Robert Lemke Oliver

activity

20112022

most citedUnexpected biases in the distribution of consecutive primes

62 citations · 134 across the 12 of their papers we have counts for

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Showing 2019 · math.NTShow all

2 papers · 2 filters

math.NT2019★ 6 cited

Improved lower bounds for the number of fields with alternating Galois group

Aaron Landesman, Robert J. Lemke Oliver, Frank Thorne

Let $n \geq 6$ be an integer. We prove that the number of number fields with Galois group $A_{n}$ and absolute discriminant at most $X$ is asymptotically at least $X^{1/8 + O (1/ n)}$ .…

math.NT2019★ 9 cited

Elements of given order in Tate-Shafarevich groups of abelian varieties in quadratic twist families

Manjul Bhargava, Zev Klagsbrun, Robert J. Lemke Oliver +1

Let $A$ be an abelian variety over a number field $F$ and let $p$ be a prime. Cohen-Lenstra-Delaunay-style heuristics predict that the Tate-Shafarevich group of $A_{s}$ should contai…