Results 31 to 40 of about 28,289 (266)
Spectral sets in $\mathbb{Z}_{p^2qr}$ tile
Discrete Analysis, 2023 Spectral sets in $\mathbb{Z}_{p^2qr}$ tile, Discrete Analysis 2023:5, 10 pp. Fuglede's conjecture (1974) asserts that a measurable set $E\subset \mathbb R^n$ of positive Lebesgue measure tiles $\mathbb R^n$ by translations if and only if the space $L^2 ...
Gábor Somlai
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Supersingular main conjectures, Sylvester's conjecture and Goldfeld's conjecture
, 2020 We prove a $p$-converse theorem for elliptic curves $E/\mathbb{Q}$ with complex multiplication by the ring of integers $\mathcal{O}_K$ of an imaginary quadratic field $K$ in which $p$ is ramified. Namely, letting $r_p = \mathrm{corank}_{\mathbb{Z}_p}\mathrm{Sel}_{p^{\infty}}(E/\mathbb{Q})$, we show that $r_p \le 1 \implies \mathrm{rank}_{\mathbb{Z}}E ...
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Cup‐like nuclei are a distinctive morphological feature observed in certain cases of acute lymphoblastic leukemia (ALL). We provide evidence that they characterize DUX4/ERG ALL independently of IKZF1 deletion and reveal marked mitochondrial accumulation in this ALL subset.
Chloé Arfeuille +9 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Cerebellar ataxia after pediatric brain tumor treatment can cause persistent gait, balance, and speech impairment, yet no established rehabilitation strategy exists. Somato‐cognitive coordination therapy (SCCT) is a virtual reality–guided intervention designed to promote sensorimotor integration through visually constrained reaching
Masanobu Takeuchi +10 more
wiley +1 more source
Some Models of Linguistic Understanding
The Baltic International Yearbook of Cognition, Logic and Communication, 2010 I discuss the conjecture that understanding what is said in an utterance is to be modelled as knowing what is said in that utterance. My main aim is to present a number of alternative models, as a prophylactic against premature acceptance of the ...
Guy Longworth
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Main Conjectures and Modular Forms [PDF]
Current Developments in Mathematics, 2004 This paper reports on joint work with E. Urban that completes a proof of the Main Conjecture of Iwasawa Theory for a broad class of elliptic curves and modular forms. As such, it is concerned mainly with special values of $L$-functions of modular forms and the ways which they get packaged together (such as in $p$-adic $L$-functions).
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Leukemia is the most common childhood cancer in Mexico, and acute lymphoblastic leukemia (ALL) is the most frequent subtype. Exposure to high concentrations of benzene has been associated with ALL incidence, particularly in urban areas. This study evaluated the relationship between distance to benzene emission sources and the number
Orlando Rivera Zurita +5 more
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Mod p points on shimura varieties of parahoric level
Forum of Mathematics, PiWe study the $\overline {\mathbb {F}}_{p}$ -points of the Kisin–Pappas integral models of Shimura varieties of Hodge type with parahoric level. We show that if the group is quasi-split, then every isogeny class contains the reduction of a CM point,
Pol van Hoften
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Laplacian dynamics of convergent and divergent collective behaviors
Journal of Physics: Complexity, 2023 Collective dynamics is ubiquitous in various physical, biological, and social systems, where simple local interactions between individual units lead to complex global patterns.
Yang Tian, Yunhui Xu, Pei Sun
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Proof of the main conjecture on g-areas
, 2014 9 pages ...
Lalonde, François, Shelukhin, Egor
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