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Here we study zero-dimensional subschemes of ruled varieties, mainly Hirzebruch surfaces and rational normal scrolls, by applying the Horace method and the Terracini method

Zéros de fonctions entières et hypersurfaces algébriques.

Michel WALDSCHMIDT (1975/1976)

Seminaire de Théorie des Nombres de Bordeaux

Zeros of bounded holomorphic functions in strictly pseudoconvex domains in $ℂ^{2}$

Jim Arlebrink (1993)

Annales de l'institut Fourier

Let $D$ be a bounded strictly pseudoconvex domain in $ℂ^{2}$ and let $X$ be a positive divisor of $D$ with finite area. We prove that there exists a bounded holomorphic function $f$ such that $X$ is the zero set of $f$ . This result has previously been obtained by Berndtsson in the case where $D$ is the unit ball in $ℂ^{2}$ .

Zeros of holomorphic vector fields on singular spaces and intersection rings of Schubert varieties

E. Akyildiz, J. B. Carrell, D. I. Lieberman (1986)

Compositio Mathematica

Zeros of $L$ -functions of elliptic curves. (Zéros des fonctions $L$ de courbes elliptiques.)

Fermigier, Stéfane (1992)

Experimental Mathematics

Zero-set property of o-minimal indefinitely Peano differentiable functions

Andreas Fischer (2008)

Annales Polonici Mathematici

Given an o-minimal expansion ℳ of a real closed field R which is not polynomially bounded. Let $^{\infty}$ denote the definable indefinitely Peano differentiable functions. If we further assume that ℳ admits $^{\infty}$ cell decomposition, each definable closed subset A of Rⁿ is the zero-set of a $^{\infty}$ function f:Rⁿ → R. This implies $^{\infty}$ approximation of definable continuous functions and gluing of $^{\infty}$ functions defined on closed definable sets.

Zeta functions and blow-Nash equivalence

Goulwen Fichou (2005)

Annales Polonici Mathematici

We propose a refinement of the notion of blow-Nash equivalence between Nash function germs, which has been introduced in [2] as an analog in the Nash setting of the blow-analytic equivalence defined by T.-C. Kuo [13]. The new definition is more natural and geometric. Moreover, this equivalence relation still does not admit moduli for a Nash family of isolated singularities. But though the zeta functions constructed in [2] are no longer invariants for this new relation, thanks to a Denef & Loeser...

Zeta functions and Cartier divisors on singular curves over finite fields.

W.A. Zúniga Galindo (1997)

Manuscripta mathematica

Zeta Functions Attached to Finite General Linear Groups.

I.G. Macdonald (1980)

Mathematische Annalen

Zeta Functions of Algebraic Cycles Over Finite Fields.

Daqing Wan (1992)

Manuscripta mathematica

Zeta functions of singular curves over finite fields.

Zúñiga-Galindo, W.A. (1997)

Revista Colombiana de Matemáticas

Zeta functions of totally ramified p-covers of the projective line

Hanfeng Li, Hui June Zhu (2005)

Rendiconti del Seminario Matematico della Università di Padova

Zeta-Function of Monodromy and Newton's Diagram.

A.N. Varchenko (1976)

Inventiones mathematicae

Zeta-Functions of Binary Hermitian Forms and Special Values of Eisenstein Series on Three-Dimensional Hyperbolic Space.

Jürgen Elstrodt, Fritz Grunewald, Jens Mennicke (1987)

Mathematische Annalen

Znovu o pravoúhlém trojúhelníku

Emil Calda (2016)

Učitel matematiky

In the first part of the article the proof of the following theorem is given: Let point $S$ be the middle of $A B$ in the triangle $A B C$ , point $O$ the intersection of $A B$ and the axis of angle $A C B$ , point $P$ the foot of the perpendicular from $C$ on $A B$ . If angles $A C S, S C O, O C P, P C B$ are equal, then the angle $B C A$ is the right one. In the second part, the area of right angle triangle using only the length of the axis of the right angle and of the median is derived.

Zum Beweise des Satzes der Theorie der algebraischen Functionen, diese Annalen Bd. VI, p. 351

M. Noether (1892)

Mathematische Annalen

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