Results 71 to 80 of about 2,907,134 (258)
From Holonomy of the Ising Model Form Factors to n-Fold Integrals and the Theory of Elliptic Curves
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We recall the form factors $f^(j)_{N,N}$ corresponding to the $lambda$-extension $C(N,N; lambda)$ of the two-point diagonal correlation function of the Ising model on the square lattice and their associated linear differential equations which exhibit ...
Salah Boukraa +3 more
doaj
Non-holomorphic modular forms from zeta generators
Journal of High Energy PhysicsWe study non-holomorphic modular forms built from iterated integrals of holomorphic modular forms for SL(2, ℤ) known as equivariant iterated Eisenstein integrals.
Daniele Dorigoni +7 more
doaj +1 more source
MOCK THETA FUNCTIONS AND QUANTUM MODULAR FORMS
Forum of Mathematics, Pi, 2013 Ramanujan’s last letter to Hardy concerns the asymptotic properties of modular forms and his ‘mock theta functions’. For the mock theta function $f(q)$, Ramanujan claims that as $q$ approaches an even-order $2k$ root of unity, we have $$\begin{eqnarray ...
AMANDA FOLSOM +2 more
doaj +1 more source
Modular curves, modular forms, lattices, Galois representations
, 2011 This chapter provides the necessary background concerning modular curves and modular forms. It covers modular curves, modular forms, lattices and modular forms, Galois representations attached to eigenforms, and Galois representations over finite fields ...
Bas Edixhoven
core +1 more source
Molecular Oncology, EarlyView.Breast cancer remains a major cause of cancer death in women, frequently developing endocrine therapy resistance. This study demonstrates that upregulated p21‐activated kinase 1 (PAK1) activity drives resistance to tamoxifen and long‐term estrogen deprivation in ER+ breast cancer models.
Luisa Schwarzmüller +10 more
wiley +1 more source
Vector-valued modular forms and modular tensor categories
, 2017 In my talk i'll explain how to find vector-valued modular forms whose multiplier is the modular data of a modular tensor category, and how that can help us reconstruct a rational vertex operator algebra from that category.Non UBCUnreviewedAuthor ...
Gannon, Terry
core +1 more source
CEACAM1 participation in breast cancer progression
Molecular Oncology, EarlyView.In invasive breast cancer (BC), CEACAM1 shifts from an apical to a uniform membranous/cytoplasmic pattern, or is lost, as tumors dedifferentiate, inversely tracking the Ki‐67 proliferative index. In MCF‐7 cells, only CEACAM1‐4L suppresses proliferation, repressing cell cycle and growth factor genes.
Mykola Lyndin +3 more
wiley +1 more source
On hermitian modular groups and modular forms
, 2019 In this doctoral thesis, we find that for $n=2$, the Hermitian modular group and other subgroups of the unitary group are isomorphic to suitable subgroups of the orthogonal group $O(2,4)$. The proof is completely explicit and we find a closed formula for
Wernz, Annalena
core +2 more sources
Siegel modular forms and black hole entropy
Journal of High Energy Physics, 2017 We discuss the application of Siegel Modular Forms to Black Hole entropy counting. The role of the Igusa cusp form χ 10 in the D1D5P system is well-known, and its transformation properties are what allows precision microstate counting in this case.
Alexandre Belin +3 more
doaj +1 more source