Results 21 to 30 of about 6,242 (64)
Joint Wire Cutting with Non‐Maximally Entangled States
Advanced Quantum Technologies, Volume 8, Issue 5, May 2025.Wire cutting decomposes large quantum circuits into smaller subcircuits by severing connecting wires, enabling execution on multiple distributed devices. This study employs non‐maximally entangled (NME) states in joint wire cuts to reduce their overhead.
Marvin Bechtold +4 more
wiley +1 more source
Arithmetic Satake compactifications and algebraic Drinfeld modular forms
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract In this article, we construct the arithmetic Satake compactification of the Drinfeld moduli schemes of arbitrary rank over the ring of integers of any global function field away from the level structure, and show that the universal family extends uniquely to a generalized Drinfeld module over the compactification.
Urs Hartl, Chia‐Fu Yu
wiley +1 more source
Carlitz operators and higher polylogarithm identities
Proceedings of the London Mathematical Society, Volume 130, Issue 3, March 2025.Abstract We study a higher dimension generalization of Carlitz's polynomials, first introduced by Papanikolas, and compute an ∞$\infty$‐adic limit of a sequence of normalizations, relating it to the exponential function of an Anderson module that we completely describe.
F. Pellarin
wiley +1 more source
Sparsity of stable primes for dynamical sequences
Bulletin of the London Mathematical Society, Volume 57, Issue 1, Page 203-217, January 2025.Abstract We show that a dynamical sequence (fn)n∈N$(f_n)_{n\in \mathbb {N}}$ of polynomials over a number field whose set of stable primes is of positive density must necessarily have a very restricted, and, in particular, virtually prosolvable dynamical Galois group. Together with existing heuristics, our results suggest, moreover, that a polynomial f$
Joachim König
wiley +1 more source
Homogeneous spaces, algebraic $K$-theory and cohomological dimension of fields
, 2019 Let $q$ be a non-negative integer. We prove that a perfect field $K$ has cohomological dimension at most $q+1$ if, and only if, for any finite extension $L$ of $K$ and for any homogeneous space $Z$ under a smooth linear connected algebraic group over $L$,
Arteche, Giancarlo Lucchini +1 more
core
Rational points on 3‐folds with nef anti‐canonical class over finite fields
Proceedings of the London Mathematical Society, Volume 130, Issue 1, January 2025.Abstract We prove that a geometrically integral smooth projective 3‐fold X$X$ with nef anti‐canonical class and negative Kodaira dimension over a finite field Fq$\mathbb {F}_q$ of characteristic p>5$p>5$ and cardinality q=pe>19$q=p^e > 19$ has a rational point.
Fabio Bernasconi, Stefano Filipazzi
wiley +1 more source
Dynamical diophantine approximation exponents in characteristic p$p$
Bulletin of the London Mathematical Society, Volume 56, Issue 12, Page 3801-3818, December 2024.Abstract Let ϕ(z)$\phi (z)$ be a non‐isotrivial rational function in one‐variable with coefficients in F¯p(t)$\overline{\mathbb {F}}_p(t)$ and assume that γ∈P1(F¯p(t))$\gamma \in \mathbb {P}^1(\overline{\mathbb {F}}_p(t))$ is not a post‐critical point for ϕ$\phi$. Then we prove that the diophantine approximation exponent of elements of ϕ−m(γ)$\phi ^{-m}
Wade Hindes
wiley +1 more source
Correspondence theorems in Hopf-Galois theory for separable field extensions
, 2020 La théorie de Galois a eu un impact sur les mathématiques plus important que ce qu'elle laissait présager au départ. Son résultat le plus important est le théorème de correspondance qui s'énonce de la manière suivante :si L/K est une extension de corps finie galoisienne et si G = Gal(L/K) est son groupe de Galois, alors il existe une correspondance ...
openaire +1 more source
Deeply ramified fields, semitame fields, and the classification of defect extensions
, 2018 We study the valuation theory of deeply ramified fields and introduce and investigate several other related classes of valued fields. Further, a classification of defect extensions of prime degree of valued fields that was earlier given only for the ...
Blaszczok, Anna, Kuhlmann, Franz-Viktor
core
Systems of Precision: Coherent Probabilities on Pre-Dynkin Systems and Coherent Previsions on Linear Subspaces. [PDF]
Entropy (Basel), 2023 Derr R, Williamson RC.
europepmc +1 more source