Results 41 to 50 of about 53,389 (317)

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

open access: yesSciPost 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

Examples of modular forms

open access: yesJournal of Mathematical Analysis and Applications, 1974
The Fourier coefficients of certain automorphic forms are evaluated using a tensor product construction appearing in a formal proof of the Ramanujan hypothesis [ 11. Let r be the set of two-by-two matrices with integer entries and positive determinant. The modular group is the set of elements of I’ of determinant one. A subgroup of the modular group is
openaire   +2 more sources

Chemoresistome mapping in individual breast cancer patients unravels diversity in dynamic transcriptional adaptation

open access: yesMolecular Oncology, EarlyView.
This study used longitudinal transcriptomics and gene‐pattern classification to uncover patient‐specific mechanisms of chemotherapy resistance in breast cancer. Findings reveal preexisting drug‐tolerant states in primary tumors and diverse gene rewiring patterns across patients, converging on a few dysregulated functional modules. Despite receiving the
Maya Dadiani   +14 more
wiley   +1 more source

Landscape of BRAF transcript variants in human cancer

open access: yesMolecular Oncology, EarlyView.
We investigate the annotation of BRAF variants, focusing on protein‐coding BRAF‐220 (formerly BRAF‐reference) and BRAF‐204 (BRAF‐X1). The IsoWorm pipeline allows us to quantify these variants in human cancer, starting from RNA‐sequencing data. BRAF‐204 is more abundant than BRAF‐220 and impacts patient survival.
Maurizio S. Podda   +5 more
wiley   +1 more source

3d modularity

open access: yesJournal 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   +4 more
doaj   +1 more source

D 4 modular forms [PDF]

open access: yesAmerican Journal of Mathematics, 2006
In this paper, we study modular forms on two simply connected groups of type D 4 over Q. One group, G s , is a globally split group of type D 4 , viewed as the group of isotopies of the split rational octonions. The other, G c , is the isotopy group of the rational (nonsplit) octonions. We study automorphic forms on G s in analogy to the work of Gross,
openaire   +2 more sources

MAGNETIC (QUASI-)MODULAR FORMS

open access: yesNagoya Mathematical Journal, 2022
AbstractA (folklore?) conjecture states that no holomorphic modular form $F(\tau )=\sum _{n=1}^{\infty } a_nq^n\in q\mathbb Z[[q]]$ exists, where $q=e^{2\pi i\tau }$ , such that its anti-derivative $\sum _{n=1}^{\infty } a_nq^n/n$ has integral coefficients in the q-expansion.
VICENŢIU PAŞOL, WADIM ZUDILIN
openaire   +4 more sources

Systematic profiling of cancer‐fibroblast interactions reveals drug combinations in ovarian cancer

open access: yesMolecular Oncology, EarlyView.
Fibroblasts, cells in the tumor environment, support ovarian cancer cell growth and alter morphology and drug response. We used fibroblast and cancer cell co‐culture models to test 528 drugs and discovered new drugs for combination treatment. We showed that adding Vorinostat or Birinapant to standard chemotherapy may improve drug response, suggesting ...
Greta Gudoityte   +10 more
wiley   +1 more source

A DIA‐MS‐based proteomics approach to find potential serum prognostic biomarkers in glioblastoma patients

open access: yesMolecular Oncology, EarlyView.
A DIA‐MS‐based proteomics analysis of serum samples from GB patients and healthy controls showed that high levels of IL1R2 and low levels of CRTAC1 and HRG in serum are associated with poor survival outcomes for GB patients. These circulating proteins could serve as biomarkers for the prediction of outcome in patients with GB.
Anne Clavreul   +11 more
wiley   +1 more source

On the arithmetic nature of coefficients of multiplicative eta-functions

open access: yesВестник 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

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