On Fermat's equation over some quadratic imaginary number fields. [PDF]
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
Scalable Regioselective and Stereoselective Synthesis of Functionalized (E)-4-Iodobut-3-en-1-ols: Gram-Scale Total Synthesis of Fungal Decanolides and Derivatives. [PDF]
Sherwood AM +5 more
europepmc +1 more source
Esters of phosphoric acid: Phosphorylaminoethanol and phosphorylcholine. [PDF]
Plimmer RH, Burch WJ.
europepmc +1 more source
The Diurnal Variation of the Gaseous Constituents of River Waters. Part II. [PDF]
Butcher RW, Pentelow FT, Woodley JW.
europepmc +1 more source
The Physiological Rôle of Vitamin B. Part I: The Relation of Vitamin B to Tissue Oxidations. [PDF]
Drummond JC, Marrian GF.
europepmc +1 more source
Degeneration of Hodge structures over Picard modular surfaces [PDF]
We study variations of Hodge structures over a Picard modular surface, and compute the weights and types of their degenerations through the cusps of the Baily-Borel compactification.
Ancona, Giuseppe
core +1 more source
On the GL$_{n}$-eigenvariety and a conjecture of Venkatesh [PDF]
Let π be a cuspidal, cohomological automorphic representation of GL$_{n}$(A). Venkatesh has suggested that there should exist a natural action of the exterior algebra of a certain motivic cohomology group on the π-part of the Betti cohomology (with ...
core +2 more sources
Robert MacPherson and arithmetic groups [PDF]
We survey contributions of Robert MacPherson to the theory of arithmetic groups. There are two main areas we discuss: (i) explicit reduction theory for Siegel modular threefolds, and (ii) constructions of compactifications of locally symmetric spaces ...
Gunnells, Paul E.
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An Eisenstein ideal for imaginary quadratic fields and the Bloch-Kato conjecture for Hecke characters [PDF]
For certain algebraic Hecke characters chi of an imaginary quadratic field F we define an Eisenstein ideal in a p-adic Hecke algebra acting on cuspidal automorphic forms of GL_2/F.
Agboola +29 more
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Special Values of L-functions for Orthogonal Groups
This is an announcement of certain rationality results for the critical values of the degree-2n L-functions attached to GL(1) $\times$ SO(n, n) over $\mathbb Q$ for an even positive integer n.
Bhagwat, Chandrasheel, Raghuram, A.
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