|
gptkbp:instanceOf
|
gptkb:integer_sequence
|
|
gptkbp:alsoKnownAs
|
gptkb:Ramanujan_tau_function_sequence
|
|
gptkbp:appearsIn
|
gptkb:modular_discriminant
|
|
gptkbp:author
|
gptkb:N._J._A._Sloane
|
|
gptkbp:citation
|
gptkb:B._C._Berndt,_Ramanujan's_Notebooks,_Part_III
gptkb:G._H._Hardy,_Ramanujan:_Twelve_Lectures_on_Subjects_Suggested_by_His_Life_and_Work
OEIS Foundation Inc. (2024), The On-Line Encyclopedia of Integer Sequences
|
|
gptkbp:eighth_term
|
84480
|
|
gptkbp:field
|
modular forms
number theory
|
|
gptkbp:fifthBook
|
4830
|
|
gptkbp:first_terms
|
1
-24
|
|
gptkbp:form
|
q-expansion of the discriminant modular form Δ(q) = q ∏_{n=1}^∞ (1 - q^n)^{24} = ∑_{n=1}^∞ τ(n)q^n
|
|
gptkbp:fourthPlace
|
-1472
|
|
gptkbp:hasKeyword
|
gptkb:digital_signature
easy
nice
nonn
|
|
gptkbp:multiplicative
|
true
|
|
gptkbp:ninth_term
|
-113643
|
|
gptkbp:OEIS
|
gptkb:A000594
|
|
gptkbp:related_mathematician
|
gptkb:Srinivasa_Ramanujan
|
|
gptkbp:relatedTo
|
gptkb:Ramanujan_tau_function
modular forms
|
|
gptkbp:sequence
|
gptkb:integer_sequence
gptkb:arithmetic_function
multiplicative function
1, -24, 252, -1472, 4830, -6048, -16744, 84480, -113643, 115920, ...
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|
gptkbp:sequence_definition
|
tau(n), the Ramanujan tau function
|
|
gptkbp:seventhBook
|
-16744
|
|
gptkbp:sixthBook
|
-6048
|
|
gptkbp:subject
|
gptkb:Deligne's_proof_of_the_Weil_conjectures
gptkb:Ramanujan_conjectures
|
|
gptkbp:tenth_term
|
115920
|
|
gptkbp:thirdPlace
|
252
|
|
gptkbp:bfsParent
|
gptkb:Ramanujan_tau_function
|
|
gptkbp:bfsLayer
|
7
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
A000594 (OEIS)
|