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Spatial characteristics of contemporary prefabricated modular dormitory cells [PDF]
Prefabricated modular architecture brings diversified opportunities for sustainable university student accommodation. Modern and modular construction systems offer affordable and comfortable housing to students.
Vráblová Edita +2 more
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Asymptotic expansions, $L$-values and a new Quantum Modular Form [PDF]
In 2010 Zagier introduced the notion of a quantum modular form. One of his first examples was the "strange" function $F(q)$ of Kontsevich. Here we produce a new example of a quantum modular form by making use of some of Ramanujan's mock theta functions ...
Costa, Edgar +2 more
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Topological Modular Forms [PDF]
DEFINITION 3.5. An integral modular form of weight n is a law associating to every pointed curve of genus 1 a section of wo" in a way compatible with base change.
Douglas, C +3 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Knopp, Marvin, Mason, Geoffrey
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The three-loop equal-mass banana integral in ε-factorised form with meromorphic modular forms
We show that the differential equation for the three-loop equal-mass banana integral can be cast into an ε-factorised form with entries constructed from (meromorphic) modular forms and one special function, which can be given as an iterated integral of ...
Sebastian Pögel +2 more
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On the Fourier expansions of Jacobi forms
We use the relationship between Jacobi forms and vector-valued modular forms to study the Fourier expansions of Jacobi forms of indexes p, p2, and pq for distinct odd primes p, q.
Howard Skogman
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Modular Hamiltonians for the massless Dirac field in the presence of a boundary
We study the modular Hamiltonians of an interval for the massless Dirac fermion on the half-line. The most general boundary conditions ensuring the global energy conservation lead to consider two phases, where either the vector or the axial symmetry is ...
Mihail Mintchev, Erik Tonni
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Modular Forms on Hecke's Modular Groups [PDF]
Let H={-r=x+iy:y>0}. Let A>0, k>O, y=I1. Let M(Q, k, y) denote the set of functions f for which f(r)= .D=o ane2'i"rli and f(-1/T)=y(&/i)kf(T), for all T r H. Let MO(A, k, y) denote the set of feM(A, k. y) for which f((T)=O(yc) uniformly for all x as y-+, for some real c.
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Arithmetic of generalized Dedekind sums and their modularity
Dedekind sums were introduced by Dedekind to study the transformation properties of Dedekind η function under the action of SL2(ℤ). In this paper, we study properties of generalized Dedekind sums si,j(p, q). We prove an asymptotic expansion of a function
Choi Dohoon +3 more
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Difference between Learning Basic Form Generation and Automotive Exterior Design
This study explores the correlation between learning about basic form factors and learning automotive exterior design (AED) for the first time. To help beginner AED students learn smoothly, we developed modular courses and proposed to teach basic form ...
Shih-Hung Cheng +2 more
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