modular functions
[ˈmɑːdʒələr ˈfʌŋkʃənz]
nounpl: modular functions
funções modulares
1. In mathematics, particularly in complex analysis and number theory, functions that are invariant under the action of modular groups and possess special properties related to the upper half-plane of complex numbers
The Weierstrass P-function is a classical example of a modular function used in elliptic curve theory.
A função P de Weierstrass é um exemplo clássico de uma função modular utilizada na teoria de curvas elípticas.
2. Functions that are periodic with respect to a lattice and satisfy transformation properties under modular group actions, fundamental in the study of elliptic functions and number theory
Modular functions play a crucial role in the proof of Fermat's Last Theorem.
As funções modulares desempenham um papel crucial na prova do Último Teorema de Fermat.
This is a specialized mathematical term used primarily in academic contexts, particularly in graduate-level mathematics, theoretical physics, and number theory research. The term is discipline-specific and maintains identical meaning across English and Portuguese mathematical communities, reflecting the international nature of mathematical language.
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