Regularized sums of zeros of a class of entire functions

Ya. D. Tamarkin, Some General Problems in the Theory of Ordinary Differential Equations [in Russian], Petrograd (1917). I. M. Gel'fand and B. M. Levitan, A simple identity for characteristic values of a second order differential operator, DAN SSSR,88, No. 4, 593–596 (1953). I. M. Gel'fand, Identities for characteristic values of a second order differential operator, UMN,11, No. 1, 191 (1956). L. A. Dikii, Trace formulas for Sturm-Liouville differential operators, UMN,13, No. 3, 111–143 (1958). J. Horn, Verwendung asymptotischer Darstellunge, Math. Ann.,49, 473–496 (1897). V. F. Zhdanovich, Formulas for the zeros of Dirichlet polynomials and quasipolynomials, DAN SSSR, 135, No. 5 (1960).