On Diophantine approximation by unlike powers of primes
Suppose that λ1, λ2, λ3, λ4, λ5 are nonzero real numbers, not all of the same sign, λ1/λ2 is irrational, λ2/λ4 and λ3/λ5 are rational. Let η real, and ε > 0.
Ge Wenxu, Li Weiping, Wang Tianze
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On pairs of equations in unlike powers of primes and powers of 2
In this paper, we obtained that when k = 455, every pair of large even integers satisfying some necessary conditions can be represented in the form of a pair of unlike powers of primes and k powers of 2.
Hu Liqun, Yang Li
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An Invitation to Additive Prime Number Theory [PDF]
2000 Mathematics Subject Classification: 11D75, 11D85, 11L20, 11N05, 11N35, 11N36, 11P05, 11P32, 11P55.The main purpose of this survey is to introduce the inexperienced reader to additive prime number theory and some related branches of analytic number ...
Tolev, D., Kumchev, A.
core
Sums of three cubes over a function field
We use a function field version of the circle method to prove that a positive proportion of elements in Fq[t] $\mathbb {F}_q[t]$ double struck upper F Subscript q Baseline left bracket t right bracket are representable as a sum of three cubes of ...
Tim Browning, Jakob Glas, Victor Wang
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On generating functions in additive number theory, II: lower-order terms and applications to PDEs. [PDF]
Brandes J +4 more
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On the infinite Borwein product raised to a positive real power. [PDF]
Schlosser MJ, Zhou NH.
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The epidemiology of blood transfusion in hospitalized children: a national cross-sectional study in China. [PDF]
Guo K +7 more
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Discovery and Selection of Hepatitis B Virus-Derived T Cell Epitopes for Global Immunotherapy Based on Viral Indispensability, Conservation, and HLA-Binding Strength. [PDF]
de Beijer MTA +9 more
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Restriction estimates of ε -removal type for k-th powers and paraboloids. [PDF]
Henriot K, Hughes K.
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Some Experiments on the Relative Digestibility of White and Wholemeal Breads. [PDF]
Newman LF +3 more
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