Statements (53)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:item
|
| gptkbp:are_a_generalization_of |
Jacobi theta functions
|
| gptkbp:are_connected_to_the_theory_of |
gptkb:crypt
|
| gptkbp:are_defined_by_their |
transformations under modular groups
|
| gptkbp:are_defined_on |
the upper half-plane
|
| gptkbp:are_important_in_the_context_of |
mathematical physics
modular forms and their generalizations |
| gptkbp:are_important_in_the_study_of |
string compactifications
vertex operator algebras |
| gptkbp:are_invariant_under |
certain symmetries
|
| gptkbp:are_related_to_the_theory_of |
L-functions
|
| gptkbp:are_used_in_the_study_of |
arithmetic geometry
|
| gptkbp:can_be_classified_by_their |
level and character
|
| gptkbp:can_be_defined_on |
complex tori
|
| gptkbp:can_be_expressed_in_terms_of |
theta functions
q-Pochhammer symbols |
| gptkbp:can_be_used_to |
conformal field theory
|
| gptkbp:can_be_used_to_compute |
mock modular forms
|
| gptkbp:can_be_used_to_derive |
congruences in number theory
|
| gptkbp:can_transform_into |
modular transformations
|
| gptkbp:constructed_in |
new mathematical models
new types of modular forms |
| gptkbp:has_applications_in |
gptkb:string_theory
|
| gptkbp:have_a_fourier_expansion_that_includes |
q-series
|
| https://www.w3.org/2000/01/rdf-schema#label |
Jacobi forms
|
| gptkbp:is_analyzed_in |
representation theory
algebraic topology |
| gptkbp:is_associated_with |
the theory of modular forms
lattice points Hecke operators the geometry of numbers |
| gptkbp:is_connected_to |
the theory of partitions
automorphic forms the theory of modular functions the theory of modular forms and their generalizations. |
| gptkbp:is_explored_in |
the structure of modular forms
|
| gptkbp:is_linked_to |
partition theory
|
| gptkbp:is_related_to |
modular forms
the theory of modular curves |
| gptkbp:is_represented_in |
power series
a sum of products of theta functions |
| gptkbp:is_studied_for |
the Langlands program
the arithmetic of elliptic curves the representation of numbers transformational properties |
| gptkbp:is_studied_in |
algebraic geometry
automorphic representations the theory of modular forms and their applications |
| gptkbp:is_used_in |
number theory
|
| gptkbp:scientific_classification |
their weight
|
| gptkbp:type_of |
holomorphic function
|
| gptkbp:bfsParent |
gptkb:Siegel_modular_forms
|
| gptkbp:bfsLayer |
6
|