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Results for “foundations” 2 papers
Numbers & arithmetic. Primes, factorisation and arithmetic structure Tagged papers: 62.
Completeness Senses and the Levi-Civita Field: Ordered Non-Archimedean Number Systems Beyond Ostrowski's Classification
Ostrowski's theorem classifies every nontrivial rank-1 absolute value on the rationals: the Archimedean absolute value and, for each prime p, a p-adic absolute value. Their completions are the real numbers and the p-adic fields. This classification is often read as closing the question of what a…
EMERGENT NUMBER THEORY
The relationship between discrete number theory and continuous mathematical structures has been a subject of deep investigation in modern mathematics, with several well-established connections. The scholarly landscape reveals a sophisticated understanding of how discrete structures emerge from…
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