Evan P. Dummit

activity

20152018

collaborators

5 papers

math.NT2018

Characterizations of the $d$ th-power residue matrices over finite fields

Evan P. Dummit

In a recent paper of the author with D. Dummit and H. Kisilevsky, we constructed a collection of matrices defined by quadratic residue symbols, termed "quadratic residue matrices",…

math.NT2018

Signature Ranks of Units in Cyclotomic Extensions of Abelian Number Fields

David S. Dummit, Evan P. Dummit, Hershy Kisilevsky

We prove the rank of the group of signatures of the circular units (hence also the full group of units) of $Q (ζ_{m})^{+}$ tends to infinity with $m$ . We also show the signat…

math.NT2017

Counting $G$ -Extensions by Discriminant

Evan P. Dummit

The problem of analyzing the number of number field extensions $L / K$ with bounded (relative) discriminant has been the subject of renewed interest in recent years, with significant…

math.NT2015

Characterizations of quadratic, cubic, and quartic residue matrices

David S. Dummit, Evan P. Dummit, Hershy Kisilevsky

We construct a collection of matrices defined by quadratic residue symbols, termed "quadratic residue matrices", associated to the splitting behavior of prime ideals in a composite…

math.NT2015

Explicit computations of Hida families via overconvergent modular symbols

Evan P. Dummit, Márton Hablicsek, Robert Harron +3

In [Pollack-Stevens 2011], efficient algorithms are given to compute with overconvergent modular symbols. These algorithms then allow for the fast computation of $p$ -adic $L$ -funct…

Characterizations of the dth-power residue matrices over finite fields

Signature Ranks of Units in Cyclotomic Extensions of Abelian Number Fields

Counting G-Extensions by Discriminant

Characterizations of quadratic, cubic, and quartic residue matrices

Explicit computations of Hida families via overconvergent modular symbols

Characterizations of the $d$ th-power residue matrices over finite fields

Counting $G$ -Extensions by Discriminant