Results 11 to 20 of about 616,220 (283)

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, Guerzhoy, Pavel, Kane, Ben   +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

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 ...
Nicole, Marc-Hubert, Rosso, Giovanni
openaire   +2 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, Pejman Sharafi, Ali Bigdeli, Hadi Eslamnia, Payam Rahnamayiezekavat   +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

Form Factors, Thermal States and Modular Structures [PDF]

, 1998
Form factor sequences of an integrable QFT can be defined axiomatically as solutions of a system of recursive functional equations, known as ``form factor equations''.
Babelon, Babelon, Babujian, Baxter, Bernard, Bisognano, Bisognano, Cherednik, De Vega, Destri, Efthimiou, Faddeev, Frenkel, Haag, Jimbo, Karowski, Khoroshkin, Lashkevich, Lian, Liguori, Lukyanov, Max R. Niedermaier, Niedermaier, Niedermaier, Ojima, Reshetikhin, Schroer, Smimov, Smirnov, Smirnov, Smirnov, Smirnov, Takesaki, Tarasov, Thacker, Umezawa, Zamolodchikov   +36 more
core   +6 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, Tetsutaro Higaki, Fumiya Kaneko, Tatsuo Kobayashi, Hajime Otsuka   +4 more
doaj   +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, Belavin, Bert van Geemen, Cacciatori, Cacciatori, D'Hoker, D'Hoker, D'Hoker, D'Hoker, Francesco Dalla Piazza, Grushewsky, Ichikawa, Igusa, Igusa, Morozov, Salvati Manni, Sergio L. Cacciatori, van Geemen, Voronov   +18 more
core   +2 more sources

Modular Forms on Hecke's Modular Groups [PDF]

Proceedings of the American Mathematical Society, 1973
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.
openaire   +2 more sources