Results 31 to 40 of about 2,907,035 (159)

Genuine Bianchi modular forms of higher level, at varying weight and discriminant [PDF]

, 2019
peer reviewedBianchi modular forms are automorphic forms over an imaginary quadratic field, associated to a Bianchi group. Those of the cuspidal Bianchi modular forms which are relatively well understood, namely (twists of) base-change forms and CM-forms,
Rahm, Alexander, D., Panagiotis Tsaknias, Alexander D. Rahm, RAHM, Alexander, Rahm, Alexander D., TSAKNIAS, Panagiotis   +5 more
core   +1 more source

3d modularity

Journal of High Energy Physics, 2019
We find and propose an explanation for a large variety of modularity-related symmetries in problems of 3-manifold topology and physics of 3d N $$ \mathcal{N} $$ = 2 theories where such structures a priori are not manifest.
Miranda C.N. Cheng, Sungbong Chun, Francesca Ferrari, Sergei Gukov, Sarah M. Harrison   +4 more
doaj   +1 more source

Generalized modular forms [PDF]

, 2003
The theory of “generalized modular forms,” initiated here, grows naturally out of questions inherent in rational conformal field theory. The latter physical theory studies q-series arising as trace functions (or partition functions), which generate a ...
Geoffrey Mason, Marvin Knopp, Mason, Geoffrey, Knopp, Marvin   +3 more
core   +1 more source

On the normalisation of the modular forms in modular invariant theories of flavour

Physics Letters B
The problem of normalisation of the modular forms in modular invariant lepton and quark flavour models is discussed. Modular invariant normalisations of the modular forms are proposed.
S.T. Petcov
doaj   +1 more source

Poincaré series for modular graph forms at depth two. Part II. Iterated integrals of cusp forms

Journal of High Energy Physics, 2022
We continue the analysis of modular invariant functions, subject to inhomogeneous Laplace eigenvalue equations, that were determined in terms of Poincaré series in a companion paper. The source term of the Laplace equation is a product of (derivatives of)
Daniele Dorigoni, Axel Kleinschmidt, Oliver Schlotterer   +2 more
doaj   +1 more source

sl(2)ˆ Decomposition of denominator formulae of some BKM Lie superalgebras - II

Nuclear Physics B, 2023
The square-root of Siegel modular forms of CHL ZN orbifolds of type II compactifications are denominator formulae for some Borcherds-Kac-Moody Lie superalgebras for N=1,2,3,4.
Suresh Govindarajan, Mohammad Shabbir
doaj   +1 more source

Modular forms

, 2008
Modular forms are functions with an enormous amount of symmetry that play a central role in number theory, connecting it with analysis and geometry. They have played a prominent role in mathematics since the 19th century and their study continues to ...
Edixhoven, B., Moonen, B., van der Geer, G.   +2 more
core   +2 more sources

ρ — Adic Analogues of Ramanujan Type Formulas for 1/π

Mathematics, 2013
Following Ramanujan’s work on modular equations and approximations of π, there are formulas for 1/π of the form [PLEASE CHECK FORMULA IN THE PDF] for d = 2, 3, 4, 6, where λd are singular values that correspond to elliptic curves with complex ...
Sarah Chisholm, Alyson Deines, Ling Long, Gabriele Nebe, Holly Swisher   +4 more
doaj   +1 more source

Mock modular forms as p-adic modular forms [PDF]

, 2011
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.
Guerzhoy, Pavel, KANE, BEN, Kathrin Bringmann, Pavel Guerzhoy, Bringmann, Kathrin, Ben Kane   +5 more
core   +1 more source

PERFECTOID DRINFELD MODULAR FORMS [PDF]

, 2021
International audienceIn 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.
Marc-Hubert Nicole, Nicole, Marc-Hubert, Giovanni Rosso, Rosso, Giovanni   +3 more
core   +1 more source