Results 1 to 10 of about 1,658 (186)
copick: An open dataset interface and toolkit for collaborative annotation and analysis of cryo-electron tomography data. [PDF]
Protein SciAbstract Cryo‐electron tomography (cryoET) enables visualization of macromolecular complexes within intact cellular environments. Continued improvements in instrumentation, sample preparation, and data‐processing pipelines have increased both the scale and the complexity of cryoET datasets, making manual analysis challenging.
Ermel UH +9 more
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Some Eisenstein Series Identities
Journal of Number Theory, 2000 In this paper, the author derives new proofs of Eisenstein series identities associated with the Borweins functions \(a(q)\), \(b(q)\) and \(c(q)\), defined by \[ \begin{aligned} a(q) &= \sum_{m,n=-\infty}^\infty q^{m^2+mn+n^2},\\ b(q) &= \sum_{m,n=-\infty}^\infty e^{2(m-n)\pi i/3}q^{m^2+mn+n^2},\\ \text{and} c(q) &=\sum_{m,n=-\infty}^\infty q^{(m+1/3)^
Zhi-Guo Liu
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Poincaré series for modular graph forms at depth two. Part II. Iterated integrals of cusp forms
Journal of High Energy Physics, 2022 We continue the analysis of modular invariant functions, subject to inhomogeneous Laplace eigenvalue equations, that were determined in terms of Poincaré series in a companion paper. The source term of the Laplace equation is a product of (derivatives of)
Daniele Dorigoni +2 more
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Poincaré series for modular graph forms at depth two. Part I. Seeds and Laplace systems
Journal of High Energy Physics, 2022 We derive new Poincaré-series representations for infinite families of non-holomorphic modular invariant functions that include modular graph forms as they appear in the low-energy expansion of closed-string scattering amplitudes at genus one.
Daniele Dorigoni +2 more
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Cusps, Kleinian groups, and Eisenstein series
Forum of Mathematics, Sigma, 2023 We study the Eisenstein series associated to the full rank cusps in a complete hyperbolic manifold. We show that given a Kleinian group $\Gamma
Beibei Liu, Shi Wang
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Elliptic modular graph forms. Part I. Identities and generating series
Journal of High Energy Physics, 2021 Elliptic modular graph functions and forms (eMGFs) are defined for arbitrary graphs as natural generalizations of modular graph functions and forms obtained by including the character of an Abelian group in their Kronecker-Eisenstein series. The simplest
Eric D’Hoker +2 more
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Notes on massless scalar field partition functions, modular invariance and Eisenstein series
Journal of High Energy Physics, 2021 The partition function of a massless scalar field on a Euclidean spacetime manifold ℝ d−1 × 𝕋2 and with momentum operator in the compact spatial dimension coupled through a purely imaginary chemical potential is computed.
Francesco Alessio +2 more
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Lotman about Eisenstein: Context Reconstruction [PDF]
Литературный факт, 2023 Ethics played an important role for Yu.M. Lotman when he judged some phenomenon of art or the personality of the creator. He thought filmmaker S.M. Eisenstein was a brilliant avant-garde artist, though indifferent to moral issues, and therefore condemned
Tatyana D. Kuzovkina
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A CLASS OF NONHOLOMORPHIC MODULAR FORMS II: EQUIVARIANT ITERATED EISENSTEIN INTEGRALS
Forum of Mathematics, Sigma, 2020 We introduce a new family of real-analytic modular forms on the upper-half plane. They are arguably the simplest class of ‘mixed’ versions of modular forms of level one and are constructed out of real and imaginary parts of iterated integrals of ...
FRANCIS BROWN
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EISENSTEIN–KRONECKER SERIES VIA THE POINCARÉ BUNDLE
Forum of Mathematics, Sigma, 2019 A classical construction of Katz gives a purely algebraic construction of Eisenstein–Kronecker series using the Gauß–Manin connection on the universal elliptic curve. This approach gives a systematic way to study algebraic and $p$-adic properties of real-
JOHANNES SPRANG
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