RESULTS CONCERNING THINNESS OF D0L LANGUAGES

2000 ◽  
Vol 10 (02) ◽  
pp. 209-216
Author(s):  
JUHA HONKALA
Keyword(s):  
Algebraic Curves ◽  
Integral Points ◽  
Language L ◽  
Positive Genus

A language L is called thin if there exists an integer n0such that for all n≥n0L contains at most one word of length n. We show that thinness is decidable for exponential D0L languages. We show also that Siegel's result concerning integral points on algebraic curves of positive genus can often be used to prove that a polynomially bounded HD0L language is thin.

scholarly journals Bounding the j-invariant of integral points on certain modular curves

2014 ◽  
Vol 10 (06) ◽  
pp. 1545-1551 ◽  
Author(s):  
Min Sha
Keyword(s):  
Modular Curves ◽  
Integral Points ◽  
Positive Genus

In this paper, we obtain two effective bounds for the j-invariant of integral points on certain modular curves which have positive genus and less than three cusps.

scholarly journals CHARACTERIZING ALGEBRAIC CURVES WITH INFINITELY MANY INTEGRAL POINTS

2009 ◽  
Vol 05 (04) ◽  
pp. 585-590 ◽  
Author(s):  
PARASKEVAS ALVANOS ◽  
YURI BILU ◽  
DIMITRIOS POULAKIS
Keyword(s):  
Number Field ◽  
Algebraic Curves ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Classical Theorem ◽  
Integral Points ◽  
Necessary And Sufficient

A classical theorem of Siegel asserts that the set of S-integral points of an algebraic curveC over a number field is finite unless C has genus 0 and at most two points at infinity. In this paper, we give necessary and sufficient conditions for C to have infinitely many S-integral points.

GEOMETRIC THEORY OF MULTIDIMENSIONAL INTERPOLATION

2020 ◽  
Vol 2020 (1) ◽  
pp. 9-16
Author(s):  
Evgeniy Konopatskiy
Keyword(s):  
Response Function ◽  
Algebraic Curves ◽  
Geometric Theory ◽  
Analytical Description ◽  
Geometric Interpretation ◽  
Affine Geometry ◽  
Mathematical Apparatus ◽  
Multidimensional Interpolation ◽  
Pass Through

The paper presents a geometric theory of multidimensional interpolation based on invariants of affine geometry. The analytical description of geometric interpolants is performed within the framework of the mathematical apparatus BN-calculation using algebraic curves that pass through preset points. A geometric interpretation of the interaction of parameters, factors, and the response function is presented, which makes it possible to generalize the geometric theory of multidimensional interpolation in the direction of increasing the dimension of space. The conceptual principles of forming the tree of the geometric interpolant model as a geometric basis for modeling multi-factor processes and phenomena are described.

Thought and Language. L. S. Vygotsky , E. Hanfmann , G. Vakar

1964 ◽  
Vol 31 (2) ◽  
pp. 190-191
Author(s):  
Virgil Hinshaw,
Keyword(s):  
Language L

scholarly journals On the integer part of the reciprocal of the Riemann zeta function tail at certain rational numbers in the critical strip

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
WonTae Hwang ◽  
Kyunghwan Song
Keyword(s):  
Zeta Function ◽  
Rational Number ◽  
Riemann Zeta Function ◽  
Rational Numbers ◽  
Critical Strip ◽  
Integer Part ◽  
Integral Points ◽  
The Riemann Zeta Function ◽  
Riemann Zeta

Abstract We prove that the integer part of the reciprocal of the tail of $\zeta (s)$ ζ ( s ) at a rational number $s=\frac{1}{p}$ s = 1 p for any integer with $p \geq 5$ p ≥ 5 or $s=\frac{2}{p}$ s = 2 p for any odd integer with $p \geq 5$ p ≥ 5 can be described essentially as the integer part of an explicit quantity corresponding to it. To deal with the case when $s=\frac{2}{p}$ s = 2 p , we use a result on the finiteness of integral points of certain curves over $\mathbb{Q}$ Q .

scholarly journals Integral points on hyperelliptic curves

2008 ◽  
Vol 2 (8) ◽  
pp. 859-885 ◽  
Author(s):  
Yann Bugeaud ◽  
Maurice Mignotte ◽  
Samir Siksek ◽  
Michael Stoll ◽  
Szabolcs Tengely
Keyword(s):  
Hyperelliptic Curves ◽  
Integral Points
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