Is there yet a mystery about partitions?

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    Mystery partitions
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SUMMARY

The discussion centers on the topic of partitions in number theory, highlighting significant contributions by mathematicians such as Ramanujan and Selberg. It emphasizes the existence of formulas for partition numbers and suggests that recent advancements may exist but are not well-documented. For those seeking an introduction to the subject, the book 'Number Theory' by George E. Andrews is recommended as a valuable resource, authored by a recognized expert in the field.

PREREQUISITES
  • Understanding of basic number theory concepts
  • Familiarity with partition numbers and their significance
  • Knowledge of historical contributions in mathematics, particularly by Ramanujan and Selberg
  • Ability to interpret mathematical literature and research
NEXT STEPS
  • Read 'Number Theory' by George E. Andrews for foundational knowledge on partitions
  • Research Ramanujan's contributions to partition theory
  • Explore Selberg's improvements on partition formulas
  • Investigate recent publications or papers on advancements in partition theory
USEFUL FOR

Mathematicians, students of number theory, and anyone interested in the historical and contemporary study of partitions will benefit from this discussion.

billy_boy_999
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is there yet a mystery about partitions? where can i find some lit. on the subject?
 
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Perhaps, not sure. I do know that formulas for partition numbers have been found. Ramanujan found one that was later improved by Selberg (I think) ...not sure about recent work though.
 
For a good - and inexpensive - introduction to partitions, you can consider the book 'Number Theory' by George E. Andrews, who is an expert, a reviewer at Amazon says 'the reigning expert'.
 

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