Geodesic
A necessary condition for moments of the number of zeros of a differentiable Guassian stationary process to le inite
Teoriâ veroâtnostej i ee primeneniâ, Tome 19 (1974) no. 3, pp. 596-603 Cet article a éte moissonné depuis la source Math-Net.Ru

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A necessary condition is given (theorem 1) for moments $N_m$ of the number of zeros of a differentiable Gaussian stationary process to be finite. Theorem 2 answers to the question whether moment $N_m<\infty$ or $=\infty$ by comparison of the correlation function ot $\xi_t$ with that of another process for which this problem has been already solved. 
@article{TVP_1974_19_3_a11,
     author = {R. N. Miroshin},
     title = {A necessary condition for moments of the number of zeros of a differentiable {Guassian} stationary process to le inite},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {596--603},
     year = {1974},
     volume = {19},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1974_19_3_a11/}
}
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R. N. Miroshin. A necessary condition for moments of the number of zeros of a differentiable Guassian stationary process to le inite. Teoriâ veroâtnostej i ee primeneniâ, Tome 19 (1974) no. 3, pp. 596-603. http://geodesic.mathdoc.fr/item/TVP_1974_19_3_a11/