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math.NT2026
-sets in abelian groups
Vivekanand Goswami, Raj Kumar Mistri
For a positive integer , a subset of an additive abelian group is called an -set of size if all sums of distinct elements in are d…
math.CO2026
Signed sumsets and restricted signed sumsets in groups and fields
Raj Kumar Mistri, Nitesh Prajapati
Let be a nonempty finite subset of an additive abelian group . For a nonnegative integer , the \emph{-fold signed sumset} of , denoted by $h_…
math.NT2026
Restricted set addition in finite abelian groups
Vivekanand Goswami, Raj Kumar Mistri
Let be a nonempty subset of finite abelian group of order . For an integer , the restricted -fold sumset is the set of all sums of distinct…
math.CO2026
Structure of sets with small product sets in torsion-free groups, cyclic groups of prime orders and abelian groups
Raj Kumar Mistri, Nitesh Prajapati
Let and be positive integers with , and let be a finite sequence of finite subsets of a group (not necessarily abelia…