Results 1 to 10 of about 2,628,613 (92)

On Fermat's equation over some quadratic imaginary number fields. [PDF]

open access: yesRes Number Theory, 2018
Assuming a deep but standard conjecture in the Langlands programme, we prove Fermat's Last Theorem over $\mathbb Q(i)$. Under the same assumption, we also prove that, for all prime exponents $p \geq 5$, Fermat's equation $a^p+b^p+c^p=0$ does not have non-
Ţurcaş GC.
europepmc   +4 more sources

Plant Secondary Metabolites as Defense Tools against Herbivores for Sustainable Crop Protection

open access: yesInternational Journal of Molecular Sciences, 2022
Plants have evolved several adaptive strategies through physiological changes in response to herbivore attacks. Plant secondary metabolites (PSMs) are synthesized to provide defensive functions and regulate defense signaling pathways to safeguard plants ...
Pratap A. Divekar   +13 more
semanticscholar   +1 more source

BeStSel: webserver for secondary structure and fold prediction for protein CD spectroscopy

open access: yesNucleic Acids Res., 2022
Circular dichroism (CD) spectroscopy is widely used to characterize the secondary structure composition of proteins. To derive accurate and detailed structural information from the CD spectra, we have developed the Beta Structure Selection (BeStSel ...
András Micsonai   +11 more
semanticscholar   +1 more source

Linking Plant Secondary Metabolites and Plant Microbiomes: A Review

open access: yesFrontiers in Plant Science, 2021
Plant secondary metabolites (PSMs) play many roles including defense against pathogens, pests, and herbivores; response to environmental stresses, and mediating organismal interactions.
Zhiqian Pang   +7 more
semanticscholar   +1 more source

On Some l‐Adic Representations of Gal( (Q¯/Q) Attached to Noncongruence Subgroups [PDF]

open access: yes, 2004
The l‐adic parabolic cohomology groups attached to noncongruence subgroups of SL2(Z) are finite‐dimensional l‐adic representations of Gal(Q¯/K) for some number field K.
A. Scholl
semanticscholar   +1 more source

Plant Secondary Metabolite Biosynthesis and Transcriptional Regulation in Response to Biotic and Abiotic Stress Conditions

open access: yesAgronomy, 2021
Plant secondary metabolites (SMs) play important roles in plant survival and in creating ecological connections between other species. In addition to providing a variety of valuable natural products, secondary metabolites help protect plants against ...
R. Jan   +4 more
semanticscholar   +1 more source

An Application of Maeda's Conjecture to the Inverse Galois Problem [PDF]

open access: yes, 2012
It is shown that Maeda’s conjecture on eigenforms of level 1 implies that for every positive even d and every p in a density-one set of primes, the simple group PSL2(Fpd) occurs as the Galois group of a number field ramifying only at p. MSC (2010): 11F11
G. Wiese
semanticscholar   +1 more source

DichroWeb, a website for calculating protein secondary structure from circular dichroism spectroscopic data

open access: yesProtein Science, 2021
Circular dichroism (CD) spectroscopy is a widely‐used method for characterizing the secondary structures of proteins. The well‐established and highly used analysis website, DichroWeb (located at: http://dichroweb.cryst.bbk.ac.uk/html/home.shtml) enables ...
A. Miles, S. G. Ramalli, B. Wallace
semanticscholar   +1 more source

ON THE INTEGRAL HODGE AND TATE CONJECTURES OVER A NUMBER FIELD

open access: yesForum of Mathematics, Sigma, 2013
Hassett and Tschinkel gave counterexamples to the integral Hodge conjecture among 3-folds over a number field. We work out their method in detail, showing that essentially all known counterexamples to the integral Hodge conjecture over the complex ...
BURT TOTARO
doaj   +1 more source

Base change for Elliptic Curves over Real Quadratic Fields [PDF]

open access: yes, 2014
Let E be an elliptic curve over a real quadratic field K and F/K a totally real finite Galois extension. We prove that E/F is modular.Comment: added a short proof of Proposition 2.1 and a few more small changes to improve ...
Dieulefait, Luis, Freitas, Nuno
core   +4 more sources

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