Results 11 to 20 of about 567,713 (175)
A new four parameter q-series identity and its partition implications [PDF]
, 2002 We prove a new four parameter q-hypergeometric series identity from which the three parameter key identity for the Goellnitz theorem due to Alladi, Andrews, and Gordon, follows as a special case by setting one of the parameters equal to 0.
Alladi, Krishnaswami +2 more
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A geometric identity for Pappus' theorem. [PDF]
Proceedings of the National Academy of Sciences, 1994 An expression in the exterior algebra of a Peano space yielding Pappus' theorem was originally given by Doubilet, Rota, and Stein [Doubilet, P., Rota, G.-C. & Stein, J. (1974) Stud. Appl. Math. 8, 185-216]. Motivated by an identity of Rota, I give an identity in a Grassmann-Cayley algebra of step 3, involving joins and meets alone, which expresses ...
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Bounded Approximate Identities in Ternary Banach Algebras
Abstract and Applied Analysis, 2012 Let A be a ternary Banach algebra. We prove that if A has a left-bounded approximating set, then A has a left-bounded approximate identity. Moreover, we show that if A has bounded left and right approximate identities, then A has a bounded approximate ...
Madjid Eshaghi Gordji +2 more
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Loop corrected soft photon theorem as a Ward identity
Journal of High Energy Physics, 2019 Recently Sahoo and Sen obtained a series of remarkable results concerning sub leading soft photon and graviton theorems in four dimensions. Even though the S-matrix is infrared divergent, they have shown that the subleading soft theorems are well ...
Miguel Campiglia, Alok Laddha
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A Hybrid Mean Value Involving Dedekind Sums and the Generalized Kloosterman Sums
Journal of Mathematics, 2021 In this paper, we use the mean value theorem of Dirichlet L-functions and the properties of Gauss sums and Dedekind sums to study the hybrid mean value problem involving Dedekind sums and the general Kloosterman sums and give an interesting identity for ...
Xiaowei Pan, Xiaoyan Guo
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Asymptotic symmetries and subleading soft graviton theorem in higher dimensions
, 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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A generalisation of a partition theorem of Andrews to overpartitions [PDF]
, 2014 In 1969, Andrews proved a theorem on partitions with difference conditions which generalises Schur's celebrated partition identity. In this paper, we generalise Andrews' theorem to overpartitions.
Dousse, Jehanne
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When the Identity Theorem “Seems” to Fail [PDF]
The American Mathematical Monthly, 2014 The authors would like to thank the referees for their insightful comments and remarks, especially for pointing out references [4, 14] and for their help in improving Theorem 2.3. They would also like to thank Profs. Bastin, Esser, and Nikolay for sharing their latest preprint [4].
Conejero Casares, José Alberto +3 more
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Fatou’s identity and Lebesgue’s convergence theorem [PDF]
Proceedings of the American Mathematical Society, 1999 The following two statements are typical results of the paper. Let \(P\) be a probability measure and \((f_n)\) a norm bounded sequence in the positive cone of \(L^1(P)\). (1) If \((f_n)\) converges in measure to \(f_\infty\), then \[ \liminf \int f_n dP= \min\{\eta(\{g_n: n\in\mathbb{N}\}): (g_n)\text{ is a subsequence of }(f_n)\}+ \int f_\infty dP. \]
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A proof of Pollaczek-Spitzer identity
International Journal of Mathematics and Mathematical Sciences, 1990 In this note we derive a proof of Pollaczek-Spitzer identity using a generalization of Takacs ballot theorem.
S. Paramasamy
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