Results 11 to 20 of about 2,582,876 (339)
A Shuffle Theorem for Paths Under Any Line [PDF]
Forum of Mathematics, Pi, 2023 We generalize the shuffle theorem and its $(km,kn)$ version, as conjectured by Haglund et al. and Bergeron et al. and proven by Carlsson and Mellit, and Mellit, respectively. In our version the $(km,kn)$ Dyck paths on the combinatorial side
Jonah Blasiak +4 more
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A Lyndon’s identity theorem for one-relator monoids [PDF]
Selecta Mathematica, 2022 AbstractFor every one-relator monoid $$M = \langle A \mid u=v \rangle $$ M = ⟨ A ∣ u = v ⟩ with $$u, v \in A^*$$
Gray, Robert D., Steinberg, Benjamin
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A Partition Identity Related to Stanley’s Theorem [PDF]
The American Mathematical Monthly, 2018 In this paper, we use the Lambert series generating function for Euler's totient function to introduce a new identity for the number of $1$'s in the partitions of $n$. A new expansion for Euler's partition function $p(n)$ is derived in this context. These surprising new results connect the famous classical totient function from multiplicative number ...
Mircea Merca, Maxie D. Schmidt
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Identity Theorem for Pro-p-groups [PDF]
Knots, Low-Dimensional Topology and Applications, 2019 We prove the Identity Theorem for pro-$p$-groups with a single defining relation giving a positive feedback to a question of Serre on the structure of relation modules. A construction of "conjurings" indicates finality of our result in a certain sense.
A. Mikhovich
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The Kawasaki identity and the Fluctuation Theorem [PDF]
The Journal of Chemical Physics, 2004 In this paper we show that the Fluctuation Theorem of Evans and Searles [D. J. Evans, D. J. Searles, Phys. Rev. E 50, 1645 (1994)] implies that the Kawasaki function 〈exp(−Ωt)〉 is unity for all time t. We confirm this relationship using experimental data obtained using optical tweezers, and show that the Kawasaki function is a valuable diagnostic tool.
Carberry, D. M. +4 more
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Asymptotic symmetries and subleading soft graviton theorem in higher dimensions [PDF]
Physical Review D, 2020 We investigate the relation between the subleading soft graviton theorem and asymptotic symmetries in gravity in even dimensions higher than four. After rewriting the subleading soft graviton theorem as a Ward identity, we argue that the charges of such ...
Colferai, Dimitri, Lionetti, Stefano
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Sub-subleading soft graviton theorem from asymptotic Einstein’s equations [PDF]
Journal of High Energy Physics, 2022 We identify in Einstein gravity an asymptotic spin-2 charge aspect whose conservation equation gives rise, after quantization, to the sub-subleading soft theorem.
Laurent Freidel +2 more
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On an Identity Theorem in the Nevanlinna Class N
Journal of Approximation Theory, 1994 AbstractWe prove the following theorem: Let ƒ be in the Nevanlinna class N, and let zn be distinct points in the unit disk D with Σ∞n=1 (1 - |zn|) = ∞. Further let λn > 0, λn → ∞ as n → ∞ and ϵn > 0, Σ∞n=1 ϵn < ∞. If [formula] where [formula] then ƒ ≡ 0.
N. Danikas
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Identity Theorem in Complex Analysis [PDF]
Journal of Scientific Research, 2021 : Let D be an open connected domain in a set of complex number ℂ . Let 𝛗 be an analytic complex valued function on open connected domain D. In this paper we are going to accommodate “Identity Theorem” for complex valued function.
Pintoo R. Jaiswar
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Differential identities, Lie ideals, and Posner’s theorems [PDF]
Pacific Journal of Mathematics, 1988 This paper uses the theory of differential identities to obtain generalizations of two well-known results of \textit{E. C. Posner} [Proc. Am. Math. Soc. 8, 1093--1100 (1958; Zbl 0082.03003)]. A number of such generalizations appear in the literature and the purpose here is to give a uniform treatment which yields essentially all of these, and gives new
Charles Lanski
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