The environmental Kuznets curve (EKC) hypothesis is of great importance to understanding the relationship between economic activity and degradation. Given current wave climate change crisis traced rising pollution from activities, it has become important investigate impact expansion on environment especially in emerging-7 countries that are responsible for a large amount global activity. This s...

1 I n t r o d u c t i o n Elliptic curves can be applied to public-key cryptosystems, and as such several schemes have been proposed [3, 4, 5, 6, 9, 11]. There are two typical elliptic curve cryptosystems: E1Gamal-type scheme [4, 11] and RSA-type schemes [3, 5, 6]. The security of the EIGamal-type elliptic curve cryptosystem is based on the difficulty of solving a discrete logarithm over ellipt...

Reducing a 6d fivebrane theory on 3-manifold Y gives q-series invariant $${\widehat{Z}}(Y)$$ . We analyse the large-N behaviour of $$F_K={\widehat{Z}}(M_K)$$ , where $$M_K$$ is complement knot K in 3-sphere, and explore relationship between an a-deformed ( $$a=q^N$$ ) version $$F_{K}$$ HOMFLY-PT polynomials. On one hand, combination with counts holomorphic annuli complements, this enumerative i...