Results & Lemmas (1)
Each result is auto-extracted from the paper via OCR - the math is shown verbatim and may carry occasional transcription artifacts. Click to expand the full statement.
Theorem 1
Theorem 1 We have the following identity Dn (ϕ) = Z det(1 −K)ℓ2( n,n+1,... ), (2.3) where Dn (ϕ) is the n × n Toeplitz determinant with…
Theorem 1 We have the following identity Dn (ϕ) = Z det(1 −K)ℓ2({n,n+1,... }) , (2.3) where Dn (ϕ) is the n × n Toeplitz determinant with symbol ϕ(ζ) = exp V (ζ) and the Fredholm determinant in the right-hand side is defined by det(1 −K)ℓ2({n,n+1,... }) = ∞ X m=0 (−1)m ∞ X n≤l1<···<lm det