Results 31 to 40 of about 171,915 (143)
Small‐scale distribution of linear patterns of primes
Journal of the London Mathematical Society, Volume 110, Issue 4, October 2024.Abstract Let Ψ=(ψ1,⋯,ψt):`Zd→Rt$\Psi =(\psi _1,\hdots, \psi _t):`\mathbb {Z}^d\rightarrow \mathbb {R}^t$ be a system of linear forms with finite complexity. In their seminal paper, Green and Tao showed the following prime number theorem for values of the system Ψ$\Psi$: ∑x∈[−N,N]d∏i=1t1P(ψi(x))∼(2N)d(logN)t∏pβp,$$\begin{equation*} \sum _{x\in [-N,N]^d}
Mayank Pandey, Katharine Woo
wiley +1 more source
Comprehensive Reviews in Food Science and Food Safety, Volume 23, Issue 4, July 2024.Abstract Frying is a popular cooking method that produces delicious and crispy foods but can also lead to oil degradation and the formation of health‐detrimental compounds in the dishes. Chemical reactions such as oxidation, hydrolysis, and polymerization contribute to these changes.
Aysun Yurdunuseven Yildiz +3 more
wiley +1 more source
Sifting Function Partition for the Goldbach Problem
, 2008 All sieve methods for the Goldbach problem sift out all the composite numbers; even though, strictly speaking, it is not necessary to do so and which is, in general, very difficult. Some new methods introduced in this paper show that the Goldbach problem can be solved under sifting out only some composite numbers.
openaire +2 more sources
Lattice models, cylinder partition functions, and the affine coxeter element [PDF]
, 1998 The partition functions of the affine Pasquier models on the cylinder are calculated in the continuum limit. The partition functions of the models based upon the Â(_n) cycle graphs are first found from the appropriate Coulomb-gas equivalence.
Talbot, Robert Paul Thomas
core
Implications of Ramsey Choice principles in ZF$\mathsf {ZF}$
Mathematical Logic Quarterly, Volume 70, Issue 2, Page 255-261, May 2024.Abstract The Ramsey Choice principle for families of n$n$‐element sets, denoted RCn$\operatorname{RC}_{n}$, states that every infinite set X$X$ has an infinite subset Y⊆X$Y\subseteq X$ with a choice function on [Y]n:={z⊆Y:|z|=n}$[Y]^n:= \lbrace z\subseteq Y: |z| = n\rbrace$.
Lorenz Halbeisen +2 more
wiley +1 more source
New Phytologist, Volume 242, Issue 3, Page 881-902, May 2024.Summary In this review, we untangle the physiological key functions of the essential micronutrients and link them to the deficiency responses in plants. Knowledge of these responses at the mechanistic level, and the resulting deficiency symptoms, have improved over the last decade and it appears timely to review recent insights for each of them.
Grmay Hailu Lilay +6 more
wiley +1 more source
The Core of a Partition Function Game [PDF]
We consider partition function games and introduce new defini-tions of the core that include the effects of externalities. We assume that all players behave rationally and that all stable outcomes arising are consistent with the appropriate generalised ...
László Á. Kóczy
core +2 more sources
Understanding the role of boron in plant adaptation to soil salinity
Physiologia Plantarum, Volume 176, Issue 3, May/June 2024.Abstract Soil salinity is a major environmental constraint affecting the sustainability and profitability of agricultural production systems. Salinity stress tolerance has been present in wild crop relatives but then lost, or significantly weakened, during their domestication. Given the genetic and physiological complexity of salinity tolerance traits,
Mei Qu +6 more
wiley +1 more source