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Prime numbers as values of nested Beatty sequences
We show that under certain conditions, nested Beatty sequences assume infinitely many prime values.
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Figurate numbers, forms of mixed type, and their representation numbers
In this article, we consider the problem of determining formulas for the number of representations of a natural number n by a sum of figurate numbers...
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Instanton sheaves on Fano threefolds
Generalizing the definitions originally presented by Kuznetsov and Faenzi, we study (possibly non locally free) instanton sheaves of arbitrary rank...
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On Yau sequence over complete intersection surface singularities of Brieskorn type
In this paper, we study the Yau sequence concerning the minimal cycle over complete intersection surface singularities of Brieskorn type, and...
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Lie algebras of differential operators for matrix valued Laguerre type polynomials
We study algebras of differential and difference operators acting on matrix valued orthogonal polynomials (MVOPs) with respect to a weight matrix of...
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Yet another proof of the density in energy of Lipschitz functions
We provide a new, short proof of the density in energy of Lipschitz functions into the metric Sobolev space defined by using plans with barycenter...
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Moments of Kummer sums weighted by L-functions
The main purpose of this article is to study higher order moments of Kummer sums weighted by L -functions using estimates for character sums and...
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On the orthogonality of Atkin-like polynomials and orthogonal polynomial expansion of generalized Faber polynomials
In this paper, we consider the Atkin-like polynomials that appeared in the study of normalized extremal quasimodular forms of depth 1 on
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Cycle integrals of meromorphic modular forms and Siegel theta functions
We study meromorphic modular forms associated with positive definite binary quadratic forms and their cycle integrals along closed geodesics in the...