VINOGRADOV SYSTEMS WITH A SLICE OFF
Let denote the number of integral solutions of the modified Vinogradov system of equations with . By exploiting sharp estimates for an auxiliary mean value, we obtain bounds for for . In particular, when satisfy and , we establish the essentially diagonal behaviour .
Julia Brandes, Trevor D. Wooley
wiley +1 more source
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
doaj +1 more source
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
On generating functions in additive number theory, II: lower-order terms and applications to PDEs. [PDF]
Brandes J +4 more
europepmc +1 more source
On the infinite Borwein product raised to a positive real power. [PDF]
Schlosser MJ, Zhou NH.
europepmc +1 more source
The epidemiology of blood transfusion in hospitalized children: a national cross-sectional study in China. [PDF]
Guo K +7 more
europepmc +1 more source
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
europepmc +1 more source
Restriction estimates of ε -removal type for k-th powers and paraboloids. [PDF]
Henriot K, Hughes K.
europepmc +1 more source
Some Experiments on the Relative Digestibility of White and Wholemeal Breads. [PDF]
Newman LF +3 more
europepmc +1 more source
Density of rational points on some quadric bundle threefolds. [PDF]
Bonolis D, Browning T, Huang Z.
europepmc +1 more source

