Additive Number Theory

Additive Number Theory is a branch of mathematics that studies the ways in which numbers can be combined through addition. It focuses on problems like expressing numbers as sums of other numbers, such as finding how many ways a number can be written as a sum of prime numbers or finding subsets of integers that add up to a specific total. Key concepts include additive functions, sequences, and their properties, often involving infinite sets of numbers. This area of study helps mathematicians understand the structure and behavior of numbers in relation to addition.