Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounds on the cardinality of restricted sumsets in $\mathbb{Z}_{p}$   In this paper we present a procedure which allows to transform a subset $A$
of $\mathbb{Z}_{p}$ into a set $ A'$ such that $ |2\hspace{0.15cm}\widehat{}
A'|\leq|2\hspace{0.15cm}\widehat{} A | $, where $2\hspace{0.15cm}\widehat{} A$
is defined to be the set $\left\{a+b:a\neq b,\;a,b\in A\right\}$. From this
result, we get some lower bounds for $ |2\hspace{0.15cm}\widehat{} A| $.
Finally, we give some remarks related to the problem for which sets $A\subset
\mathbb{Z}_{p}$ we have the equality $|2\hspace{0.15cm}\widehat{} A|=2|A|-1$.

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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
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The categories of this paper are: astro-ph
16
The categories of this paper are: stat
18
The categories of this paper are: econ