Sovrem. Probl. Mat., 2017, Issue 24

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JOURNALS // Sovremennye Problemy Matematiki // Archive

2017, Issue 24

Contents

Number Theory and Applications, 2

Dedicated to 80th anniversary of professor Anatolii Alekseevich Karatsuba

	Anatolii Alekseevich Karatsuba (January 31, 1937–September 28, 2008)
	Conference to the Memory of Anatoly Alekseevitch Karatsuba on Number Theory and Applications A. B. Kalmynin		7
	On an Equation Involving Fractional Powers with One Prime and One Almost Prime Variables Zh. Kh. Petrov, D. I. Tolev		46
	Values of the Beta Function: from Ramanujan's Continued Fraction to Hermite–Padé Approximants T. Rivoal		66
	Representation of Positive Integers by Summands of a Certain Form V. G. Chirskii		81
	Some Remarks on the Balog–Wooley Decomposition Theorem and Quantities $D^{+}$, $D^\times$ I. D. Shkredov		85