Zap. Nauchn. Sem. LOMI, 1977, Volume 67

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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

1977, Volume 67

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General information

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Contents

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Studies in number theory. Part 4

	Markov and Lagrange spectra (survey of the literature) A. V. Malyshev		5
	Geometry of Lobachevskii in connection with certain questions of arithmetic D. S. Gorshkov		39
	Representation of square matrices by the product of diagonal, orthogonal, triangular, and integral unimodular matrices (in connection with the inhomogeneous Minkowski conjecture) N. S. Akhmedov		86
	Proof of Minkowski's conjecture concerning the critical determinant of the region $\|x\|^p+\|y\|^p<1$ for $5<p<6$ K. I. Grishmanovskaya, A. V. Malyshev, U. M. Pachev, A. M. Fidarova		95
	Minkowski reduction region for positive quadratic forms in seven variables P. P. Tammela		108
	The question of single-class genera of positive binary quadratic forms A. B. Voronetskii		144
	Zeta function of a system of forms E. P. Golubeva, O. M. Fomenko		156
	An indeterminate equation V. A. Dem'yanenko		163
	A class of primality criteria formulated in terms of the divisibility of binomial coefficients Yu. V. Matiyasevich		167
	A generalization of the algorithm for continued fractions related to the algorithm of Viggo Brunn E. V. Podsypanin		184
	Representation of the direct sum of two quadratic fields by rational symmetric matrices L. I. Roginskii		195
	Application of fields formed by the Gauss periods to the investigation of cyclic diophantine equations A. V. Tolstikov		201
	A remark on Fermat's last theorem A. V. Tolstikov		223

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