Ronkin, A. L. Extraction of root of exponential sums. (English) Zbl 0633.30006 Sib. Math. J. 28, No. 3, 505-510 (1987). Translation from Sib. Mat. Zh. 28, No.3(163), 193-198 (Russian) (1987; Zbl 0624.30004). Cited in 2 Reviews MSC: 30B50 Dirichlet series, exponential series and other series in one complex variable Keywords:quasipolynomial; Selberg problem Citations:Zbl 0596.30039; Zbl 0624.30004 PDFBibTeX XMLCite \textit{A. L. Ronkin}, Sib. Math. J. 28, No. 3, 505--510 (1987; Zbl 0633.30006) Full Text: DOI References: [1] H. L. Selberg, Einige Darstellungssatze aus der Theorie der ganzen Functionen endlicher Ordnung, J. Mat. Naturvid. Klasse,10, No. 1, 7-15 (1934). [2] G. F. Ritt, ?Algebraic combinations of exponentials,? Trans. Am. Math. Soc.,31, 654-679 (1929). · JFM 55.0211.03 [3] A. Shields, ?On quotients of exponential polynomials,? Commun. Pure. Appl. Math.,16, No. 1, 27-31 (1963). · Zbl 0113.05404 [4] A. Ya. Gordon and B. Ya. Levin, ?On the division of quasipolynomials,? Funkts. Anal. Prilozhen.,5, No. 1, 22-29 (1971). [5] V. Avanissian and R. Gay, ?Sur une transformation des fonctionnelles analytiques et ses applications aux fonctions entières de plusieurs variables,? Bull. Soc. Math. France,103, No. 3, 341-384 (1975). · Zbl 0317.32003 [6] C. A. Berenstein and M. A. Dostal, ?The Ritt’s theorem in several variables,? Ark. Math.,12, No. 2, 267-280 (1974). · Zbl 0293.33001 [7] A. L. Ronkin, ?On quasipolynomials,? Funkts. Anal. Prilozhen.,12, No. 4, 93-94 (1978). [8] A. L. Ronkin, ?A theorem on the division of quasipolynomials,? Teor. Funktsii, Funktsion. Anal. Prilozhen.,34, 104-111 (1980). [9] A. L. Ronkin, ?On the irreducibility of quasipolynomials,? Teor. Funktsii, Funktsion. Anal. Prilozhen.,39, 106-109 (1983). [10] B. Ya. Levin and A. L. Ronkin, ?Asymptotic series and algebroid functions,? Dokl. Akad. Nauk SSSR,280, No. 2, 288-291 (1985). · Zbl 0596.30039 [11] N. V. Govorov, ?The Riemann boundary-value problem with infinite index of exponential order less than 1/2,? Teor. Funktsii, Funktsion. Anal. Prilozhen.,6, 151-176 (1968). · Zbl 0201.09402 [12] E. C. Titchmarsh, Theory of Functions, Oxford Univ. Press, London (1958). [13] A. N. Titov, ?On the determination of the convolution of identical distribution functions from the values of a halfline,? Teor. Veroyatn. Primen.,26, No. 3, 610-611 (1981). · Zbl 0466.60021 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.