Results 11 to 20 of about 15,527 (251)
Weierstrass points on modular curves X0(N) fixed by the Atkin–Lehner involutions [PDF]
Arab Journal of Mathematical Sciences, 2023 Purpose – The authors have determined whether the points fixed by all the full and the partial Atkin–Lehner involutions WQ on X0(N) for N ≤ 50 are Weierstrass points or not.
Mustafa Bojakli, Hasan Sankari
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Exact verification of the strong BSD conjecture for some absolutely simple abelian surfaces
Comptes Rendus. Mathématique, 2022 Let $X$ be one of the $28$ Atkin–Lehner quotients of a curve $X_0(N)$ such that $X$ has genus $2$ and its Jacobian variety $J$ is absolutely simple. We show that the Shafarevich–Tate group $\Sha (J/\mathbb{Q})$ is trivial.
Keller, Timo, Stoll, Michael
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On average theta functions of certain quadratic forms as sums of Eisenstein series
Open Mathematics, 2023 Let QQ be an integral positive definite quadratic form of level NN in 2k2k variables. Further, we assume that (−1)kN{\left(-1)}^{k}N is a fundamental discriminant. We express the average theta function of QQ as an explicit sum of Eisenstein series, which
Eum Ick Sun
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On the Atkin polynomials [PDF]
Pacific Journal of Mathematics, 2014 18 pages.
El-Guindy, Ahmad, Ismail, Mourad E.H.
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DNA Damage, Defective DNA Repair, and Neurodegeneration in Amyotrophic Lateral Sclerosis
Frontiers in Aging Neuroscience, 2022 DNA is under constant attack from both endogenous and exogenous sources, and when damaged, specific cellular signalling pathways respond, collectively termed the “DNA damage response.” Efficient DNA repair processes are essential for cellular viability ...
Anna Konopka +2 more
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The Role of DNA Damage in Neural Plasticity in Physiology and Neurodegeneration
Frontiers in Cellular Neuroscience, 2022 Damage to DNA is generally considered to be a harmful process associated with aging and aging-related disorders such as neurodegenerative diseases that involve the selective death of specific groups of neurons.
Anna Konopka +2 more
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Introducing authentic materials alongside a reading-approach Latin course
The Journal of Classics Teaching, 2020 The Department for Education (DfE) GCSE Subject Content for Ancient Languages embeds the study of literature as a significant requirement in the specifications of any Latin GCSE (DfE, 2018).
Simon Atkin
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Frontiers in Public Health, 2015 Background More than a third of people over the age of 65 fall every year in the UK and those who fall once are two or three times more likely to fall again.
Shruti Grover, Ross Atkin
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Frontiers in Cellular Neuroscience, 2021 The cellular redox state, or balance between cellular oxidation and reduction reactions, serves as a vital antioxidant defence system that is linked to all important cellular activities.
Cyril Jones Jagaraj +3 more
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THE SHIMURA CURVE OF DISCRIMINANT 15 AND TOPOLOGICAL AUTOMORPHIC FORMS
Forum of Mathematics, Sigma, 2015 We find defining equations for the Shimura curve of discriminant 15 over $\mathbb{Z}[1/15]$. We then determine the graded ring of automorphic forms over the 2-adic integers, as well as the higher cohomology. We apply this to calculate the homotopy groups
TYLER LAWSON
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