Geodesic
A generalization of Smirnov's formula for the distribution functions of quadratic forms
Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 3, pp. 614-620

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Smirnov's formula (2) for the distribution functions of quadratic forms (1) with different coefficients is generalized for the case when some of them are equal. 
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     author = {G. V. Martynov},
     title = {A generalization of {Smirnov's} formula for the distribution functions of quadratic forms},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
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     publisher = {mathdoc},
     volume = {22},
     number = {3},
     year = {1977},
     language = {ru},
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G. V. Martynov. A generalization of Smirnov's formula for the distribution functions of quadratic forms. Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 3, pp. 614-620. http://geodesic.mathdoc.fr/item/TVP_1977_22_3_a16/