Results 11 to 20 of about 592,821 (170)
A Conjecture of Han on 3-Cores and Modular Forms
Mathematics, 2014 In his study of Nekrasov–Okounkov type formulas on “partition theoretic” expressions for families of infinite products, Han discovered seemingly unrelated q-series that are supported on precisely the same terms as these infinite products.
Amanda Clemm
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Mock modular forms as $p$-adic modular forms [PDF]
, 2010 In this paper, we consider the question of correcting mock modular forms in order to obtain $p$-adic modular forms. In certain cases we show that a mock modular form $M^+$ is a $p$-adic modular form.
Bringmann, Kathrin +2 more
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Moduli inflation from modular flavor symmetries
Journal of High Energy Physics, 2023 We study slow-roll inflation model controlled by the modular flavor symmetry. In the model, the modulus field plays a role of inflaton and the introduction of the stabilizer field coupled to a modular form in the superpotential produces the inflaton ...
Yoshihiko Abe +4 more
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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
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Quantum Invariant, Modular Form, and Lattice Points [PDF]
, 2004 We study the Witten--Reshetikhin--Turaev SU(2) invariant for the Seifert manifold with 4-singular fibers. We define the Eichler integrals of the modular forms with half-integral weight, and we show that the invariant is rewritten as a sum of the Eichler ...
Hikami, Kazuhiro
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Modular Forms and Three Loop Superstring Amplitudes [PDF]
, 2008 We study a proposal of D'Hoker and Phong for the chiral superstring measure for genus three. A minor modification of the constraints they impose on certain Siegel modular forms leads to a unique solution.
Belavin +18 more
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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
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Asymptotic expansions, $L$-values and a new Quantum Modular Form [PDF]
, 2013 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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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
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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
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