Results 71 to 80 of about 1,167 (194)
Direct sums of bilinear algorithms [PDF]
, 1981 We consider the bilinear complexity of certain sets of bilinear forms. We study a class of direct sums of bilinear forms. For this class of problems we show that the bilinear complexity of one direct sum is the sum of the bilinear complexities of the ...
Winograd, S., Auslander, L., Feig, E.
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Abelian number fields with frobenian conditions
Mathematika, Volume 72, Issue 4, October 2026.Abstract We study the distribution of abelian number fields with frobenian conditions imposed on the conductor. In particular, we find an asymptotic for the number of abelian field extensions of a number field k$k$ whose conductor is the sum of two squares. We also discuss an application of the Brauer group of stacks to quadratic number fields.
Julie Tavernier
wiley +1 more source
Zeros of polynomials in derivatives of automorphic L$L$‐functions
Mathematika, Volume 72, Issue 4, October 2026.Abstract Let Fm$\mathfrak {F}_m$ be the set of all cuspidal automorphic representations of GLm(AQ)$\mathrm{GL}_m(\mathbb {A}_{\mathbb {Q}})$, and let F(s,π)$F(s,\bm {\pi })$ be a polynomial in the derivatives of L$L$‐functions associated with representations π∈⋃m=1∞Fm$\pi \in \bigcup _{m=1}^{\infty } \mathfrak {F}_m$. We establish an asymptotic formula
Anji Dong +2 more
wiley +1 more source
Localization sequences for logarithmic topological cyclic homology
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We introduce the notion of an Ek$\mathbb {E}_k$‐ring with prelogarithmic structure, define logarithmic topological Hochschild homology and logarithmic topological cyclic homology in this context, and establish localization sequences for these theories. Our approach is based on Thom R$R$‐algebras.
John Rognes +2 more
wiley +1 more source
Cancellation and direct summands in dimension 1 [PDF]
, 1991 Let Λ be a module-finite algebra over a commutative noetherian ring of Krull dimension 1. We extend Roiter's direct-summand theorem to arbitrary finitely generated Λ-modules, obtaining a sharpened form of Serre's direct-summand theorem in this setting ...
Levy, Lawrence S, Guralnick, Robert M
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Higher representation stability for ordered configuration spaces
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract Using factorization homology with coefficients in twisted commutative algebras (TCAs), we prove two flavors of higher representation stability for the cohomology of (generalized) configuration spaces of a scheme/topological space X$X$. First, we provide an iterative procedure to study higher representation stability using actions coming from ...
Quoc P. Ho
wiley +1 more source
Multiplicative complexity of direct sums of quadratic systems [PDF]
, 1995 We consider the quadratic complexity of certain sets of quadratic forms. We study classes of direct sums of quadratic forms. For these classes of problems we show that the complexity of one direct sum is the sum of the complexities of the summands and ...
Nader H. Bshouty, Bshouty, Nader H.
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The Huang–Yang Formula for the Low‐Density Fermi Gas: Upper Bound
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1919-1972, August 2026.ABSTRACT We study the ground state energy of a gas of spin 1/2$1/2$ fermions with repulsive short‐range interactions. We derive an upper bound that agrees, at low density ϱ$\varrho$, with the Huang–Yang conjecture. The latter captures the first three terms in an asymptotic low‐density expansion, and in particular the Huang–Yang correction term of order
Emanuela L. Giacomelli +3 more
wiley +1 more source
Weak abelian direct summands and irreducibility of Galois representations [PDF]
Let $\rho_\ell$ be a semisimple $\ell$-adic representation of a number field $K$ that is unramified almost everywhere. We introduce a new notion called weak abelian direct summands of $\rho_\ell$ and completely characterize them, for example, if the ...
Böckle, Gebhard, Hui, Chun-Yin
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Selforthogonal modules without obvious direct summands [PDF]
, 2007 We describe a sufficient condition which explains the aboundance of many rather small, and not necessarily faithful, selforthogonal modules M with the following properties: (1)The projective (resp. injective) dimension of M is finite and bigger than 1
G. D'Este
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