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- Arithmetic function
- Brauer progression theorem
- Compactness bound for partition regularity
- Constant-one arithmetic function
- Dynamical proof of Hindman's theorem
- Finite sums theorem
- Higher product bound for an approximate group
- Hilbert cube
- Hilbert cube theorem
- Hindman theorem
- Ideal of definition
- Integers with all prime factors congruent to one modulo four
- Least quadratic nonresidue
- Monochromatic m-p-c set theorem
- Monochromatic sums-and-products obstruction
- Nilpotent linear map
- Non-Ramsey set from transfinite selection
- Partition regular matrix
- Past exam of the mathematics course of the University of Cambridge / 2001 / ia / Paper 4 / 8E / Solution
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- Periodic point of an interval map
- Prime omega function
- Prime sum
- Reciprocal partition regularity
- Separability of roots of unity
- Smooth number
- Space of infinite subsets of the natural numbers
- Van der Waerden theorem
- Von Mangoldt divisor identity
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