Second Kronecker Limit Formula
The second Kronecker limit formula states that
where
- u and v are real and not both integers.
- q = e2π i τ and qa = e2π i aτ
- p = e2π i z and pa = e2π i az
for Re(s) > 1, and is defined by analytic continuation for other values of the complex number s.
Read more about this topic: Kronecker Limit Formula
Famous quotes containing the words limit and/or formula:
“An educational method that shall have liberty as its basis must intervene to help the child to a conquest of liberty. That is to say, his training must be such as shall help him to diminish as much as possible the social bonds which limit his activity.”
—Maria Montessori (1870–1952)
“Hidden away amongst Aschenbach’s writing was a passage directly asserting that nearly all the great things that exist owe their existence to a defiant despite: it is despite grief and anguish, despite poverty, loneliness, bodily weakness, vice and passion and a thousand inhibitions, that they have come into being at all. But this was more than an observation, it was an experience, it was positively the formula of his life and his fame, the key to his work.”
—Thomas Mann (18751955)