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math.NT2020
Curious Squares
Neelima Borade, Jacob Mayle
A curious number is a palindromic number whose base ten representation has the form . In this paper, we determine all curious numbers that are per…
math.NT2020
Rigidity in Elliptic Curve Local-Global Principles
Jacob Mayle
We study the rigidity of the local conditions in two well-known local-global principles for elliptic curves over number fields. In particular, we consider a local-global principle…
math.NT2020
A bound for the image conductor of a principally polarized abelian variety with open Galois image
Jacob Mayle
Let be a principally polarized abelian variety of dimension over a number field . Assume that the image of the adelic Galois representation of is an open subgroup of…