On the Distribution of the Number of Goldbach Partitions of a Randomly Chosen Positive Even Integer [PDF]
Electronic Notes in Discrete Mathematics, 2016 Let $\mathcal{P}=\{p_1,p_2,...\}$ be the set of all odd primes arranged in increasing order. A Goldbach partition of the even integer $2k>4$ is a way of writing it as a sum of two primes from $\mathcal{P}$ without regard to order. Let $Q(2k)$ be the number of all Goldbach partitions of the number $2k$.
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Commodity risk assessment of Petunia spp. and Calibrachoa spp. unrooted cuttings from Guatemala
EFSA Journal, Volume 22, Issue 1, January 2024.Abstract The European Commission requested the EFSA Panel on Plant Health to evaluate the probability of entry of pests (likelihood of pest freedom at entry), including both, regulated and non‐regulated pests, associated with unrooted cuttings of the genera Petunia and Calibrachoa produced under physical isolation in Guatemala.
EFSA Panel on Plant Health (PLH) +35 more
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Relationships between internalized stigma and depression and suicide risk among queer youth in the United States: a systematic review and meta-analysis. [PDF]
Front Psychiatry, 2023 Williams DY +8 more
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Refined Goldbach conjectures with primes in progressions
, 2018 We formulate some refinements of Goldbach's conjectures based on heuristic arguments and numerical data. For instance, any even number greater than 4 is conjectured to be a sum of two primes with one prime being 3 mod 4. In general, for fixed $m$ and $a,
Martin, Kimball
core
On the existence of a non‐zero lower bound for the number ofGoldbach partitions of an even integer [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 The Goldbach partitions of an even number, given by the sums of two prime addends, form the nonempty set for all integers 2n with 2 ≤ n ≤ 2 × 1014. It will be shown how to determine by the method of induction the existence of a non‐zero lower bound for the number of Goldbach partitions of all even integers greater than or equal to 4.
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Editorial: Immunomodulatory Roles of Extracellular Vesicles in Autoimmune Diseases. [PDF]
Front Immunol, 2022 Gu Z, Kuo WP.
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Immunopathological signatures in multisystem inflammatory syndrome in children and pediatric COVID-19. [PDF]
Nat Med, 2022 Sacco K +64 more
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Combinatorial and Additive Number Theory Problem Sessions: '09--'19
, 2019 These notes are a summary of the problem session discussions at various CANT (Combinatorial and Additive Number Theory Conferences). Currently they include all years from 2009 through 2019 (inclusive); the goal is to supplement this file each year. These
Miller, Steven J.
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Predicting the size ranking of minimal primes in the generalised Goldbach partitions
A scarcely known generalization of Goldbach's conjecture introduced by Hardy and Littlewood states that for every pair of (relatively prime) positive integers m1 and m2, every sufficiently large integer n satisfying certain simple congruence criteria can be $(m_1,m_2)$-partitioned as $n = m_1p+m_2q$ for some primes $p$ and $q$.
Juhász, Zsófia, Bartalos, Máté
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Generalising the Hardy-Littlewood Method for Primes
, 2006 The Hardy-Littlewood method is a well-known technique in analytic number theory. Among its spectacular applications are Vinogradov's 1937 result that every sufficiently large odd number is a sum of three primes, and a related result of Chowla and Van der
Green, Ben
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