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Independence number for partitions of $\omega$(The interplay between set theory of the reals and iterated forcing)

Independence number for partitions of $\omega$(The interplay between set theory of the reals and iterated forcing)
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Low theories and the number of independent partitions (Model theoretic aspects of the notion of independence and dimension)

Low theories and the number of independent partitions (Model theoretic aspects of the notion of independence and dimension)
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Probability distributions of partition theory in number theory arising in classical thermodynamics and economics

Mathematical Notes, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Partitions of Positive Integers: An Elementary Topic of Number Theory

The Mathematics Teacher, 1974
The author presents some interesting aspects of number theory and graphing that should be appealing to students.
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Memoir on the theory of the partitions of numbers. Part II

Proceedings of the Royal Society of London, 1899
The subject of the partition of numbers, for its proper development, requires treatment in a new and more comprehensive manner. The subject matter of the theory needs enlargement. This will be found to be a necessary consequence of the new method of regarding a partition that is here brought into prominence.
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Memoir on the theory of the partitions of numbers. Part III.

Proceedings of the Royal Society of London, 1905
In this communication a "general magic square" is defined as I consisting of n 2 numbers arranged in a square in such wise that each row, column, and diagonal contains a partition of the same number.
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The Bohr–Kalckar correspondence principle and a new construction of partitions in number theory

Mathematical Notes, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Partition Threshold Collapse and Modular Congruences in Classical Number Theory

This study proposes that local curvature minima in the partition function p(n)p(n)p(n) are associated with modular congruence phenomena. Analyzing second discrete differences up to n=5000n=5000n=5000, we observe that known congruences (mod 5, 7, 11) align with curvature-collapse points.
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Limit distribution of the energy of a quantum ideal gas from the viewpoint of the theory of partitions of natural numbers

Russian Mathematical Surveys, 1997
Many problems of mathematics and statistical physics have their natural counterparts in the theory of multiplicative statistics of partitions of natural numbers and vectors. Such an equivalent representation is quite useful; it reduces the study of the limiting behaviour of certain characteristics of physical and mathematical systems to the ...
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Wild partitions and number theory

2007
Summary: We introduce the notion of wild partition to describe in combinatorial language an important situation in the theory of \(p\)-adic fields. For \(Q\) a power of \(p\) , we get a sequence of numbers \(\lambda_{Q,n}\) counting the number of certain wild partitions of \(n\) . We give an explicit formula for the corresponding generating function \(\
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