Results 131 to 140 of about 10,606 (255)

Modular Invariance and Anomaly Cancellation Formulas for Fiber Bundles

open access: yesAxioms
By combining modular invariance of characteristic forms and the family index theory, we obtain some new anomaly cancellation formulas for any dimension under the not top degree component.
Jianyun Guan, Haiming Liu
doaj   +1 more source

THE IWASAWA MAIN CONJECTURE FOR HILBERT MODULAR FORMS

open access: yesForum of Mathematics, Sigma, 2015
Following the ideas and methods of a recent work of Skinner and Urban, we prove the one divisibility of the Iwasawa main conjecture for nearly ordinary Hilbert modular forms under certain local hypotheses.
XIN WAN
doaj   +1 more source

RNA Sequencing Resolves Cryptic Pathogenic Variants in Mitochondrial Disease

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Mitochondrial diseases are the most common inherited metabolic disorders, characterized by pronounced clinical and genetic heterogeneity that complicates molecular diagnosis. Although DNA‐based sequencing approaches have become standard in genetic testing, up to half of patients remain without a definitive diagnosis.
Zhimei Liu   +21 more
wiley   +1 more source

Modular Forms and Functions

open access: yes, 1977
This book provides an introduction to the theory of elliptic modular functions and forms, a subject of increasing interest because of its connexions with the theory of elliptic curves.
Robert A. Rankin
core   +1 more source

Classical and overconvergent modular forms [PDF]

open access: yes, 1995
The purpose of this article is to use rigid analysis to clarify the relation be-tween classical modular forms and Katz’s overconvergent forms. In particular, we prove a conjecture of Gouvêa [G, Conj.
Coleman, Robert F., Robert F. Coleman
core   +1 more source

Comparing the Effect of Semi‐Immersive Virtual Reality, Computerized Cognitive Training, and Traditional Rehabilitation on Cognitive Function in Multiple Sclerosis: A Randomized Clinical Trial

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Cognitive impairment is a common non‐motor symptom in Multiple Sclerosis (MS), negatively affecting autonomy and Quality of Life (QoL). Innovative rehabilitation strategies, such as semi‐immersive virtual reality (VR) and computerized cognitive training (CCT), may offer advantages over traditional cognitive rehabilitation (TCR ...
Maria Grazia Maggio   +8 more
wiley   +1 more source

Regularized Petersson inner products for meromorphic modular forms

open access: yes, 2016
We investigate the history of inner products within the theory of modular forms. We first give the history of the applications of Petersson's original definition for the inner product of $S_{2k}$ and then recall Zagier's extension to a non-degenerate ...
Kane, BR
core  

On the Fourier expansions of Jacobi forms

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
We use the relationship between Jacobi forms and vector-valued modular forms to study the Fourier expansions of Jacobi forms of indexes p, p2, and pq for distinct odd primes p, q.
Howard Skogman
doaj   +1 more source

Uncovering G Protein‐Coupled Receptors: Novel Targets and Biomarkers for Predicting Glioma Prognosis

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Low‐grade gliomas (LGG) exhibit significant heterogeneity and recurrence risk. G protein‐coupled receptors (GPCR) contribute to glioma malignant progression, but their prognostic value remains unclear. This work attempts to formulate a GPCR‐based outcome‐predicting model for LGG. Methods Based on TCGA LGG data, the enrichment scores
Jun Yang   +4 more
wiley   +1 more source

Computing Hilbert modular forms as orthogonal modular forms

open access: yes
31 ...
Hein, Jeffery   +2 more
openaire   +2 more sources

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