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A Projective Twist on the Hasse Norm Theorem

Autor: Rüd, Thomas, Bu, Alan

A finite extension of global fields $L/K$ satisfies the Hasse norm principle if any nonzero element of $K$ has the property that it is a norm locally if and only if it is a norm globally. In 1931, Hasse proved that any cyclic extension satisfies the

Externí odkaz: http://arxiv.org/abs/2410.11159

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Akademický článek

Synergistic effect of UV-A and UV-C light is traced to UV-induced damage of the transfer RNA

Autor: Probst-Rüd, Sandra, Nyangaresi, Paul Onkundi, Adeyeye, Adefolawe A., Ackermann, Martin, Beck, Sara E., McNeill, Kristopher

Publikováno v: In Water Research 15 March 2024 252

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Explicit Tamagawa numbers for certain algebraic tori over number fields

Autor: Rüd, Thomas

Given a number field extension $K/k$ with an intermediate field $K^+$ fixed by a central element of the corresponding Galois group of prime order $p$, we build an algebraic torus over $k$ whose rational points are elements of $K^\times$ sent to $k^\t

Externí odkaz: http://arxiv.org/abs/2009.04431

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Counting abelian varieties over finite fields via Frobenius densities

Autor: Achter, Jeff, Altug, Salim Ali, Garcia, Luis, Gordon, Julia, Li, Wen-Wei, Rüd, Thomas

Publikováno v: Alg. Number Th. 17 (2023) 1239-1280

Let $[X,\lambda]$ be a principally polarized abelian variety over a finite field with commutative endomorphism ring; further suppose that either $X$ is ordinary or the field is prime. Motivated by an equidistribution heuristic, we introduce a factor

Externí odkaz: http://arxiv.org/abs/1905.11603

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On Uniform Admissibility of Unitary and Smooth Representations

Autor: First, Uriya A., Rüd, Thomas

Let $G$ be a locally compact totally disconnected topological group. Under a necessary mild assumption, we show that the irreducible unitary representations of $G$ are uniformly admissible if and only if the irreducible smooth representations of $G$

Externí odkaz: http://arxiv.org/abs/1801.08719

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