Results 1 to 10 of about 2,557,900 (273)
Comparing the number of ideals in quadratic number fields
Mathematical Modelling and Control, 2022 Denote by $ a_{K}(n) $ the number of integral ideals in $ K $ with norm $ n $, where $ K $ is a algebraic number field of degree $ m $ over the rational field $ \mathcal{Q} $. Let $ p $ be a prime number.
Qian Wang, Xue Han
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ALTERNATIVE PROOF OF THE INFINITUDE PRIMES AND PRIME PROPERTIES
Barekeng, 2023 Prime numbers is one of kind number that have many uses, one of which is cryptography. The uniqueness of prime numbers in their divisors and distributions causes prime numbers to be widely used in digital security systems. In number theory, one of famous
Dinni Rahma Oktaviani +2 more
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Finite duals of affine prime regular Hopf algebras of GK-dimension one
AIMS Mathematics, 2023 This paper is an attempt to construct a special kind of Hopf pairing $ \langle-, -\rangle:H^\bullet\otimes H\rightarrow {π} $. Specifically, $ H^\bullet $ and $ H $ should be both affine, noetherian and of the same GK-dimension.
Kangqiao Li , Gongxiang Liu
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On certain generalized prime ideals in boolean like semiring of fractions [PDF]
Journal of Hyperstructures, 2014 In this paper, we introduce the notions of semiprime ideals, 2-potent prime ideals, weakly prime ideals and weakly primary ideals in a Boolean like semiring of fractions. Further, we obtain various results concerning the notions.
K. H. Demissie +2 more
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On a Diophantine equation with prime variables
AIMS Mathematics, 2021 Let $ [\alpha] $ denote the integer part of the real number $ \alpha $, $ N $ be a sufficiently large integer and $ (\kappa, \lambda) $ be the exponent pair.
Jing Huang, Ao Han, Huafeng Liu
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FLAT PRIMES AND THIN PRIMES [PDF]
Bulletin of the Australian Mathematical Society, 2009 AbstractA number is called upper (lower) flat if its shift by +1 ( β1) is a power of 2 times a squarefree number. If the squarefree number is 1 or a single odd prime then the original number is called upper (lower) thin. Upper flat numbers which are primes arise in the study of multi-perfect numbers.
Broughan, Kevin A., Zhou, Qizhi
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A remark for Gauss sums of order 3 and some applications for cubic congruence equations
AIMS Mathematics, 2022 In this paper, we give some relations between Gauss sums of order 3. As application, we give the number of solutions of some cubic diagonal equations. These generalize the earlier results obtained by Hong-Zhu and solve the sign problem raised by Zhang ...
Wenxu Ge, Weiping Li, Tianze Wang
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Prime Slaughter: Playful Prime Numbers [PDF]
, 2012 Starting from the difficulty of creating playful representation of domain-specific abstract concepts, this study discusses the design of Prime Slaughter, a computer game aimed at facilitating individual sense-making of abstract mathematical concepts. Specifically the game proposes a transposition of primality and factorization into playful interactions,
Valente, Andrea, Marchetti, Emanuela
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Frontiers in Veterinary Science, 2021 Understanding dairy producer mindset in service sire selection can provide useful information for different junctures along the commercial and extension animal breeding chain.
Donagh P. Berry, Siobhan R. Ring
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Hospital Pediatrics, 2017 βIn God we trust, all others bring data.β This pithy quote from Edwards Deming, 1 of the fathers of quality improvement (QI), speaks to the centrality of data and measurement in QI. Early on hospitalists realized that QI in the hospital setting was key to their value proposition and return on investment strategy.
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