Cite this article as:

Dobrovolskaya L. P., Dobrovolsky M. N., Dobrovolskii N. M., Rebrova I. Y. Some Questions of Number-theoretical Method in Approximation Analysis. Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2013, vol. 13, iss. 4, pp. 47-52. DOI: https://doi.org/10.18500/1816-9791-2013-13-4-47-52

Language: 
Russian
Heading: 
Mathematics
UDC: 
511.9

Some Questions of Number-theoretical Method in Approximation Analysis

Authors: 
Dobrovolskaya Larisa Petrovna, Institute of Economics and Management, Russia, 300041, Tula, Veresaeva st., , lbocharova6565@mail.ru
Dobrovolsky Mikhail Nikolaevich, Geophysical center RAS, Russia, 119296, Moscow, Molodezhnaya str., 3 , dobrovolsky.michael@gmail.com
Dobrovolskii Nikolai Mikhailovich, Tula State Pedagogical University,, Russia, 300026, Tula, pr. Lenina, 125 , dobrovol@tspu.tula.ru
Rebrova Irina Yurievna, Tula State Pedagogical University,, Russia, 300026, Tula, pr. Lenina, 125 , rebrova@mail.ru
Abstract: 
This article gives an overview of several actual problems of optimal coefficients method. This overview was done on September 12, 2013 on XI internation conference «Algebra and number theory: modern problems and applications» in Saratov city.
Key words: 
optimal coefficients method, algebraic lattices, Gelfond theorem, hyperbolic zeta-function.
DOI: 
https://doi.org/10.18500/1816-9791-2013-13-4-47-52
References
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3. Dobrovolskaya L. P., Dobrovolskiy M. N., Dobrovolskiy N. M., Dobrovolskiy N. N. Giperbolicheskie dzetafunktsii setok i reshetok i vychislenie optimal’nykh koeffitsientov [Hyperbolic zeta-functions on nets and lattices and computation of optimal coefficients]. Chebyshevskii sbornik [Chebyshev collection], 2012, vol. 13, iss. 4(44), pp. 4–107 (in Russian).
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and lattices and their applications]. Tula, State Pedagogic University Press, 2005, 195 p. (in Russian).
5. Dobrovolskiy N. M. Mnogomernye teoretiko-chislovye setki i reshetki i ikh prilozheniia [Multidimensional number-theoretic nets and lattices and their applications]. Tula, State Pedagogic University Press, 2005, 195 p. (in
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6. Dobrovolskiy M. N. Funktsional’noe uravnenie dlia giperbolicheskoi dzeta-funktsii tselochislennykh reshetok [Functional equation of hyperbolic zeta-function on integral lattices]. Vestn. Mosk. un-ta. Ser. 1. Matematika. Mekhanika, 2007, iss. 3, pp. 18–23 (in Russian).
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