A compactification of $({\mathbb {C}}^*)^4$ with no non-constant meromorphic functions

Jun-Muk Hwang; Dror Varolin

Displaying similar documents to “A compactification of ${(ℂ^{*})}^{4}$ with no non-constant meromorphic functions”

Non-vanishing of class group $L$ -functions at the central point

Valentin Blomer (2004)

Annales de l’institut Fourier

Similarity:

Let $K = ℚ (\sqrt{- D})$ be an imaginary quadratic field, and denote by $h$ its class number. It is shown that there is an absolute constant $c > 0$ such that for sufficiently large $D$ at least $c \cdot h \prod_{p ∣ D} (1 - p^{- 1})$ of the $h$ distinct $L$ -functions $L_{K} (s, χ)$ do not vanish at the central point $s = 1 / 2$ .

Extension of CR functions to «wedge type» domains

Andrea D&amp;#039;Agnolo, Piero D&#039;Ancona, Giuseppe Zampieri (1991)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Similarity:

Let $X$ be a complex manifold, $S$ a generic submanifold of $X^{R}$ , the real underlying manifold to $X$ . Let $Ω$ be an open subset of $S$ with $\partial Ω$ analytic, $Y$ a complexification of $S$ . We first recall the notion of $Ω$ -tuboid of $X$ and of $Y$ and then give a relation between; we then give the corresponding result in terms of microfunctions at the boundary. We relate the regularity at the boundary for ${\bar{\partial}}_{b}$ to the extendability of $C R$ functions on $Ω$ to $Ω$ -tuboids of $X$ . Next, if $X$ has complex dimension 2, we give results...

On units of some fields of the form $ℚ (\sqrt{2}, \sqrt{p}, \sqrt{q}, \sqrt{- l})$

Mohamed Mahmoud Chems-Eddin (2023)

Mathematica Bohemica

Similarity:

Let $p \equiv 1 (mod 8)$ and $q \equiv 3 (mod 8)$ be two prime integers and let $ℓ \notin {- 1, p, q}$ be a positive odd square-free integer. Assuming that the fundamental unit of $ℚ (\sqrt{2 p})$ has a negative norm, we investigate the unit group of the fields $ℚ (\sqrt{2}, \sqrt{p}, \sqrt{q}, \sqrt{- ℓ})$ .

On an approximation property of Pisot numbers II

Toufik Zaïmi (2004)

Journal de Théorie des Nombres de Bordeaux

Similarity:

Let $q$ be a complex number, $m$ be a positive rational integer and $l_{m} (q) = inf {|P (q)|, P \in ℤ_{m} [X], P (q) \neq 0}$ , where $ℤ_{m} [X]$ denotes the set of polynomials with rational integer coefficients of absolute value $\leq m$ . We determine in this note the maximum of the quantities $l_{m} (q)$ when $q$ runs through the interval $] m, m + 1 [$ . We also show that if $q$ is a non-real number of modulus $> 1$ , then $q$ is a complex Pisot number if and only if $l_{m} (q) > 0$ for all $m$ .

Block distribution in random strings

Peter J. Grabner (1993)

Annales de l'institut Fourier

Similarity:

For almost all infinite binary sequences of Bernoulli trials $(p, q)$ the frequency of blocks of length $k (N)$ in the first $N$ terms tends asymptotically to the probability of the blocks, if $k (N)$ increases like $\log_{\frac{1}{p}} N - \log_{\frac{1}{p}} N - ψ (N)$ (for $p \leq q$ ) where $ψ (N)$ tends to $+ \infty$ . This generalizes a result due to P. Flajolet, P. Kirschenhofer and R.F. Tichy concerning the case $p = q = \frac{1}{2}$ .

Displaying similar documents to “A compactification of ( ℂ * ) 4 with no non-constant meromorphic functions”

Non-vanishing of class group L -functions at the central point

Extension of CR functions to «wedge type» domains

On units of some fields of the form ℚ ( 2 , p , q , - l )

On an approximation property of Pisot numbers II

Block distribution in random strings

Displaying similar documents to “A compactification of ${(ℂ^{*})}^{4}$ with no non-constant meromorphic functions”

Non-vanishing of class group $L$ -functions at the central point

On units of some fields of the form $ℚ (\sqrt{2}, \sqrt{p}, \sqrt{q}, \sqrt{- l})$