Results 61 to 70 of about 198,617 (274)
Some congruences for 3-component multipartitions
Open Mathematics, 2016 Let p3(n) denote the number of 3-component multipartitions of n. Recently, using a 3-dissection formula for the generating function of p3(n), Baruah and Ojah proved that for n ≥ 0, p3(9n + 5) ≡ 0 (mod 33) and p3 (9n + 8) ≡ 0 (mod 34).
Zhao Tao Yan, Jin Lily J., Gu C.
doaj +1 more source
Karpatsʹkì Matematičnì Publìkacìï, 2023 Exact order estimates for some characteristics of linear and nonlinear approximation of the isotropic Nikol'skii-Besov classes $\mathbf{B}^r_{p,\theta}$ of periodic multivariate functions in the spaces $B_{q,1}$, $1\leq q \leq \infty$, are obtained ...
A.S. Romanyuk +3 more
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On the dual nature of partial theta functions and Appell-Lerch sums
, 2014 In recent work, Hickerson and the author demonstrated that it is useful to think of Appell--Lerch sums as partial theta functions. This notion can be used to relate identities involving partial theta functions with identities involving Appell--Lerch sums.
Andrews +28 more
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A Workflow to Accelerate Microstructure‐Sensitive Fatigue Life Predictions
Advanced Engineering Materials, EarlyView.This study introduces a workflow to accelerate predictions of microstructure‐sensitive fatigue life. Results from frameworks with varying levels of simplification are benchmarked against published reference results. The analysis reveals a trade‐off between accuracy and model complexity, offering researchers a practical guide for selecting the optimal ...
Luca Loiodice +2 more
wiley +1 more source
On certain relations among the generating functions for certain quadratic forms [PDF]
Notes on Number Theory and Discrete MathematicsThe object of this article is to establish the relation between the generating function of the quadratic form 2m²+2mn+3n² and the generating functions for the quadratic forms m²+mn+n², m²+mn+2n², m²+mn+4n² and 2m²+mn+2n².
K. R. Vasuki, P. Nagendra
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Vacuum structure of Yang-Mills theory as a function of $\theta$
, 2018 It is believed that in $SU(N)$ Yang-Mills theory observables are $N$-branched functions of the topological $\theta$ angle. This is supposed to be due to the existence of a set of locally-stable candidate vacua, which compete for global stability as a ...
Aitken, Kyle +2 more
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Advanced Engineering Materials, EarlyView.This study examines how several molten high‐silicon electrical steels interact with both conventional and recycled MgO–C refractories. For this, various immersion experiments are conducted. In addition to infiltration, a number of mechanisms are identified and explained that control the corrosion of the refractory material.
Lukas Neubert +7 more
wiley +1 more source
Theta function identities involving fourth power [PDF]
Notes on Number Theory and Discrete MathematicsOn page 241 of his Second Notebook, Ramanujan recorded one of his theta function identity, which involves the ratio of the fourth power of theta functions with respect to ψ(q). In this article, we give a new proof for this theta function identity.
Praveenkumar, Siddaraju, R. Rangarajan
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Differential equations for septic theta functions
, 2013 We demonstrate that quotients of septic theta functions appearing in S. Ramanujan's Notebooks and in F. Klein's work satisfy a new coupled system of nonlinear differential equations with interesting symmetric form.
Huber, Tim, Lara, Danny
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Advanced Engineering Materials, EarlyView.High‐temperature interactions between low‐sulfur Al‐killed Mn–B steel and MgO–C refractories (0 and 50 wt% recyclates) are studied via finger immersion tests (1600 °C). Surface‐active elements influence infiltration. MgO/CaS layer forms, along with spinel and calcium silicate.
Matheus Roberto Bellé +5 more
wiley +1 more source