Results 21 to 30 of about 3,074,877 (302)
Modular graph functions and odd cuspidal functions. Fourier and Poincaré series
Journal of High Energy Physics, 2019 Modular graph functions are SL(2, ℤ)-invariant functions associated with Feynman graphs of a two-dimensional conformal field theory on a torus of modulus τ. For one-loop graphs they reduce to real analytic Eisenstein series. We obtain the Fourier series,
Eric D’Hoker, Justin Kaidi
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Mathieu moonshine and Siegel Modular Forms
Journal of High Energy Physics, 2021 A second-quantized version of Mathieu moonshine leads to product formulae for functions that are potentially genus-two Siegel Modular Forms analogous to the Igusa Cusp Form. The modularity of these functions do not follow in an obvious manner.
Suresh Govindarajan, Sutapa Samanta
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On modular functions in characteristic 𝑝 [PDF]
Transactions of the American Mathematical Society, 1978 Let k =
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Modular Approach to the Functionalization of Polymersomes [PDF]
Biomacromolecules, 2020 Functionalizing polymersomes remains a challenge due to the limitation in reaction conditions applicable to the chemistry on the surface, hindering their application for selective targeting. In order to overcome this limitation, functionalization can be introduced right before the self-assembly.
Sjoerd J. Rijpkema +5 more
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Osaka Journal of Mathematics, 1997 A version of the Shimura reciprocity theorem in the context of Drinfel'd modules is proved.
Lee, Seungjae, Bae, Sunghan
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On the Zeros of a Class of Modular Functions [PDF]
Annals of Combinatorics, 2019 We generalize a number of works on the zeros of certain level 1 modular forms to a class of weakly holomorphic modular functions whose $q$-expansions satisfy \[ f_k(A, τ) \colon = q^{-k}(1+a(1)q+a(2)q^2+...) + O(q),\] where $a(n)$ are numbers satisfying a certain analytic condition.
Sweeting, Naomi, Woo, Katharine
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Minimal Polynomials of Some Eta-Quotients Evaluated at CM Points
MathematicsWe study certain eta-quotients of weight zero evaluated at CM points of imaginary quadratic orders. Using the theory of extended form class groups, we show that these special values generate the corresponding ring class fields and we provide explicit ...
Ho Yun Jung
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Modular Functional Descriptions
Electronic Notes in Theoretical Computer Science, 2008 AbstractThe construction of reactive systems often requires the combination of different individual functionalities, thus leading to a complex overall behavior. To achieve an efficient construction of reliable systems, a structured approach to the definition of the behavior is needed. Here, functional modularization supports a separation of the overall
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A modular foreign function interface [PDF]
Science of Computer Programming, 2018 Foreign function interfaces are typically organised monolithically, tying together the $\textit{specification}$ of each foreign function with the $\textit{mechanism }$ used to make the function available in the host language. This leads to inflexible systems, where switching from one binding mechanism to another (say from dynamic binding to static code
Jeremy Yallop +2 more
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Reconstructing enzyme evolution by protein engineering
FEBS Letters, EarlyView.Natural enzyme evolution can be retraced by protein engineering methods such as directed evolution, rational design, and ancestral sequence reconstruction. These approaches reveal how enzymes emerged from ligand‐binding scaffolds, developed varying substrate preferences, formed oligomeric complexes, adapted to environmental changes, and evolved novel ...
Lukas Drexler +2 more
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