### Some articles on *divisors, divisor*:

Elementary

... In algebra, the elementary

**Divisors**... In algebra, the elementary

**divisors**of a module over a principal ideal domain (PID) occur in one form of the structure theorem for finitely generated modules over a principal ideal domain ... up to associatedness, and are called the elementary**divisors**... primary ideals are powers of primes, so the elementary**divisors**...Mathukumalli V. Subbarao

... He also researched special classes of

... He also researched special classes of

**divisors**and the corresponding analogues of**divisor**functions and perfect numbers, such as those arising from the exponential**divisors**("e-**divisors**...Jacobi's Four-square Theorem

1 The number of ways to represent n as the sum of four squares is eight times the sum of the

1 The number of ways to represent n as the sum of four squares is eight times the sum of the

**divisors**of n if n is odd and 24 times the sum of the odd**divisors**...Ramanujan's Sum - Ramanujan Expansions - σ

... σk(n) is the

_{k}(*n*)... σk(n) is the

**divisor**function (i.e ... the sum of the kth powers of the**divisors**of n, including 1 and n) ... σ0(n), the number of**divisors**of n, is usually written d(n) and σ1(n), the sum of the**divisors**of n, is usually written σ(n) ...Brill–Noether Theory

... theory, introduced by Brill and Noether (1874), is the study of special

... theory, introduced by Brill and Noether (1874), is the study of special

**divisors**, certain**divisors**on a curve C that determine more compatible functions than would be predicted ... In classical language, special**divisors**move on the curve in a "larger than expected" linear system of**divisors**... The condition to be a special**divisor**D can be formulated in sheaf cohomology terms, as the non-vanishing of the H1 cohomology of the sheaf of the sections of the invertible sheaf or line bundle associated to D ...Main Site Subjects

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