Results 11 to 20 of about 8,982 (113)

Eichler integrals and harmonic weak Maass forms [PDF]

, 2013
Recently, K. Bringmann, P. Guerzhoy, Z. Kent and K. Ono studied the connection between Eichler integrals and the holomorphic parts of harmonic weak Maass forms on the full modular group.
Choi, Dohoon, Kim, Byungchan, Lim, Subong   +2 more
core   +1 more source

Topological Strings and (Almost) Modular Forms [PDF]

, 2006
The B-model topological string theory on a Calabi-Yau threefold X has a symmetry group Gamma, generated by monodromies of the periods of X. This acts on the topological string wave function in a natural way, governed by the quantum mechanics of the phase
A. Klemm, A. Klemm, A.A. Gerasimov, Albrecht Klemm, C. Vafa, C. Vafa, G.W. Moore, H. Farkas, H. Klingen, J.W.S. Cassels, M. Aganagic, M. Aganagic, M. Aganagic, M. Aganagic, M. Bershadsky, M. Bershadsky, Mina Aganagic, N. Nekrasov, N. Seiberg, N.A. Nekrasov, P. Candelas, R. Dijkgraaf, S. Kachru, S. Katz, T.M. Chiang, Vincent Bouchard   +25 more
core   +4 more sources

One-Loop BPS amplitudes as BPS-state sums [PDF]

, 2012
Recently, we introduced a new procedure for computing a class of one-loop BPS-saturated amplitudes in String Theory, which expresses them as a sum of one-loop contributions of all perturbative BPS states in a manifestly T-duality invariant fashion.
Angelantonj, Carlo, Florakis, Ioannis, Pioline, Boris   +2 more
core   +5 more sources

Explicit congruences for mock modular forms [PDF]

, 2015
In recent work of Bringmann, Guerzhoy, and the first author, p-adic modular forms were constructed from mock modular forms.
Kane, Ben, Waldherr, Matthias
core   +2 more sources

$p$-adic Limit of Weakly Holomorphic Modular Forms of Half Integral Weight

, 2007
Serre obtained the p-adic limit of the integral Fourier coefficient of modular forms on $SL_2(\mathbb{Z})$ for $p=2,3,5,7$. In this paper, we extend the result of Serre to weakly holomorphic modular forms of half integral weight on $ _{0}(4N)$ for $N=1,2,4$.
Choi, Dohoon, Choie, YoungJu
openaire   +2 more sources

Algebraic formulas for the coefficients of mock theta functions and Weyl vectors of Borcherds products [PDF]

, 2017
We present some applications of the Kudla-Millson and the Millson theta lift. The two lifts map weakly holomorphic modular functions to vector valued harmonic Maass forms of weight $3/2$ and $1/2$, respectively.
Bruinier, Jan Hendrik, Schwagenscheidt, Markus   +1 more
core   +1 more source

$p$-adic properties of coefficients of weakly holomorphic modular forms [PDF]

, 2009
We examine the Fourier coefficients of modular forms in a canonical basis for the spaces of weakly holomorphic modular forms of weights 4, 6, 8, 10, and 14, and show that these coefficients are often highly divisible by the primes 2, 3, and 5.Comment: 16
Doud, Darrin, Jenkins, Paul
core   +1 more source

Regularized inner products of meromorphic modular forms and higher Green's functions [PDF]

, 2018
In this paper we study generalizations of quadratic form Poincar\'e series, which naturally occur as outputs of theta lifts. Integrating against them yields evaluations of higher Green's functions.
Bringmann, Kathrin, Kane, Ben, von Pippich, Anna-Maria   +2 more
core   +2 more sources

Locally harmonic Maass forms and the kernel of the Shintani lift [PDF]

, 2014
In this paper we define a new type of modular object and construct explicit examples of such functions. Our functions are closely related to cusp forms constructed by Zagier which played an important role in the construction by Kohnen and Zagier of a ...
Bringmann, Kathrin, Kane, Ben, Kohnen, Winfried   +2 more
core   +3 more sources

Class invariants for certain non-holomorphic modular functions [PDF]

, 2015
Inspired by prior work of Bruinier and Ono and Mertens and Rolen, we study class polynomials for non-holomorphic modular functions arising from modular forms of negative weight.
Braun, Joschka J., Buck, Johannes J., Girsch, Johannes   +2 more
core   +2 more sources