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Galois families of modular forms and application to weight one
We introduce Galois families of modular forms. They are a new kind of family coming from Galois representations of the absolute Galois groups of...
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Loewner chains with quasiconformal extensions: an approximation approach
A new approach in Loewner Theory proposed by Bracci, Contreras, Díaz-Madrigal and Gumenyuk provides a unified treatment of the radial and the chordal...
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A conditional-logic interpretation for Miller–Tucker–Zemlin inequalities and extensions
Routing problems that seek to traverse a set of cities are faced with the challenge of avoiding subtours. To address this challenge, attention has...
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Reducibility of Secular Polynomials
Analysing graphs on up to three edges we noted that the secular polynomials are reducible if and only if the graphs either contain loops or are...
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Hukuhara differentiability of continuous sine and cosine families of linear set-valued functions
We give necessary and sufficient conditions for a regular sine family of continuous linear set-valued functions associated with a regular cosine...
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Kan Extensions are Partial Colimits
One way of interpreting a left Kan extension is as taking a kind of “partial colimit”, whereby one replaces parts of a diagram by their colimits. We...
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On Initial Extensions of Map**s
We introduce a general concept of an extension for a map** f : X 0 → Y , where X and Y are topological spaces and X 0 ⊂ X. Three constructions of...
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Infinite families of non-monogenic trinomials
Let f ( x ) ∈ ℤ[ x ] be monic and irreducible over ℚ, with deg( f ) = n . Let K = ℚ( θ ), where f ( θ ) = 0, and let ℤ K denote the ring of integers of K . We say f (
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Poisson approximation to the binomial distribution: extensions to the convergence of positive operators
The idea behind Poisson approximation to the binomial distribution was used in de la Cal and Luquin (J Approx Theory 68(3):322–329, 1992) and...
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Complex group rings and group C\(^*\)-algebras of group extensions
Let N and H be groups, and let G be an extension of H by N . In this article, we describe the structure of the complex group ring of G in terms of...
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Stability conditions in families
We develop a theory of Bridgeland stability conditions and moduli spaces of semistable objects for a family of varieties. Our approach is based on...
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Inverse problems of the Erdős-Ko-Rado type theorems for families of vector spaces and permutations
Ever since the famous Erdős-Ko-Rado theorem initiated the study of intersecting families of subsets, extremal problems regarding intersecting...
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Linear Equations with Distributed Riemann–Liouville Derivatives Given by Stieltjes Integrals and Their Analytic Resolving Families of Operators
AbstractLinear equations in Banach spaces with distributed fractional derivatives given by the Riemann–Stieltjes integral of the fractional...
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A note on simple K3 singularities and families of weighted K3 surfaces
We discuss properties of the Seifert form for simple K 3 singularities, and of the Picard lattices of families of weighted K 3 surfaces. We study a...
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Families of monotone Lagrangians in Brieskorn–Pham hypersurfaces
We present techniques, inspired by monodromy considerations, for constructing compact monotone Lagrangians in certain affine hypersurfaces, chiefly...
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