In particular,δ(Tp)>0.63for all primesp. For a video summary of this paper, please visithttps://youtu.be/3ujCuVwH8k8.doi:10.1016/j.jnt.2016.11.027Wu, Bing-LingChen, Yong-GaoESJournal of Number TheoryB.-L. Wu, Y.-G. Chen, On certain properties of harmonic numbers, J. Num- ber...
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2,3. In Western music, this practice is underwritten by the notion of harmony, defining how multiple musical tones may be combined together into polyphonic sonorities or chords. To a given listener, certain chords will sound particularly pleasant, or consonant, while others will sound relatively ...
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Upper bounds for the discrepancy of these pairs are established which are essentiallybest possible. The results show that the inversive congruential method with prime power modulus performs uniformly satisfactorilyunder the serial test. The methods of proof rely heavily on the evaluation of certain ...
Polyspace for Ada ©️ — Provide code verification that proves the absence of overflow, divide-by-zero, out-of-bounds array access, and certain other run-time errors in source code. SPARK ©️ — Static analysis and formal verification toolset for Ada.Assembly...
These neoplastic neoantigens are usually polypeptide fragments that possess a certain binding capacity with HLA; however, their immunogenicity is uncertain, and should be determined in vivo experiments. Peptide vaccines and mRNA vaccines based on neoantigens can induce anticancer humoral and cellular ...
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Impact ejecta are important references to establish regional and global stratigraphy of planetary bodies. Canonical views advocate radial distributions of distal ejecta with respect to the source crater, and their trajectories are significantly deflected
In Section 3, we will study some prerequisites of function fields and their specializations, including Beckmann's result on ramification in specializations; on simultaneously prime values of certain polynomials (Green-Tao-Ziegler's theorems), and on embedding problems. In Section 4, we will deal ...