Results 21 to 30 of about 616,220 (283)
Spatial characteristics of contemporary prefabricated modular dormitory cells [PDF]
Spatium, 2022 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
doaj +1 more source
Advances in Mathematics, 2018 The denominator formula for the Monster Lie algebra is the product expansion for the modular function $j(z)-j(τ)$ given in terms of the Hecke system of $\operatorname{SL}_2(\mathbb Z)$-modular functions $j_n(τ)$. It is prominent in Zagier's seminal paper on traces of singular moduli, and in the Duncan-Frenkel work on Moonshine.
Bringmann, Kathrin +4 more
openaire +5 more sources
The three-loop equal-mass banana integral in ε-factorised form with meromorphic modular forms
Journal of High Energy Physics, 2022 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
doaj +1 more source
On quasi-modular forms, almost holomorphic modular forms, and the vector-valued modular forms of Shimura [PDF]
The Ramanujan Journal, 2014 17 pages, minor ...
openaire +3 more sources
On the Fourier expansions of Jacobi forms
International Journal of Mathematics and Mathematical Sciences, 2004 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
doaj +1 more source
Ramanujan and coefficients of meromorphic modular forms [PDF]
, 2016 The study of Fourier coefficients of meromorphic modular forms dates back to Ramanujan, who, together with Hardy, studied the reciprocal of the weight 6 Eisenstein series. Ramanujan conjectured a number of further identities for other meromorphic modular
Bringmann, Kathrin, Kane, Ben
core +2 more sources
, 2021 We examine several currently used techniques for visualizing complex-valued functions applied to modular forms. We plot several examples and study the benefits and limitations of each technique. We then introduce a method of visualization that can take advantage of colormaps in Python's matplotlib library, describe an implementation, and give more ...
openaire +2 more sources
Difference between Learning Basic Form Generation and Automotive Exterior Design
Education Sciences, 2019 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
doaj +1 more source
Modular Hamiltonians for the massless Dirac field in the presence of a boundary
Journal of High Energy Physics, 2021 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
doaj +1 more source
A Hypergeometric Version of the Modularity of Rigid Calabi-Yau Manifolds [PDF]
, 2018 We examine instances of modularity of (rigid) Calabi-Yau manifolds whose periods are expressed in terms of hypergeometric functions. The $p$-th coefficients $a(p)$ of the corresponding modular form can be often read off, at least conjecturally, from the ...
Zudilin, Wadim
core +4 more sources