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Physical Sciences and Mathematics Commons

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Full-Text Articles in Physical Sciences and Mathematics

Linking Human Activities To Water Quality In Coastal New England: Past And Present, Amelia Hurst May 2021

Linking Human Activities To Water Quality In Coastal New England: Past And Present, Amelia Hurst

University Scholar Projects

This project examines the timing and effect of direct and indirect anthropogenic and natural influences on the marine environment in embayments in southern New England over the past decades to century timescale. We investigated the effects of human land use from colonial through post-industrial times, determined baseline conditions and natural climatic variability, and analyzed the response of marine ecosystems to specific local management actions aimed to improve water quality. A coastal sediment core was taken in Mumford Cove, CT and was analyzed downcore for eutrophication markers (C: N, %C, %N, d15N, d13C) and metals (Hg, Pb, …


The Generalized Riemann Hypothesis And Applications To Primality Testing, Peter Hall May 2021

The Generalized Riemann Hypothesis And Applications To Primality Testing, Peter Hall

University Scholar Projects

The Riemann Hypothesis, posed in 1859 by Bernhard Riemann, is about zeros
of the Riemann zeta-function in the complex plane. The zeta-function can be repre-
sented as a sum over positive integers n of terms 1/ns when s is a complex number
with real part greater than 1. It may also be represented in this region as a prod-
uct over the primes called an Euler product. These definitions of the zeta-function
allow us to find other representations that are valid in more of the complex plane,
including a product representation over its zeros. The Riemann Hypothesis says that
all …


The Sdss-Rm Project: Uv/Optical Accretion Disk Measurements For Supermassive Black Holes With Hubble Space Telescope, Megan Sturm May 2021

The Sdss-Rm Project: Uv/Optical Accretion Disk Measurements For Supermassive Black Holes With Hubble Space Telescope, Megan Sturm

University Scholar Projects

We report accretion-disk structure measurements for eight rapidly accreting supermassive black holes selected from the Sloan Digital Sky Survey Reverberation Mapping project sample. Reverberation mapping uses light echoes to measure disk size from the time lag between variability in the inner/hotter and outer/cooler disk emission. We use Hubble Space Telescope ultraviolet observations coordinated with optical monitoring from the Liverpool Telescope and Las Cumbres Observatory. We find ten significant UV/optical lags for five out of the eight total targets. Through these time lags, we study the accretion disk as a function of disk size, temperature profile and radiative efficiency. We find …