Results 11 to 20 of about 609,898 (329)
Mock modular forms as $p$-adic modular forms [PDF]
Transactions of the American Mathematical Society, 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
core +6 more sources
Modular Forms and Weierstrass Mock Modular Forms [PDF]
Mathematics, 2016 Alfes, Griffin, Ono, and Rolen have shown that the harmonic Maass forms arising from Weierstrass ζ-functions associated to modular elliptic curves “encode” the vanishing and nonvanishing for central values and derivatives of twisted Hasse-Weil L ...
Amanda Clemm
doaj +3 more sources
Holomorphic almost modular forms [PDF]
Bulletin of the London Mathematical Society, 2003 Holomorphic almost modular forms are holomorphic functions of the complex upper half plane which can be approximated arbitrarily well (in a suitable sense) by modular forms of congruence subgroups of large index in $\SL(2,\ZZ)$.
Marklof, Jens
core +5 more sources
Perfectoid Drinfeld Modular Forms [PDF]
Journal de théorie des nombres de Bordeaux, 2022 In the first part, we revisit Drinfeld modular curves associated to GL(2) from the perfectoid point of view, and we show how to recover (a perfectized) part of the theory of overconvergent π-adic Drinfeld modular forms. In the second part, we review open problems for families of Drinfeld modular forms for GL(n).
Nicole, Marc-Hubert, Rosso, Giovanni
openaire +2 more sources
Computing Hilbert modular forms as orthogonal modular forms [PDF]
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Jeffery P. Hein +2 more
openalex +3 more sources
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
doaj +1 more source
Experimental Study on the Natural Dynamic Characteristics of Steel-Framed Modular Structures
Buildings, 2022 Corner-supported modular structures are made of repetitive prefurnished, prefinished modular units, which are fabricated in a factory and transported to the site of a building to form a permanent building block.
Mostafa Farajian +4 more
doaj +1 more source
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
core +1 more source
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
core +2 more sources
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
doaj +1 more source