The zeros of exponential polynomials (I)
Moreno, Carlos Julio
Compositio Mathematica, Tome 27 (1973), p. 69-78 / Harvested from Numdam
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     author = {Moreno, Carlos Julio},
     title = {The zeros of exponential polynomials (I)},
     journal = {Compositio Mathematica},
     volume = {27},
     year = {1973},
     pages = {69-78},
     mrnumber = {318460},
     zbl = {0267.33001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CM_1973__26_1_69_0}
}

Moreno, Carlos Julio. The zeros of exponential polynomials (I). Compositio Mathematica, Tome 27 (1973) pp. 69-78. http://gdmltest.u-ga.fr/item/CM_1973__26_1_69_0/

A.S. Besicovitch [1] Almost periodic functions, Cambridge Univ. Press, Cambridge 1932. | JFM 58.0264.02 | Zbl 0004.25303

H. Bohr [2] Almost periodic functions; Chelsea Publishing Company, New York, 1947. | MR 20163

J. Cassels [3] An introduction to diophantine approximations, Cambridge Univ. Press, Cambridge, 1957. | MR 87708 | Zbl 0077.04801

D. Dickson [4] (a) Zeros of Exponential sums; Proc. Amer. Math. Soc. vol. 73, pp. 84-89, 1965. (b) The asymptotic distribution of zeros of exponential sums; Publ. Math. Debrecen, 11, 295-300 (1964). | MR 171903 | Zbl 0136.06103

L. Ehrenpreis [5] Fourier analysis in several complex variables, Wiley-Interscience, New York, 1970. | MR 285849 | Zbl 0195.10401

R.E. Langer [6] On the zeros of exponential sums and integrals; Bull. Amer. Math. Soc. 37, 213-239 (1931). | JFM 57.0416.04 | Zbl 0001.34403

C. Moreno [7] Zeros of exponential polynomials (to appear).

G. Pólya [8] Geometrisches über die Verteilung der Nullstellen gewisser ganzer Transzendenter Funktionen; Münch. Sitzungsber., 50, 285-290 (1920). | JFM 47.0303.04

J. Tamarkin [9] Some general problems in the theory of ordinary differential operations, Math. Zeit., vol. 27, (1927) p. 24. | JFM 53.0419.02

R. Tijdeman [10] On the number of zeros of general exponential polynomials; Thesis, Univ. of Amsterdam, The Netherlands, 1969.

P. Turán [11] On the distribution of zeros of general exponential polynomials; Publ. Math. Debrecen, 7, 130-136 (1960). | MR 156951 | Zbl 0096.03001

C. Wilder [12] Expansion problems for ordinary linear differential equations, etc., Trans. of Math. Soc. vol. 18 (1917) pp. 415-442. | JFM 46.0697.02 | MR 1501077