Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
gptkb:Multiplicative_number_theory
Fourier analysis of arithmetic functions |
| gptkbp:defines |
Finite sums of roots of unity
|
| gptkbp:field |
gptkb:Number_theory
|
| gptkbp:form |
c_q(n) = sum_{a=1, (a,q)=1}^q exp(2πian/q)
|
| https://www.w3.org/2000/01/rdf-schema#label |
Ramanujan sums
|
| gptkbp:introduced |
gptkb:Srinivasa_Ramanujan
|
| gptkbp:namedAfter |
gptkb:Srinivasa_Ramanujan
|
| gptkbp:notation |
c_q(n)
|
| gptkbp:property |
Orthogonality relations
Multiplicative in q for fixed n |
| gptkbp:relatedTo |
gptkb:Möbius_function
gptkb:Dirichlet_characters gptkb:Euler's_totient_function |
| gptkbp:usedIn |
Ramanujan expansion of arithmetic functions
|
| gptkbp:bfsParent |
gptkb:Hardy-Littlewood_circle_method
|
| gptkbp:bfsLayer |
6
|