Kachakhidze, N. On the representation of numbers by a direct sum of quadratic forms \(x^ 2_ 1 + x^ 2_ 2 + x^ 2_ 3 + x^ 2_ 4 +x_ 1x_ 2 +x_ 1x_ 3 + x_ 2x_ 4\). (English) Zbl 0742.11020 Soobshch. Akad. Nauk Gruz. SSR 141, No. 3, 469-472 (1991). Reviewer: M.Peters (Münster) MSC: 11E25 11E20 11F11 PDFBibTeX XMLCite \textit{N. Kachakhidze}, Soobshch. Akad. Nauk Gruz. SSR 141, No. 3, 469--472 (1991; Zbl 0742.11020)
Walfisz, A. A.; Malyshev, A. V. On formulas for the number of representations of integers by quadratic forms with additional linear conditions. (Russian. English summary) Zbl 0741.11022 Soobshch. Akad. Nauk Gruz. SSR 141, No. 2, 277-280 (1991). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11D45 PDFBibTeX XMLCite \textit{A. A. Walfisz} and \textit{A. V. Malyshev}, Soobshch. Akad. Nauk Gruz. SSR 141, No. 2, 277--280 (1991; Zbl 0741.11022)
Èrkomauıshvili, G. L. On the number of representations of integers by some quadratic functions. (English) Zbl 0747.11018 Soobshch. Akad. Nauk Gruz. SSR 139, No. 2, 257-259 (1990). Reviewer: M.Kula (Katowice) MSC: 11D85 11D09 11E25 PDFBibTeX XMLCite \textit{G. L. Èrkomauıshvili}, Soobshch. Akad. Nauk Gruz. SSR 139, No. 2, 257--259 (1990; Zbl 0747.11018)
Kachakhidze, N. D. On the representation of integers as sum of quadratic forms of the form \(x_ 1^ 2 + x_ 1x_ 2 + x_ 2^ 2\). (Russian. English summary) Zbl 0747.11020 Soobshch. Akad. Nauk Gruz. SSR 139, No. 2, 249-252 (1990). Reviewer: M.Kula (Katowice) MSC: 11E25 11E45 11D85 PDFBibTeX XMLCite \textit{N. D. Kachakhidze}, Soobshch. Akad. Nauk Gruz. SSR 139, No. 2, 249--252 (1990; Zbl 0747.11020)
Kordzaya, K. D.; Nadiradze, R. G. Elliptic genera of level N and umbral calculus. (Russian. English summary) Zbl 0715.57012 Soobshch. Akad. Nauk Gruz. SSR 135, No. 1, 41-44 (1989). Reviewer: I.P.Ramadanov MSC: 57R20 11F11 32Q99 58J26 14H52 14M99 57R77 53C80 PDFBibTeX XMLCite \textit{K. D. Kordzaya} and \textit{R. G. Nadiradze}, Soobshch. Akad. Nauk Gruz. SSR 135, No. 1, 41--44 (1989; Zbl 0715.57012)
Vepkhvadze, T. V. Generalized theta-functions with characteristics and representation of integers by positive quadratic forms. (Russian. English summary) Zbl 0635.10019 Soobshch. Akad. Nauk Gruz. SSR 128, No. 3, 465-468 (1987). Reviewer: Meinhard Peters (Münster) MSC: 11E45 11E16 11D04 11F27 PDFBibTeX XMLCite \textit{T. V. Vepkhvadze}, Soobshch. Akad. Nauk Gruz. SSR 128, No. 3, 465--468 (1987; Zbl 0635.10019)
Topchishvili, A. L. On the application of serially convex functions for the analysis of the solvability of systems of separable Diophantine inequalities. (Russian. English summary) Zbl 0629.90071 Soobshch. Akad. Nauk Gruz. SSR 127, No. 1, 49-52 (1987). MSC: 90C25 11D75 PDFBibTeX XMLCite \textit{A. L. Topchishvili}, Soobshch. Akad. Nauk Gruz. SSR 127, No. 1, 49--52 (1987; Zbl 0629.90071)
Uridiya, M. B. On the Hermitian K-theory of rings of algebraic integers. (Russian. English summary) Zbl 0607.18006 Soobshch. Akad. Nauk Gruz. SSR 125, 285-287 (1986). MSC: 18F25 11R70 PDFBibTeX XMLCite \textit{M. B. Uridiya}, Soobshch. Akad. Nauk Gruz. SSR 125, 285--287 (1986; Zbl 0607.18006)
Mandzhgaladze, P. V.; Morozov, A. M. Convolution mod 5 of random quinary digits. (Russian) Zbl 0523.68039 Soobshch. Akad. Nauk Gruz. SSR 110, 369-371 (1983). MSC: 68Q99 11A63 PDFBibTeX XMLCite \textit{P. V. Mandzhgaladze} and \textit{A. M. Morozov}, Soobshch. Akad. Nauk Gruz. SSR 110, 369--371 (1983; Zbl 0523.68039)
Gogishvili, G. P. On the representation of numbers by positive binary quadratic forms. (Russian) Zbl 0507.10013 Soobshch. Akad. Nauk Gruz. SSR 107, 257-260 (1982). MSC: 11E12 11E16 11E41 PDFBibTeX XMLCite \textit{G. P. Gogishvili}, Soobshch. Akad. Nauk Gruz. SSR 107, 257--260 (1982; Zbl 0507.10013)
Varshamov, R. R.; Gamkrelidze, L. I. On a method of construction of primitive polynomials over finite fields. (Russian) Zbl 0467.12020 Soobshch. Akad. Nauk Gruz. SSR 99, 61-64 (1980). MSC: 11T06 PDFBibTeX XMLCite \textit{R. R. Varshamov} and \textit{L. I. Gamkrelidze}, Soobshch. Akad. Nauk Gruz. SSR 99, 61--64 (1980; Zbl 0467.12020)
Sulakvelidze, L. A. On the representation of numbers by some positive ternary quadratic forms. (Russian) Zbl 0375.10011 Soobshch. Akad. Nauk Gruz. SSR 88, 21-24 (1978). MSC: 11E20 PDFBibTeX XMLCite \textit{L. A. Sulakvelidze}, Soobshch. Akad. Nauk Gruz. SSR 88, 21--24 (1978; Zbl 0375.10011)
Walfisz, A. A. The simultaneous representation of two integers by a linear and a quadratic form. (Russian) Zbl 0333.10010 Soobshch. Akad. Nauk Gruz. SSR 82, 305-308 (1976). Reviewer: Kazimierz Szymiczek (Tychy) MSC: 11D45 11D85 11E25 PDFBibTeX XMLCite \textit{A. A. Walfisz}, Soobshch. Akad. Nauk Gruz. SSR 82, 305--308 (1976; Zbl 0333.10010)
Gogisvili, G. P. Über einklassige Geschlechter gewisser ternarer quadratischer Formen. (Russian) Zbl 0326.10019 Soobshch. Akad. Nauk Gruz. SSR 81, 313-315 (1976). MSC: 11E16 11E45 PDFBibTeX XMLCite \textit{G. P. Gogisvili}, Soobshch. Akad. Nauk Gruz. SSR 81, 313--315 (1976; Zbl 0326.10019)
Lomadze, G. A. On the basis of the space of spherical functions of the fourth order with respect to a positive quadratic form. (Russian) Zbl 0258.10007 Soobshch. Akad. Nauk Gruz. SSR 69, 533-536 (1973). Reviewer: Oleg M. Fomenko (St. Peterburg) MSC: 11E16 PDFBibTeX XMLCite \textit{G. A. Lomadze}, Soobshch. Akad. Nauk Gruz. SSR 69, 533--536 (1973; Zbl 0258.10007)
Kipshidze, Z. Sh.; Klimiashvili, M. A.; Faĭn, S. B. Error correction by the polynomial coding method. (Russian. English summary) Zbl 0217.28903 Soobshch. Akad. Nauk Gruz. SSR 63, 397-399 (1971). MSC: 94B40 11T71 PDFBibTeX XMLCite \textit{Z. Sh. Kipshidze} et al., Soobshch. Akad. Nauk Gruz. SSR 63, 397--399 (1971; Zbl 0217.28903)
Kipshidze, Z. Sh.; Klimiashvili, M. A.; Faĭn, S. B. On a class of polynomial codes. (Russian) Zbl 0217.28902 Soobshch. Akad. Nauk Gruz. SSR 62, 29-32 (1971). MSC: 94B40 11T71 PDFBibTeX XMLCite \textit{Z. Sh. Kipshidze} et al., Soobshch. Akad. Nauk Gruz. SSR 62, 29--32 (1971; Zbl 0217.28902)
Kipshidze, Z. Sh.; Klimiashvili, M. A.; Faĭn, S. B. On a polynomial code correcting multiple different power asymmetric errors. (Russian) Zbl 0217.28901 Soobshch. Akad. Nauk Gruz. SSR 61, 561-563 (1971). MSC: 94B40 11T71 PDFBibTeX XMLCite \textit{Z. Sh. Kipshidze} et al., Soobshch. Akad. Nauk Gruz. SSR 61, 561--563 (1971; Zbl 0217.28901)
Khatskevich, V. Kh. On non-orthogonal basic systems of non-positional representations of numbers. (Über nichtorthogonale Basissysteme nichtpositioneller Darstellungen von Zahlen.) (Russian. English summary) Zbl 0213.05302 Soobshch. Akad. Nauk Gruz. SSR 61, 565-568 (1971). Reviewer: Andrzej Mąkowski (Warszawa) MSC: 11A67 11A07 68M07 PDFBibTeX XMLCite \textit{V. Kh. Khatskevich}, Soobshch. Akad. Nauk Gruz. SSR 61, 565--568 (1971; Zbl 0213.05302)
Vepkhvadze, T. V. On the representation of numbers by positive binary quadratic forms of odd discriminant. (Russian) Zbl 0231.10014 Soobshch. Akad. Nauk Gruz. SSR 58, 29-32 (1970). Reviewer: G. A. Lomadze (Tbilisi) MSC: 11E25 11E16 11D85 PDFBibTeX XMLCite \textit{T. V. Vepkhvadze}, Soobshch. Akad. Nauk Gruz. SSR 58, 29--32 (1970; Zbl 0231.10014)
Kogan, L. A. Über eine Verallgemeinerung der Hypothese von A. Weil und die Darstellung von Zahlen vermittels positiver Formen. (Russian) Zbl 0218.10043 Soobshch. Akad. Nauk Gruz. SSR 59, 533-536 (1970). MSC: 11F11 11E12 11G05 14H52 14G15 PDFBibTeX XMLCite \textit{L. A. Kogan}, Soobshch. Akad. Nauk Gruz. SSR 59, 533--536 (1970; Zbl 0218.10043)
Gogishvili, G. P. Über die Anzahl der Darstellungen von Zahlen vermittels positiver quaternärer diagonaler quadratischer Formen. (Russian) Zbl 0218.10034 Soobshch. Akad. Nauk Gruz. SSR 59, 537-540 (1970). MSC: 11E25 PDFBibTeX XMLCite \textit{G. P. Gogishvili}, Soobshch. Akad. Nauk Gruz. SSR 59, 537--540 (1970; Zbl 0218.10034)
Beridze, R. I. On the representation of integers by certain quadratic forms. (Russian) Zbl 0226.10025 Soobshch. Akad. Nauk Gruz. SSR 50, 267-272 (1968). MSC: 11E25 11D85 PDFBibTeX XMLCite \textit{R. I. Beridze}, Soobshch. Akad. Nauk Gruz. SSR 50, 267--272 (1968; Zbl 0226.10025)
Lursmanashvili, A. P. Integral square-free points in multidimensional ellipsoids. (Russian) Zbl 0225.10053 Soobshch. Akad. Nauk Gruz. SSR 49, 3-8 (1968). MSC: 11P21 PDFBibTeX XMLCite \textit{A. P. Lursmanashvili}, Soobshch. Akad. Nauk Gruz. SSR 49, 3--8 (1968; Zbl 0225.10053)
Vephvadze, T. V. Über eine Formel von Ya. V. Uspenskij. (Russian) Zbl 0218.10031 Soobshch. Akad. Nauk Gruz. SSR 46, 301-308 (1967). MSC: 11E25 PDFBibTeX XMLCite \textit{T. V. Vephvadze}, Soobshch. Akad. Nauk Gruz. SSR 46, 301--308 (1967; Zbl 0218.10031)
Gongadze, R. Sh. Über die Darstellung von Zahlen vermittels der Formen \(x^ 2+3y^ 2+4z^ 2+12t^ 2\) und \(x^ 2+2y^ 2+32z^ 2+32t^ 2\). (Russian) Zbl 0218.10029 Soobshch. Akad. Nauk Gruz. SSR 46, 33-40 (1967). MSC: 11E20 11F30 PDFBibTeX XMLCite \textit{R. Sh. Gongadze}, Soobshch. Akad. Nauk Gruz. SSR 46, 33--40 (1967; Zbl 0218.10029)
Lomadze, G. A. On the arithmetic meaning of certain coefficients. (Russian) Zbl 0222.10019 Soobshch. Akad. Nauk Gruz. SSR 41, 257-263 (1966). MSC: 11D85 11B34 11E25 11F27 PDFBibTeX XMLCite \textit{G. A. Lomadze}, Soobshch. Akad. Nauk Gruz. SSR 41, 257--263 (1966; Zbl 0222.10019)
Ananiashvili, G. G.; Varshamov, R. R.; Gorovoĭ, V. P.; Parkhomenko, P. P. On the question of factorization of polynomials over the field \(\mathrm{GF}(2)\). (Zur Frage der Zerlegung von Polynomen über dem Körper \(\mathrm{GF}(2)\).) (Russian) Zbl 0147.29601 Soobshch. Akad. Nauk Gruz. SSR 41, 129-134 (1966). MSC: 11T06 PDFBibTeX XMLCite \textit{G. G. Ananiashvili} et al., Soobshch. Akad. Nauk Gruz. SSR 41, 129--134 (1966; Zbl 0147.29601)
Gogoberidze, M. G. Übersetzung der Zahlen aus einem System von Restklassen in ein Positionszahlensystem. (Russian) Zbl 0144.03804 Soobshch. Akad. Nauk Gruz. SSR 41, 407-414 (1966). Reviewer: M. S. Popadić MSC: 11A63 PDFBibTeX XMLCite \textit{M. G. Gogoberidze}, Soobshch. Akad. Nauk Gruz. SSR 41, 407--414 (1966; Zbl 0144.03804)
Vephvadze, T. V. Über gewisse Liouvillesche Formeln. (Russian) Zbl 0218.10032 Soobshch. Akad. Nauk Gruz. SSR 40, 279-286 (1965). MSC: 11E25 PDFBibTeX XMLCite \textit{T. V. Vephvadze}, Soobshch. Akad. Nauk Gruz. SSR 40, 279--286 (1965; Zbl 0218.10032)
Beridze, R. I. Über die Summierung einer singulären Reihe von Hardy-Littlewood. (Russian) Zbl 0147.30401 Soobshch. Akad. Nauk Gruz. SSR 38, 529-534 (1965). MSC: 11P55 11P05 11E20 PDFBibTeX XMLCite \textit{R. I. Beridze}, Soobshch. Akad. Nauk Gruz. SSR 38, 529--534 (1965; Zbl 0147.30401)
Walfisz, A. A. On the sums of the coefficients of certain Dirichlet series. (Über die Summen der Koeffizienten gewisser Dirichletscher Reihen.) (Russian) Zbl 0136.33204 Soobshch. Akad. Nauk Gruz. SSR 26, 9-16 (1961). Reviewer: T. Šaát MSC: 11M06 PDFBibTeX XMLCite \textit{A. A. Walfisz}, Soobshch. Akad. Nauk Gruz. SSR 26, 9--16 (1961; Zbl 0136.33204)
Walfisz, Anna On the theory of a class of Dirichlet series. (Russian) Zbl 0122.05003 Soobshch. Akad. Nauk Gruz. SSR 27, 9-16 (1961). MSC: 11E45 11M41 PDFBibTeX XMLCite \textit{A. Walfisz}, Soobshch. Akad. Nauk Gruz. SSR 27, 9--16 (1961; Zbl 0122.05003)
Walfisz, Anna On the representation of numbers as sums of generalized pentagonal numbers. (Russian) Zbl 0092.04702 Soobshch. Akad. Nauk Gruz. SSR 22, 385-392 (1959). Reviewer: Karl Prachar (Wien) MSC: 11D85 PDFBibTeX XMLCite \textit{A. Walfisz}, Soobshch. Akad. Nauk Gruz. SSR 22, 385--392 (1959; Zbl 0092.04702)
Lursmanashvili, A. P. Über die Anzahl der Gitterpunkte in mehrdimensionalen Kugeln ungerader Dimension. (Russian) Zbl 0052.28006 Soobshch. Akad. Nauk Gruz. SSR 14, 513-520 (1953). Reviewer: J. W. S. Casssels MSC: 11P21 PDFBibTeX XMLCite \textit{A. P. Lursmanashvili}, Soobshch. Akad. Nauk Gruz. SSR 14, 513--520 (1953; Zbl 0052.28006)