Results 21 to 30 of about 2,582,876 (339)
A Quartic Key Identity for a Partition Theorem of Göllnitz
Journal of Number Theory, 1999 In a previous paper, the authors and a third collaborator generalized and refined Göllnitz's well-known partition theorem by means of a rather complicated key identity with three indices of summation. In this paper, they use \(q\)-series to prove a related identity with four indices of summation. They also show that Schur's celebrated partition theorem
Department of Mathematics, University of Florida, Gainesville, Florida ( host institution ) +2 more
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The tri-pentagonal number theorem and related identities [PDF]
International Journal of Number Theory, 2008 I revisit an automated proof of Andrews' pentagonal number theorem found by Riese. I uncover a simple polynomial identity hidden behind his proof. I explain how to use this identity to prove Andrews' result along with a variety of new formulas of similar type.
Alexander Bérkovich
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Asgeirsson's Mean Value Theorem and Related Identities
Journal of Functional Analysis, 2001 \textit{L. Schwartz} observed the equivalence of the mean value property of a harmonic function, i.e. \[ f_R\ast u=0\text{ for } u \text{ with } \Delta_xu=0,\;f_R=2R\delta\bigl(|x|^2-R^2\bigr)-R^{n-1}\omega_n\delta, \] with the (unique) existence of a distribution \(\mu_R\) with compact support such that \(\Delta_x\mu_R=f_R.\) Explicitly, \(\mu_R=\text{
Lars Hörmander
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An Identity-Based Anti-Quantum Privacy-Preserving Blind Authentication in Wireless Sensor Networks
Sensors, 2018 With the development of wireless sensor networks, IoT devices are crucial for the Smart City; these devices change people’s lives such as e-payment and e-voting systems. However, in these two systems, the state-of-art authentication protocols based
Hongfei Zhu +5 more
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A generalization of Ostrowski’s theorem on matric identities [PDF]
Bulletin of the American Mathematical Society, 1940 Neal H. McCoy
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The identity theorem for analytic functions
Journal of Mathematical Analysis and Applications, 1974 A. Abian
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The Unitary Master Ward Identity: Time Slice Axiom, Noether’s Theorem and Anomalies [PDF]
Annales de l'Institute Henri Poincare. Physique theorique, 2021 The C*-algebraic formulation of generic interacting quantum field theories, recently presented by Detlev Buchholz and one of the authors (KF), is enriched by a unitary version of the Master Ward Identity, which was postulated some time ago by Franz Marc ...
R. Brunetti +3 more
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Recurrence relations connecting mock theta functions and restricted partition functions [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 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
Journal of High Energy Physics, 2021 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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Covariant phase space and soft factorization in non-Abelian gauge theories
Journal of High Energy Physics, 2021 We perform a careful study of the infrared sector of massless non-abelian gauge theories in four-dimensional Minkowski spacetime using the covariant phase space formalism, taking into account the boundary contributions arising from the gauge sector of ...
Temple He, Prahar Mitra
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