Results 11 to 20 of about 2,640,083 (343)
Identity Theorem for Pro-p-groups [PDF]
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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Identity Theorem in Complex Analysis
: 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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A Partition Identity Related to Stanley’s Theorem [PDF]
In this note, 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.
M. Merca, M. Schmidt
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A theorem on polynomial identities [PDF]
Jakob Levitzki
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A Theorem on the Annamalai’s Binomial Identities
This paper presents an algorithmic technique to establish a theorem on the Annamalai’s binomial identities. The binomial theorem and its computing technique refer to a sort of methodological advances that is useful for researchers working in computation, science, engineering, and management.
Chinnaraji Annamalai
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When the Identity Theorem “Seems” to Fail [PDF]
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].
J. Conejero +3 more
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Fatou’s identity and Lebesgue’s convergence theorem [PDF]
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 \[ \liminf \int f_n dP= \min\{\eta(\{g_n: n\in\mathbb{N}\}): (g_n)\text{ is a subsequence of }(f_n)\}+ \int f_\infty dP. \]
Heinz-Albrecht Klei
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Scaling identities for solitons beyond Derrick’s theorem [PDF]
New integral identities satisfied by topological solitons in a range of classical field theories are presented. They are derived by considering independent length rescalings in orthogonal directions, or equivalently, from the conservation of the stress tensor. These identities are refinements of Derrick’s theorem.
N. S. Manton
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Recurrence relations connecting mock theta functions and restricted partition functions [PDF]
In this paper, we provide some recurrence relations connecting restricted partition functions and mock theta functions. Elementary manipulations are used including Jacobi triple product identity, Euler's pentagonal number theorem, and Ramanujan's theta ...
M. Rana, H. Kaur, K. Garg
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New magnetic symmetries in (d + 2)-dimensional QED
Previous analyses of asymptotic symmetries in QED have shown that the subleading soft photon theorem implies a Ward identity corresponding to a charge generating divergent large gauge transformations on the asymptotic states at null infinity.
Temple He, Prahar Mitra
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