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 2020 · math.NTShow all

2 papers · 2 filters

math.NT2020★ 5 cited

An approximate form of Artin's holomorphy conjecture and non-vanishing of Artin $L$ -functions

Robert J. Lemke Oliver, Jesse Thorner, Asif Zaman

Let $k$ be a number field and $G$ be a finite group. Let $F_{k}^{G} (Q)$ be the family of number fields $K$ with absolute discriminant $D_{K}$ at most $Q$ such that $K / k$ i…

math.NT2020

Asymptotic identities for additive convolutions of sums of divisors

Robert J. Lemke Oliver, Sunrose T. Shrestha, Frank Thorne

In a 1916 paper, Ramanujan studied the additive convolution $S_{a, b} (n)$ of sum-of-divisors functions $σ_{a} (n)$ and $σ_{b} (n)$ , and proved an asymptotic formula for it when $a$ and $…

An approximate form of Artin's holomorphy conjecture and non-vanishing of Artin L-functions

Asymptotic identities for additive convolutions of sums of divisors

An approximate form of Artin's holomorphy conjecture and non-vanishing of Artin $L$ -functions