Srinivasa Ramanujan (source code)

= Srinivasa Ramanujan
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<Srinivasa Ramanujan> developed results in <number theory>, including the study of <highly composite numbers>: <positive integers> having more <divisors> than every smaller positive integer.<Highly Composite Numbers by Srinivasa Ramanujan>[Sections 1 and 6–8]{ref}

His analysis connects record values of the <divisor function> with <prime factorization>. Prime exponents must be arranged in nonincreasing order as the primes increase: swapping an inverted pair would produce a smaller integer with the same divisor count, contradicting the record property. For example, $12=2^2\cdot3$ has six positive <divisors>. The subject turns irregular arithmetic data into a constrained optimization problem.<Highly Composite Numbers by Srinivasa Ramanujan>[Section 8, standard prime-exponent form]{ref}