Results 21 to 30 of about 3,669,140 (285)
On the Complex-Valued Distribution Function of Charged Particles in Magnetic Fields
Mathematics, 2021 In this work, we revisit Boltzmann’s distribution function, which, together with the Boltzmann equation, forms the basis for the kinetic theory of gases and solutions to problems in hydrodynamics.
Andrey Saveliev
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Mathematics, 2021 In this paper, we find some inequalities which involve Euler’s function, extended Euler’s function, the function τ, and the generalized function τ in algebraic number fields.
Nicuşor Minculete, Diana Savin
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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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Genus fields of congruence function fields
Finite Fields and Their Applications, 2017 Let $k$ be a rational congruence function field and consider an arbitrary finite separable extension $K/k$. If for each prime in $k$ ramified in $K$ we have that at least one ramification index is not divided by the characteristic of $K$, we find the genus field $\g K$, except for constants, of the extension $K/k$.
Maldonado-Ramírez, Myriam +2 more
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Towards a Molecular Understanding of the Fanconi Anemia Core Complex
Anemia, 2012 Fanconi Anemia (FA) is a genetic disorder characterized by the inability of patient cells to repair DNA damage caused by interstrand crosslinking agents.
Charlotte Hodson, Helen Walden
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On the Mertens Conjecture for Function Fields [PDF]
, 2013 We study an analogue of the Mertens conjecture in the setting of global function fields. Building on the work of Cha, we show that most hyperelliptic curves do not satisfy the Mertens conjecture, but that if we modify the Mertens conjecture to have a ...
Humphries, Peter
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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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Some Properties of Extended Euler’s Function and Extended Dedekind’s Function
Mathematics, 2020 In this paper, we find some properties of Euler’s function and Dedekind’s function. We also generalize these results, from an algebraic point of view, for extended Euler’s function and extended Dedekind’s function, in algebraic number fields ...
Nicuşor Minculete, Diana Savin
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Average value of the divisor class numbers of real cubic function fields
Open Mathematics, 2023 We compute an asymptotic formula for the divisor class numbers of real cubic function fields Km=k(m3){K}_{m}=k\left(\sqrt[3]{m}), where Fq{{\mathbb{F}}}_{q} is a finite field with qq elements, q≡1(mod3)q\equiv 1\hspace{0.3em}\left(\mathrm{mod}\hspace{0 ...
Lee Yoonjin, Lee Jungyun, Yoo Jinjoo
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Algorithms for Function Fields [PDF]
Experimental Mathematics, 2002 Let K/Q(t) be a finite extension. We describe algorithms for computingsubfields and automorphisms of K/Q(t). As an application we give an algorithm for finding decompositions of rational functions in Q(α). We also present an algorithm which decides if an extension L/Q(t) is a subfield of K.
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