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Averages of the M\"obius function on shifted primes [PDF]
The Quarterly Journal of Mathematics, 2020 It is a folklore conjecture that the M\"obius function exhibits cancellation on shifted primes; that is, $\sum_{p\le X}\mu(p+h) \ = \ o(\pi(X))$ as $X\to\infty$ for any fixed shift $h>0$. We prove the conjecture on average for shifts $h\le H$, provided $\
J. Lichtman
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International Journal of Mathematics and Mathematical Sciences, 2015 Let p=4k+1 be a prime number and Fp the finite field with p elements. For x∈1,n, Nx will denote the set of quadratic nonresidues less than or equal to x. In this work we calculate the number of quadratic nonresidues in the shifted set N(p-1)/2+a.
Rocío Meza-Moreno, Mario Pineda-Ruelas
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ON VALUES TAKEN BY THE LARGEST PRIME FACTOR OF SHIFTED PRIMES
Journal of the Australian Mathematical Society, 2018 Denote by $\mathbb{P}$ the set of all prime numbers and by $P(n)$ the largest prime factor of positive integer $n\geq 1$ with the convention $P(1)=1$ .
Jie Wu
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Corporate Privacy Policy Changes during PRISM and the Rise of Surveillance Capitalism
Media and Communication, 2017 Disclosure of the NSA’s PRISM program demonstrated that Internet companies have become prime targets of government surveillance. But what role do companies themselves play in putting users’ privacy at risk?
Priya Kumar
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Virus-like vaccines against HIV/SIV synergize with a subdominant antigen T cell vaccine
Journal of Translational Medicine, 2019 Background In non-human primates (NHPs) and humans, partial protection from HIV/SIV infection or suppression of replication is achievable by Env-binding antibodies and Gag-specific CD8+ T-cells targeting protective epitopes.
Melanie Schwerdtfeger +3 more
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Journal of Agriculture, Food Systems, and Community Development, 2016 In the mid- to late 1990s, most provincial governments in Canada downloaded or devolved authority for land use planning to local levels of government. In Alberta, this shifted responsibility for the protection of farmland to municipalities.
Mary A. Beckie +2 more
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PLoS ONE, 2018 Tularemia, also known as rabbit fever, is a severe zoonotic disease in humans caused by the gram-negative bacterium Francisella tularensis (Ft). While there have been a number of attempts to develop a vaccine for Ft, few candidates have advanced beyond ...
Katherine J O'Malley +8 more
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The Least Prime Primitive Root and the Shifted Sieve [PDF]
, 1998 We derive, for all prime moduli p except those in a very thin set, an upper bound for the least prime primitive root (mod p) of order of magnitude a constant power of log p.
G. Martin
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Docudrama as ‘Histotainment’: Repackaging Family History in the Digital Age
Public History Review, 2020 Ways of accessing and understanding history have shifted in contemporary society with history being repackaged for public consumption in a vast array of digital technologies.
Debra J. Donnelly, Emma L. Shaw
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Nanomaterials, 2021 It is of prime importance to develop anode electrocatalysts for direct methanol fuel cells (DMFCs) with good performance, which is critical for their commercial applications.
Ruiying Wang +5 more
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