally real number field $k$ of degree $n$ . The domain $\big\{(C_σ,…

math.NT2011

Special values of Dirichlet series and zeta integrals

Eduardo Friedman, Aldo Pereira

For $f$ and $g$ polynomials in $p$ variables, we relate the special value at a non-positive integer $s = - N$ , obtained by analytic continuation of the Dirichlet series $$ ζ(s;f,g)=\s…