Results 41 to 50 of about 2,582,876 (339)
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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Non-renormalization theorems of Supersymmetric QED in the Wess-Zumino gauge [PDF]
, 2001 The non-renormalization theorem of chiral vertices and the generalized non-renormalization theorem of the photon self energy are derived in SQED on the basis of algebraic renormalization.
Adler +31 more
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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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Infinite-dimensional fermionic symmetry in supersymmetric gauge theories
Journal of High Energy Physics, 2021 We establish the existence of an infinite-dimensional fermionic symmetry in four-dimensional supersymmetric gauge theories by analyzing semiclassical photino dynamics in abelian N $$ \mathcal{N} $$ = 1 theories with charged matter.
Thomas T. Dumitrescu +3 more
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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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Celestial current algebra from Low’s subleading soft theorem [PDF]
Physical Review D, 2019 The leading soft photon theorem implies that four-dimensional scattering amplitudes are controlled by a two-dimensional (2D) $U(1)$ Kac-Moody symmetry that acts on the celestial sphere at null infinity ($\mathcal{I}$).
E. Himwich, A. Strominger
semanticscholar +1 more source
Asymptotic symmetries in (d + 2)-dimensional gauge theories
Journal of High Energy Physics, 2019 We show that the subleading soft photon theorem in a (d + 2)-dimensional massless abelian gauge theory gives rise to a Ward identity corresponding to divergent large gauge transformations acting on the celestial sphere at null infinity.
Temple He, Prahar Mitra
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A FAMILY OF THE ZECKENDORF THEOREM RELATED IDENTITIES [PDF]
International Journal of Apllied Mathematics, 2015 10 ...
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International Journal of Mathematics and Mathematical Sciences, 2001 We prove a combinatorial identity which arose from considering the relation rp(x,y,z)=(x+y−z)p−(xp+yp−zp) in connection with Fermat's last theorem.
Joseph Sinyor +2 more
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Identities Generalizing the Theorems of Pappus and Desargues [PDF]
Symmetry, 2021 The Theorems of Pappus and Desargues (for the projective plane over a field) are generalized here by two identities involving determinants and cross products. These identities are proved to hold in the three-dimensional vector space over a field. They are closely related to the Arguesian identity in lattice theory and to Cayley-Grassmann identities in ...
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