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pro vyhledávání: '"Duker A"'
We obtain density theorems for cuspidal automorphic representations of $\text{GL}_n$ over $\mathbb{Q}$ which fail the generalized Ramanujan conjecture at some place. We depart from previous approaches based on Kuznetsov-type trace formulae, and inste
Externí odkaz:
http://arxiv.org/abs/2408.13682
Autor:
Duker Annelieke E.C., Karimba Benson Mutuma, Wani Grace E., Prasad Pooja, Van der Zaag Pieter, De Fraiture Charlotte
Publikováno v:
Cahiers Agricultures, Vol 31, p 7 (2022)
In the semi-arid lands of southern Kenya, a dynamic process of farmer-led irrigation has developed over the past two decades. It is characterised by short-term agreements to access land and water. Resident and migrant farmers, capital providers and l
Externí odkaz:
https://doaj.org/article/de710fb80ec445ba9cf095a582ff979b
In this expository note, we give a concise and accessible introduction to the real-analytic determinant method for counting integral points on algebraic curves, based on the classic 1989 paper of Bombieri-Pila.
Comment: 17 pages. arXiv admin not
Comment: 17 pages. arXiv admin not
Externí odkaz:
http://arxiv.org/abs/2312.12890
Autor:
Lichtman, Jared Duker
We show the primes have level of distribution $66/107\approx 0.617$ using triply well-factorable weights. This gives the highest level of distribution for primes in any setting, improving on the prior record level $3/5=0.60$ of Maynard. We also exten
Externí odkaz:
http://arxiv.org/abs/2309.08522
In 1935, Erd\H{o}s proved that the sums $f_k=\sum_n 1/(n\log n)$, over integers $n$ with exactly $k$ prime factors, are bounded by an absolute constant, and in 1993 Zhang proved that $f_k$ is maximized by the prime sum $f_1=\sum_p 1/(p\log p)$. Accor
Externí odkaz:
http://arxiv.org/abs/2303.08277
For $k\ge1$, let $R_k(x)$ denote the reciprocal sum up to $x$ of numbers with $k$ prime factors, counted with multiplicity. In prior work, the authors obtained estimates for $R_k(x)$, extending Mertens' second theorem, as well as a finer-scale estima
Externí odkaz:
http://arxiv.org/abs/2303.06481
Autor:
Lichtman, Jared Duker
We prove the infinitude of shifted primes $p-1$ without prime factors above $p^{0.2844}$. This refines $p^{0.2961}$ from Baker and Harman in 1998. Consequently, we obtain an improved lower bound on the the distribution of Carmichael numbers. Our main
Externí odkaz:
http://arxiv.org/abs/2211.09641
Autor:
Pooja Prasad, Annelieke Duker, Diego Zuluaga Velasquez, Moline Chauruka, Benson M. Karimba, Charlotte de Fraiture, Emmanuel Manzungu, Pieter van der Zaag
Publikováno v:
Frontiers in Water, Vol 6 (2024)
Conventional approaches to irrigation development involve large lumpsum investments in big infrastructure that cannot adapt to changing climate and socio-economic conditions. There is an urgent need for alternative ways of investing in smallholder ir
Externí odkaz:
https://doaj.org/article/a514a2916ed045c4b845d0b3b66605c0
Publikováno v:
PeerJ, Vol 12, p e17471 (2024)
The restoration of succulent thicket (the semi-arid components of the Albany Subtropical Thicket biome endemic to South Africa) has largely focused on the reintroduction of Portulacaria afra L. Jacq—a leaf- and stem-succulent shrub—through the pl
Externí odkaz:
https://doaj.org/article/77e1916d6e414de1913c50e4174707f3
Publikováno v:
Frontiers in Social Psychology, Vol 2 (2024)
Racial inequality has been a persistent component of American society since its inception. The present research investigates how lay beliefs about the nature of racism—as primarily caused by prejudiced individuals or, rather, to structural factors
Externí odkaz:
https://doaj.org/article/dfd1c87733874f56b1e5e2fc0bd7b87b