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Non-vanishing theorems for central L-values of some elliptic curves with complex multiplication

期刊: PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2020; 121 (6)

The paper uses Iwasawa theory at the prime p=2 to prove non-vanishing theorems for the value at s=1 of the complex L-series of certain quadratic twist......

Smooth linearization of nonautonomous differential equations with a nonuniform dichotomy

期刊: PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2020; 121 (1)

In this paper we give a smooth linearization theorem for nonautonomous differential equations with a nonuniform strong exponential dichotomy. In terms......

Discreteness of silting objects and t-structures in triangulated categories

期刊: PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2019; 118 (1)

We introduce the notion of ST-pairs of triangulated subcategories, a prototypical example of which is the pair of the bound homotopy category and the ......

JIF:1.19

Concentration at sub-manifolds for an elliptic Dirichlet problem near high critical exponents

期刊: PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2019; 118 (2)

Let omega be an open bounded domain in Rn with smooth boundary partial differential omega. We consider the equation Delta u+un-k+2n-k-2-epsilon=0in om......

JIF:1.19

Boundedness and stabilization in a population model with cross-diffusion for one species

期刊: PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2019; 119 (6)

This work studies the two-species Shigesada-Kawasaki-Teramoto model with cross-diffusion for one species, as given by ut=Delta[(d1+a11u+a12v)u]+mu 1u(......

JIF:1.19

The Waring-Goldbach problem for cubes with an almost prime

期刊: PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2019; 119 (4)

We show that every sufficiently large even integer can be written as the sum of eight cubes, seven of which are cubes of primes, and the remaining one......

JIF:1.19

Pointwise estimates for heat kernels of convolution-type operators

期刊: PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2018; 117 ()

We study the large-time behaviour of the fundamental solution of parabolic equations with an elliptic part being non-local convolution-type operator. ......

JIF:1.19

Strong approximation with Brauer-Manin obstruction for groupic varieties

期刊: PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2018; 117 ()

Strong approximation with Brauer-Manin obstruction is established for smooth varieties containing a connected linear algebraic group as an open subset......

JIF:1.19

Uniform bounds for Weil-Petersson curvatures

期刊: PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2018; 117 ()

We find bounds for Weil-Petersson holomorphic sectional curvature, and the Weil-Petersson curvature operator in several regimes, that do not depend on......

JIF:1.19

Local uniqueness and periodicity induced by concentration

期刊: PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2017; 114 ( )

We consider poly-harmonic equations with critical exponents. Under some conditions on the coefficient K(y) in the equations near its critical points, ......

JIF:1.19

Cluster algebras and semi-invariant rings I. Triple flags

期刊: PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2017; 115 ( )

We prove that each semi-invariant ring of the complete triple flag of length n is an upper cluster algebra associated to an ice hive quiver. We find a......

JIF:1.19

Global topology of hyperbolic components: Cantor circle case

期刊: PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2017; 115 ( )

We prove that in the moduli space Md of degree d2 rational maps, any hyperbolic component in the disconnectedness locus and of Cantor circle type is a......

JIF:1.19

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