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Bernoulli Partitions

Thomas L. Curtright

Abstract

Scale invariant scattering suggests that all Bernoulli numbers B_{2n} can be naturally partitioned, i.e., written as particular finite sums of same-signed, monotonic, rational numbers. Some properties of these rational numbers are discussed here, especially in the limit of large n.

Bernoulli Partitions

Abstract

Scale invariant scattering suggests that all Bernoulli numbers B_{2n} can be naturally partitioned, i.e., written as particular finite sums of same-signed, monotonic, rational numbers. Some properties of these rational numbers are discussed here, especially in the limit of large n.

Paper Structure

This paper contains 16 equations.

Theorems & Definitions (2)

  • Conjecture 1
  • Remark 1