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Fungrim entry: 3eae25

Symbol: HardyRamanujanA A ⁣(n,k)A\!\left(n, k\right) Exponential sum in the Hardy-Ramanujan-Rademacher formula
Domain Codomain
nZ0  and  kZ1n \in \mathbb{Z}_{\ge 0} \;\mathbin{\operatorname{and}}\; k \in \mathbb{Z}_{\ge 1} A ⁣(n,k)RA\!\left(n, k\right) \in \mathbb{R}
Table data: (P,Q)\left(P, Q\right) such that (P)        (Q)\left(P\right) \;\implies\; \left(Q\right)
Definitions:
Fungrim symbol Notation Short description
HardyRamanujanAA ⁣(n,k)A\!\left(n, k\right) Exponential sum in the Hardy-Ramanujan-Rademacher formula
ZZGreaterEqualZn\mathbb{Z}_{\ge n} Integers greater than or equal to n
RRR\mathbb{R} Real numbers
Source code for this entry:
Entry(ID("3eae25"),
    SymbolDefinition(HardyRamanujanA, HardyRamanujanA(n, k), "Exponential sum in the Hardy-Ramanujan-Rademacher formula"),
    Table(TableRelation(Tuple(P, Q), Implies(P, Q)), TableHeadings(Description("Domain"), Description("Codomain")), List(Tuple(And(Element(n, ZZGreaterEqual(0)), Element(k, ZZGreaterEqual(1))), Element(HardyRamanujanA(n, k), RR)))))

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2021-03-15 19:12:00.328586 UTC