Results 41 to 50 of about 2,907,035 (159)

Regularized inner products and meromorphic modular forms

, 2017
In this talk, we consider a regularization of Petersson's inner product which is well-defined (and finite) between two meromorphic modular forms and agrees with Petersson's inner product whenever the latter exists.
Kane, BR
core   +1 more source

On the arithmetic nature of coefficients of multiplicative eta-functions

Вестник Самарского университета: Естественнонаучная серия
In the article we study the arithmetic nature of the coefficients of multiplicative eta-products, also called McKay functions. For some functions it is possible to establish Hecke correspondence between the coefficients of McKay and Hecke grossen ...
G. V. Voskresenskaya
doaj   +1 more source

Flux vacua and modularity for $\mathbb{Z}_2$ symmetric Calabi-Yau manifolds

SciPost Physics, 2023
We find continuous families of supersymmetric flux vacua in IIB Calabi-Yau compactifications for multiparameter manifolds with an appropriate $\mathbb{Z}_{2}$ symmetry.
Philip Candelas, Xenia de la Ossa, Pyry Kuusela, Joseph McGovern
doaj   +1 more source

Computing classical modular forms [PDF]

, 2021
We discuss practical and some theoretical aspects of computing a database of classical modular forms in the L-functions and Modular Forms Database (LMFDB).Comment: 63 pages; minor edits, including a correction to Conjecture 8.5.
David Roe, Bober, Jonathan, Bober, J., Costa, E., Sutherland, Andrew, Roe, D., John E. Cremona, John Voight, Lee, Min, Costa, Edgar, Best, A. J., Booker, Andrew R, Best, Alex, Bober, Jonathan W, Edgar Costa, Roe, David, Sutherland, A. V., Maarten Derickx, David Lowry-Duda, Best, Alex J., Andrew R. Booker, Voight, J., Cremona, John, Booker, A. R., Cremona, J. E., Voight, John, Alex J. Best, Booker, Andrew R., Lowry-Duda, David, Sutherland, Andrew V., Derickx, Maarten, Derickx, M., Andrew V. Sutherland, Lowry-Duda, D., Min Lee, Jonathan Bober, Lee, M.   +36 more
core   +1 more source

Zeta polynomials for modular forms

, 2017
The speaker will discuss recent work on Manin's theory of zeta polynomials for modular forms. He will describe recent results which confirm Manin's speculation that there is such a theory which arises from periods of newforms.
Ono, Ken
core   +1 more source

Heterotic-string amplitudes at one loop: modular graph forms and relations to open strings

Journal of High Energy Physics, 2019
We investigate one-loop four-point scattering of non-abelian gauge bosons in heterotic string theory and identify new connections with the corresponding open-string amplitude.
Jan E. Gerken, Axel Kleinschmidt, Oliver Schlotterer   +2 more
doaj   +1 more source

Generating weights for modules of vector-valued modular forms

, 2017
Vector-valued modular forms have recently been studied for applications to conformal field theory. In this talk, given an n-dimensional representation of the metaplectic group (e.g.
Candelori, Luca
core   +1 more source

Modular forms of virtually real-arithmetic type I: Mixed mock modular forms yield vector-valued modular forms

, 2021
The theory of elliptic modular forms has gained significant momentum from the discovery of relaxed yet well-behaved notions of modularity, such as mock modular forms, higher order modular forms, and iterated Eichler-Shimura integrals. Applications beyond
Raum, Martin, Mertens, Michael H.
core   +1 more source

Developing a modular approach to music [PDF]

The commentary deals with the two principal areas of my compositional work from 1996- 2003: short pieces and modularity. Taking a survey of compositional durations as a starting point, assumptions related to duration are discussed in the context of ...
Saunders, James
core   +4 more sources

Modular A 5 symmetry for flavour model building

Journal of High Energy Physics, 2019
In the framework of the modular symmetry approach to lepton flavour, we consider a class of theories where matter superfields transform in representations of the finite modular group Γ5 ≃ A 5.
P. P. Novichkov, J. T. Penedo, S. T. Petcov, A. V. Titov   +3 more
doaj   +1 more source