Guillermo Mantilla-Soler

activity

20112021

most citedThe trace form over cyclic number fields

7 citations · 22 across the 16 of their papers we have counts for

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Showing 2013Show all

4 papers · 1 filter

math.NT2013★ 4 cited

The shape of $Z / ℓ Z$ -number fields

Guillermo Mantilla-Soler, Marina Monsurrò

Let $ℓ$ be a prime and let $L / Q$ be a Galois number field with Galois group isomorphic to $Z / ℓ Z$ . We show that the {\it shape} of $L$ is either $\f…

math.NT2013★ 1 cited

Weak arithmetic equivalence

Guillermo Mantilla-Soler

Inspired by the invariant of a number field given by its zeta function, we define the notion of {\it weak arithmetic equivalence}, and show that under certain ramification hypothes…

math.NT2013

On the Arithmetic determination of the trace

Guillermo Mantilla-Soler

Let $K$ be a number field, which is tame and non totally real. In this article we give a numerical criterion, depending only on the ramification behavior of ramified primes in $K$ ,…

math.NT2013

The spinor genus of the integral trace

Guillermo Mantilla-Soler

Let $K$ be a number field of degree at least $3$ . In this article we show that the genus of the integral trace form of $K$ contains only one spinor genus. Additionally we show that…

The shape of Z/ℓZ-number fields

Weak arithmetic equivalence

On the Arithmetic determination of the trace

The spinor genus of the integral trace

The shape of $Z / ℓ Z$ -number fields