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Modular Short Form Videos for Library Instruction
In the Library with the Lead Pipe, 2017 In Brief Expensive software isn’t necessary to create effective tutorials. Quick, unedited tutorials created on social media, such as on Instagram or Snapchat, may be more effective.
Cindy Craig
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American 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,
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MAGNETIC (QUASI-)MODULAR FORMS
Nagoya 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
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Molecular 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
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Molecular Oncology, EarlyView.Non‐small cell lung cancer targeted treatment is limited to a few known genetic alterations, with few alternatives in advanced treatment lines. To direct treatment decisions by drug sensitivity testing (DST), this study compared several methods for tumor cell isolation from malignant effusions, pointing to repeated CD45+ cell depletion for effective ...
Navit Mooshayef +10 more
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The Generalized Eta Transformation Formulas as the Hecke Modular Relation
AxiomsThe transformation formula under the action of a general linear fractional transformation for a generalized Dedekind eta function has been the subject of intensive study since the works of Rademacher, Dieter, Meyer, and Schoenberg et al.
Nianliang Wang +2 more
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Архитектон, 2022 The article discusses the laws of ergonomics, anthropometry, 3D model form building and its adaptation in an urban environment. An overview of design concepts is given, and current methodological limitations and challenges of modular street furniture ...
Tikunova Svetlana V. +2 more
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, 2021 We examine several currently used techniques for visualizing complex-valued functions applied to modular forms. We plot several examples and study the benefits and limitations of each technique. We then introduce a method of visualization that can take advantage of colormaps in Python's matplotlib library, describe an implementation, and give more ...
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On a q-deformation of modular forms [PDF]
Journal of Mathematical Analysis and Applications, 2019 There are many instances known when the Fourier coefficients of modular forms are congruent to partial sums of hypergeometric series. In our previous work arXiv:1803.01830, such partial sums are related to the radial asymptotics of infinite $q$-hypergeometric sums at roots of unity.
Victor J.W. Guo, Wadim Zudilin
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On equivariant topological modular forms
Compositio Mathematica, 2023 Following ideas of Lurie, we give a general construction of equivariant elliptic cohomology without restriction to characteristic zero. Specializing to the universal elliptic curve we obtain, in particular, equivariant spectra of topological modular forms. We compute the fixed points of these spectra for the circle group and more generally for tori.
Gepner, David, Meier, Lennart
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