� / Moscow Journal of Combinatorics and Number Theory. 2012

Contents

1.	Arithmetical Results on Certain q-Series, IV Peter Bundschuh (Köln), Keijo Väänänen (Oulu)
	1.	Introduction and results
	2.	Three lemmas
	3.	Proof of Theorem 1
	4.	Proof of Theorem 2
	Bibliography
2.	On Diophantine exponents and Khintchine's transference principle Oleg N.German (Moscow)
	1.	History and main results
		1.1.	Uniform exponents
		1.2.	Regular exponents
		1.3.	Transference theorem
		1.4.	Arbitrary functions
	2.	From Rⁿ and R^m to R^n+m
	3.	Determinants of orthogonal integer lattices
	4.	Section-dual set
	5.	Transference theorem
	6.	The main lemma
	7.	Proof of Theorem 6
	8.	Proof of Theorem 5
	9.	Special case n+m=3
	Bibliography
3.	Distance graphs with large chromatic number and arbitrary girth Andrey B. Kupavskii (Moscow)
	1.	Introduction
		1.1.	History and related problems
		1.2.	Main Result
	2.	Proof of Theorem 1
		2.1.	Preliminaries
		2.2.	Proof of Theorem 1
	Bibliography
4.	Positive integers: counterexample to W.M.Schmidt's conjecture Nikolay G.Moshchevitin (Moscow)
	1.	Introduction
	2.	Diophantine exponents
	3.	The construction
	4.	Linearly independent vectors
	5.	Vectors dependent with m_ʋ, m_ʋ+1
	6.	Proof of Theorem 1
	7.	Fundamental Lemma: beginning of proof
	8.	Lemmata
	9.	Fundamental Lemma: end of proof
	Bibliography
5.	The distribution of second degrees in the Bollobás–Riordan random graph model Liudmila Ostroumova (Moscow), Evgeniy Grechnikov (Moscow)
	1.	Introduction
	2.	Definitions and results
	3.	Proofs
		3.1.	Proof of Theorem 4
		3.2.	Proof of Theorem 2
		3.3.	Proof of Lemma 1
		3.4.	Proof of Lemma 2
		3.5.	Proof of Theorem 3
	Bibliography

. Moscow Journal of Combinatorics and Number Theory.
2012. Vol.2, Iss.2