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Convergence of Perturbed Sampling Kantorovich Operators in Modular Spaces
In the present paper we study the perturbed sampling Kantorovich operators in the general context of the modular spaces. After proving a convergence...
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Congruences between modular forms
We survey the connections between modular forms and representations of Galois groups that are predicted by the Langlands programme. We focus in...
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Modular phenomena for regularized double zeta values
In this paper, we investigate linear relations among regularized motivic iterated integrals on ℙ 1 ∖ {0, 1, ∞} of depth two, which we call regularized...
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Modular forms via invariant theory
We discuss two simple but useful observations that allow the construction of modular forms from given ones using invariant theory. The first one...
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Modular Nori Motives
AbstractIn a previous article [
4 ], we developed the pioneering Grothendieck approach to the problem of description of the absolute Galois group... -
Group ring valued Hilbert modular forms
In this paper, we study the action of diamond operators on Hilbert modular forms with coefficients in a general commutative ring. In particular, we...
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Martingale inequalities in Orlicz–Karamata modular spaces
In this article, some new martingale inequalities in the framework of Orlicz–Karamata modular spaces are discussed. More precisely, we establish...
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Identifying Trends and Typologies of Modular Constructions in Architecture
Often contemporary buildings undergo several modifications during their life cycle, usually targeting the retrofitting of their inner or outer shell...
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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...
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Congruence relations satisfied by quaternionic modular forms
The theory of quaternionic modular forms has been studied for decades as an example of the modular forms of many variables. The purpose of this study...
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Modular convergence in H-Orlicz spaces of Banach valued functions
In this article we develop the theory of H -Orlicz space generated by generalised Young function. Modular convergence of H -Orlicz space for the case...
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Modular Tensor Categories, Subcategories, and Galois Orbits
We establish a set of general results to study how the Galois action on modular tensor categories interacts with fusion subcategories. This includes...
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Quadratic points on dynamical modular curves
Among all the dynamical modular curves associated to quadratic polynomial maps, we determine which curves have infinitely many quadratic points. This...
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Linear independence of odd periods of modular forms
We investigate the linear dependence among odd periods of modular forms. We show that if the dimension of the space of cuspforms is greater than or...
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On modular cohomotopy groups
Let p be a prime and let π n ( X ; ℤ/ p r ) = [ X, M n (ℤ/ p r )] be the set of homotopy classes of based maps from CW-complexes X into the mod p r Moore spaces M n (ℤ/...
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Just-likely intersections on Hilbert modular surfaces
In this paper, we prove an intersection-theoretic result pertaining to curves in certain Hilbert modular surfaces in positive characteristic p ....
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On smooth plane models for modular curves of Shimura type
In this paper we prove that there are finitely many modular curves that admit a smooth plane model. Moreover, if the degree of the model is greater...
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Computing well-covered vector spaces of graphs using modular decomposition
A graph is well-covered if all its maximal independent sets have the same cardinality. This concept was introduced by Plummer in 1970 and naturally...
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A newform theory for mod-p Katz modular forms
In this paper, we provide a definition of mod- p Katz newforms. Then strong multiplicity-one theorems for mod- p Katz modular forms are proved. We show...
