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2001, Volume 1, Issue 1  

Proceedings of the IV International Conference "Modern Problems of Number Theory and its Applications" (Tula, 2001).


On the number of solutions of the equation $(x_1+\dots+x_n)^2=ax_1\dots x_n$ in the finite field $\mathbb F_q$ for $\mathrm{gcd}(n-2,q-1)=7$ and for $\mathrm{gcd}(n-2,q-1)=14$
Yu. N. Baulina
5–14
On multiplicative functions on the set $\{p-1\}$
E. P. Davletyarova
15–24
The mean value theorem of I. M. Vinogradov for Gaussian numbers
I. M. Kozlov
25–39
On some properties of special polynomials
N. M. Korobov
40–49
The simplest equivalent of the Riemann hypothesis
A. F. Lavrik, A. A. Lavrik-Mennlin
50–51
On summation and interpolation formulas
A. V. Ustinov
52–71
On two binary additive problems over prime numbers
Chen Jongyi
72–94
On the Diophantine equation $x^2+c^{2m}=y^n$
Ka-Lam Kueh
95–97
 
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