Waring's Problem & Lagrange's Four-Square Theorem

$latex \displaystyle \mathrm{num}\ = \square+\square+\square+\square &fg=000000$ Introduction We are all familiar with the problem of splitting numbers into products of primes. This process is called factorisation. The problem of expressing numbers as sums of smaller numbers has also been studied in great depth. We call such a decomposition a partition. The Indian mathematician Ramanujan proved…

Methods of Solving Number Theory Problems - Ellina Grigorieva - Innbundet (9783319909141) » Bokklubben

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5. * In the following sequence of problems, we will

Waring's Problem -- from Wolfram MathWorld

SOLUTION: CH 1 Waring's Problem HARDY LITTLEWOOD METHOD - Studypool

Are there any numbers which cannot be written as a sum of three cubes or sums of four squares? If yes, then how many such numbers exist and what are they?

Table 3 from Extended Lagrange's four-square theorem

Additive Number Theory The Classical Bases (Graduate Texts in Mathematics, 164): Nathanson, Melvyn B.: 9780387946566: : Books

DESCRIPTIVE SURVEY: F. Theory of Numbers, Guide to Tables in the Theory of Numbers

Table 3 from Extended Lagrange's four-square theorem

number theory

PDF) Lagrange's four squares theorem with one prime and three almost-prime variables

PPT - Waring's Problem PowerPoint Presentation, free download - ID:4504701