22 citations · 59 across the 12 of their papers we have counts for
13 papers
Ranks of elliptic curves in cyclic sextic extensions of
Hershy Kisilevsky, Masato Kuwata
For an elliptic curve we show that there are infinitely many cyclic sextic extensions such that the Mordell-Weil group has rank greater than th…
Small Algebraic Central Values of Twists of Elliptic -Functions
Hershy Kisilevsky, Jungbae Nam
We consider heuristic predictions for small non-zero algebraic central values of twists of the -function of an elliptic curve by Dirichlet characters. We provide…
Unit Signatures in Real Biquadratic and Multiquadratic Number Fields
David S. Dummit, Hershy Kisilevsky
We consider the signature rank of the units in real multiquadratic fields. When the three quadratic subfields of a real biquadratic field either (a) all have signature rank 2 (…
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 tends to infinity with . We also show the signat…
Decomposition Configuration Types in Minimally Tamely Ramified Extensions of
David S. Dummit, Hershy Kisilevsky
We examine whether it is possible to realize finite groups as Galois groups of minimally tamely ramified extensions of and also specify both the inertia groups and…
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…