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math.CO2026
Arithmetic Progressions in a Random Binary Subset-Sum Set
Norbert Hegyvári, Thang Pham, Boqing Xue
Let be a binary sequence, and define \[ X_0=1,\qquad X_{n+1}=2X_n+u_n \qquad(n\ge0). \] Let be the set of all nonempty finite subset sums of the sequence $(…
math.CO2026
Subset-Sum Density Realization in Locally Finite Abelian Groups
Norbert Hegyvári, Thang Pham, Boqing Xue
Let be a countable locally finite abelian group, and let \[ G_1\leq G_2\leq\cdots, \qquad \bigcup_{i\geq1}G_i=G, \] be any filtration of by finite subgroups. For $A\subsete…