Relation To Modular Invariants
The modular invariants and of an elliptic curve are given by the first two terms of the Eisenstein series as
and
The article on modular invariants provides expressions for these two functions in terms of theta functions.
Read more about this topic: Eisenstein Series
Famous quotes containing the words relation to and/or relation:
“The foregoing generations beheld God and nature face to face; we, through their eyes. Why should not we also enjoy an original relation to the universe? Why should not we have a poetry and philosophy of insight and not of tradition, and a religion by revelation to us, and not the history of theirs?”
—Ralph Waldo Emerson (18031882)
“You see, I am alive, I am alive
I stand in good relation to the earth
I stand in good relation to the gods
I stand in good relation to all that is beautiful
I stand in good relation to the daughter of Tsen-tainte
You see, I am alive, I am alive”
—N. Scott Momaday (b. 1934)