Results 1 to 10 of about 2,628,613 (92)
On Fermat's equation over some quadratic imaginary number fields. [PDF]
Res 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
International 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
Nucleic 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
Frontiers 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]
, 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
Agronomy, 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]
, 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
Protein 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
Forum 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]
, 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