Sovrem. Probl. Mat., 2016, Issue 23

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JOURNALS // Sovremennye Problemy Matematiki // Archive

2016, Issue 23

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General information

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Contents

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Number Theory and Applications, 1

Dedicated to 80th anniversary of professor Anatolii Alekseevich Karatsuba

	Anatolii Alexeevich Karatsuba (31.01.1937–28.09.2008)
	On local representation of zero by a form A. A. Karatsuba		7
	On zeros of certain Dirichlet series A. A. Karatsuba		12
	Cosmology and zeta A. A. Karatsuba		17
	A conditional optimal upper bound for the argument of the Riemann zeta function on the critical line Ph. Blanc		24
	Diophantine exponents of lattices O. N. German		35
	Periodic karyon expansions of cubic irrationals in continued fractions V. G. Zhuravlev		43
	On a way of ordering real algebraic numbers uniformly D. Koleda		69
	Value distribution of twists of $L$-functions of elliptic curves A. Laurinčikas, R. Macaitienė		79
	Riemann’s hypothesis in terms of the eigenvalues of special Hankel matrices Yu. V. Matiyasevich		87
	Jacob’s ladders, factorization, and metamorphoses as an appendix to the Riemann functional equation for $\zeta(s)$ on the critical line J. Moser		102

© Steklov Math. Inst. of RAS, 2026