Geodesic
On the number of integral polynomials of given degree and bounded height with small value of derivative at root of polynomial
Trudy Instituta matematiki, Tome 22 (2014) no. 2, pp. 3-8

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In the article are obtained upper estimations for the number of integral polynomials of arbitrarily degree and bounded height with small values of derivatives at the root of polynomials. 
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     author = {V. I. Bernik and D. V. Vasiliev and A. S. Kudin},
     title = {On the number of integral polynomials of given degree and bounded height with small value of derivative at root of polynomial},
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V. I. Bernik; D. V. Vasiliev; A. S. Kudin. On the number of integral polynomials of given degree and bounded height with small value of derivative at root of polynomial. Trudy Instituta matematiki, Tome 22 (2014) no. 2, pp. 3-8. http://geodesic.mathdoc.fr/item/TIMB_2014_22_2_a0/