On a problem in the additive theory of numbers

1932 ◽  
Vol 34 (1) ◽  
pp. 637-644 ◽  
Author(s):  
C. J. A. Evelyn ◽  
E. H. Linfoot
Keyword(s):  
Additive Theory ◽  
Theory Of Numbers

Note on a Result in the Additive Theory of Numbers

1938 ◽  
Vol s2-43 (1) ◽  
pp. 142-151 ◽  
Author(s):  
H. Davenport ◽  
H. Heilbronn
Keyword(s):  
Additive Theory ◽  
Theory Of Numbers

ON A PROBLEM IN THE ADDITIVE THEORY OF NUMBERS (VI)

1933 ◽  
Vol os-4 (1) ◽  
pp. 309-314 ◽  
Author(s):  
C. J. A. EVELYN ◽  
E. H. LINFOOT
Keyword(s):  
Additive Theory ◽  
Theory Of Numbers

On Waring's problem for cubes

1991 ◽  
Vol 109 (2) ◽  
pp. 229-256 ◽  
Author(s):  
Jörg Brüdern
Keyword(s):  
Singular Series ◽  
Natural Numbers ◽  
Additive Theory ◽  
Waring’S Problem ◽  
Waring's Problem ◽  
Quantitative Form ◽  
Image Position ◽  
Theory Of Numbers

A classical conjecture in the additive theory of numbers is that all sufficiently large natural numbers may be written as the sum of four positive cubes of integers. This is known as the Four Cubes Problem, and since the pioneering work of Hardy and Littlewood one expects a much more precise quantitative form of the conjecture to hold. Let v(n) be the number of representations of n in the proposed manner. Then the expected formula takes the shapewhere (n) is the singular series associated with four cubes as familiar in the Hardy–Littlewood theory.

A problem in additive number theory

1988 ◽  
Vol 103 (1) ◽  
pp. 27-33 ◽  
Author(s):  
Jörg Brüdern
Keyword(s):  
Number Theory ◽  
Additive Number Theory ◽  
Interesting Problem ◽  
Natural Numbers ◽  
Additive Theory ◽  
Additive Number ◽  
Image Position ◽  
Theory Of Numbers

The determination of the minimal s such that all large natural numbers n admit a representation asis an interesting problem in the additive theory of numbers and has a considerable literature, For historical comments the reader is referred to the author's paper [2] where the best currently known result is proved. The purpose here is a further improvement.

On a Problem in the Additive Theory of Numbers

1931 ◽  
Vol 32 (2) ◽  
pp. 261 ◽  
Author(s):  
C. J. A. Evelyn ◽  
E. H. Linfoot
Keyword(s):  
Additive Theory ◽  
Theory Of Numbers
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