scholarly journals Sharp nonzero lower bounds for the Schur product theorem

2021 ◽  
pp. 1
Author(s):  
Apoorva Khare
Keyword(s):  
Lower Bounds ◽  
Product Theorem ◽  
Schur Product

scholarly journals Quelques remarques sur des questions d'approximation diophantienne

1999 ◽  
Vol 59 (2) ◽  
pp. 323-334 ◽  
Author(s):  
Patrice Philippon
Keyword(s):  
Lower Bounds ◽  
Approximation Theory ◽  
Diophantine Approximation ◽  
Rational Numbers ◽  
Product Theorem ◽  
Linear Forms In Logarithms ◽  
Linear Forms ◽  
Subspace Theorem

Hoping for a hand-shake between methods from diophantine approximation theory and transcendance theory, we show how zeros estimates from transcendance theory imply Roth's type lemmas (including the product theorem). We also formulate some strong conjectures on lower bounds for linear forms in logarithms of rational numbers with rational coefficients, inspired by the subspace theorem and which would imply, for example, the abc conjecture.

Two Lower Bounds for Shortest Double-Base Number System

2015 ◽  
Vol E98.A (6) ◽  
pp. 1310-1312 ◽  
Author(s):  
Parinya CHALERMSOOK ◽  
Hiroshi IMAI ◽  
Vorapong SUPPAKITPAISARN
Keyword(s):  
Lower Bounds ◽  
Number System ◽  
Base Number ◽  
Double Base

Lower bounds on the dimension of the Rauzy gasket

2020 ◽  
Vol 148 (2) ◽  
pp. 321-327
Author(s):  
Rodolfo Gutiérrez-Romo ◽  
Carlos Matheus
Keyword(s):  
Lower Bounds

A Lower Bound for Schur Numbers and Multicolor Ramsey Numbers

10.37236/1188 ◽  
1994 ◽  
Vol 1 (1) ◽  
Author(s):  
Geoffrey Exoo
Keyword(s):  
Lower Bound ◽  
Lower Bounds ◽  
Ramsey Numbers

For $k \geq 5$, we establish new lower bounds on the Schur numbers $S(k)$ and on the k-color Ramsey numbers of $K_3$.

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