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 The image of the Galois group for some crystalline representationsV. A. Abrashkin 3 On Walsh series with monotone coefficientsG. G. Gevorkyan, K. A. Navasardyan 41 Renewal equations on the semi-axisN. B. Engibaryan 61 Embedding $p$-elementary latticesV. G. Zhuravlev 77 $S$-duality testing and exceptional bundlesB. V. Karpov 107 Projective structures on complex curves and the Hitchin systemN. S. Markaryan 123 A non-local theory of generalized entropy solutions of the Cauchy problem for a class of hyperbolic systems of conservation lawsE. Yu. Panov 133 On weights of the $l$-adic representation and arithmetic of Frobenius eigenvaluesS. G. Tankeev 185