Bounded gaps between primes in number fields and function fields [PDF]
, 2014 The Hardy--Littlewood prime $k$-tuples conjecture has long been thought to be completely unapproachable with current methods. While this sadly remains true, startling breakthroughs of Zhang, Maynard, and Tao have nevertheless made significant progress ...
Castillo, Abel +4 more
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On the section conjecture over function fields and finitely generated fields [PDF]
, 2016 We investigate sections of arithmetic fundamental groups of hyperbolic curves over function fields. As a consequence we prove that the anabelian section conjecture of Grothendieck holds over all finitely generated fields over $\Bbb Q$ if it holds over ...
Saidi, Mohamed
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Testing the Beta-Lognormal Model in Amazonian Rainfall Fields Using the Generalized Space q-Entropy
Entropy, 2017 We study spatial scaling and complexity properties of Amazonian radar rainfall fields using the Beta-Lognormal Model (BL-Model) with the aim to characterize and model the process at a broad range of spatial scales.
Hernán D. Salas +2 more
doaj +1 more source
Admissible constants for genus 2 curves [PDF]
, 2009 S.-W. Zhang recently introduced a new adelic invariant for curves of genus at least 2 over number fields and function fields.
de Jong, Robin
core +3 more sources
Levels of Function Fields of Surfaces over Number Fields
Journal of Algebra, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jannsen, U., Sujatha, R.
openaire +2 more sources
Holographic topological defects in a ring: role of diverse boundary conditions
Journal of High Energy Physics, 2022 We investigate the formation of topological defects in the course of a dynamical phase transition with different boundary conditions in a ring from AdS/CFT correspondence.
Zhi-Hong Li +2 more
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Preperiodic points for rational functions defined over a global field in terms of good reductions [PDF]
, 2015 Let $\phi$ be an endomorphism of the projective line defined over a global field $K$. We prove a bound for the cardinality of the set of $K$-rational preperiodic points for $\phi$ in terms of the number of places of bad reduction.
Canci, Jung-Kyu, Paladino, Laura
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Number fields and function fields: coalescences, contrasts and emerging applications [PDF]
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2015 The similarity between the density of the primes and the density of irreducible polynomials defined over a finite field of q elements was first observed by Gauss. Since then, many other analogies have been uncovered between arithmetic in number fields and in function fields defined over a finite field.
Keating, J. P. +2 more
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Investigating the Number of Monte Carlo Simulations for Statistically Stationary Model Outputs
Axioms, 2023 The number of random fields required to capture the spatial variability of soil properties and their impact on the performance of geotechnical systems is often varied.
Jiahang Zhang, Shengai Cui
doaj +1 more source
A quantum framework for AdS/dCFT through fuzzy spherical harmonics on S 4
Journal of High Energy Physics, 2020 We consider a non-supersymmetric domain-wall version of N $$ \mathcal{N} $$ = 4 SYM theory where five out of the six scalar fields have non-zero classical values on one side of a wall of codimension one.
Aleix Gimenez-Grau +3 more
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