Results 61 to 70 of about 562 (207)
Shuffle algebra and polylogarithms
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Vincel Hoang Ngoc Minh +2 more
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Descent for l-Adic Polylogarithms [PDF]
AbstractLet L be a finite Galois extension of a number field K. Let G:= Gal(L/K). Let z1,…, zN ∊ L* \ {1} and let m1 …, mN ∊ ℚl. Let us assume that the linear combination of l-adic polylogarithms (constructed in some given way) is a cocycle on GL and that the formal sum is G-invariant. Then we show that cn determines a unique cocycle sn on GK.
Douai, Jean-Claude +1 more
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Schematic illustration of ferroelectric‐intercalation‐driven transitions in magnetic configurations and magnonic topological phases, together with the symmetry relations of magnonic Berry curvature. ABSTRACT Magnons in collinear magnets with vanishing net magnetization offer unique advantages for spin transport, including ultrafast dynamics and ...
Yingxi Bai +8 more
wiley +1 more source
Holographic correlators with multi-particle states
We derive the connected tree-level part of 4-point holographic correlators in AdS3 × S 3 × M $$ \mathcal{M} $$ (where M $$ \mathcal{M} $$ is T 4 or K3) involving two multi-trace and two single-trace operators.
Nejc Čeplak +3 more
doaj +1 more source
Stacking‐Engineered Magnonic Topology and Transport in Honeycomb Homobilayers
ABSTRACT Topological magnons have emerged as a promising platform for dissipationless bosonic transport. However, a straightforward and effective strategy to engineer such topological states in real materials has yet to be fully realized. Here, a general scheme for controlling magnonic topological states via stacking engineering in van der Waals ...
Xiaoran Feng +6 more
wiley +1 more source
Integration in terms of polylogarithm
This paper provides a Liouville principle for integration in terms of dilogarithm and partial result for polylogarithm.
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Finite‐Horizon Behavior of the Periodically Observed Time‐Homogeneous Poisson Process
ABSTRACT When evaluating whether system arrivals can be characterized as a Poisson process, researchers draw conclusions from observed data. In practice, many systems are observed periodically (e.g., hourly, daily, monthly), which leads to discretization errors in the observed data.
Zachary T. Hornberger +2 more
wiley +1 more source
Remarks on an Identity of Anastase and Díaz-Barrero
We extend an algebraic identity of Anastase and Díaz-Barrero (2022) and apply our results to deduce various formulas for sums and series involving (among others) Fibonacci and Lucas numbers, Bernoulli polynomials, and the Riemann zeta function.
Horst Alzer, Robert Frontczak
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Some identities and reciprocity relationsof unipoly-Dedekind type DC sums
Dedekind type DC sums and their generalizations are defined in terms of Euler functions and their generalization. Recently, Ma et al. (Adv. Differ. Equ. 2021:30 2021) introduced the poly-Dedekind type DC sums by replacing the Euler function appearing in ...
Hye Kyung Kim, Dae Sik Lee
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Determination of the Optimal Window Size for the Spatial XOR Filter
ABSTRACT Introduction An XOR filter is a probabilistic data structure representing a set of keys for membership queries. Given a set X⊂𝒰 of n$$ n $$ keys, and hash functions h1,…,hk:𝒰→{1,…,m}, the filter relies on filling in an array H[1,…,m]$$ H\left[1,\dots, m\right] $$ such that, for all x∈X$$ x\in X $$, h1(x)⊕⋯⊕hk(x)$$ {h}_1(x)\oplus \cdots \oplus {
Paulo Diogo Rodrigues Leão +2 more
wiley +1 more source

