Conditional expanding bounds for two-variable functions over prime fields
نویسندگان
چکیده
منابع مشابه
Conditional expanding bounds for two-variable functions over finite valuation rings
In this paper, we use methods from spectral graph theory to obtain some results on the sum-product problem over finite valuation rings R of order qr which generalize recent results given by Hegyvári and Hennecart (2013). More precisely, we prove that, for related pairs of two-variable functions f(x, y) and g(x, y), if A and B are two sets in R∗ with |A| = |B| = qα, then max {|f(A,B)|, |g(A,B)|}...
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Article history: Received 30 March 2011 Accepted 18 February 2013 Available online 15 March 2013
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ژورنال
عنوان ژورنال: European Journal of Combinatorics
سال: 2013
ISSN: 0195-6698
DOI: 10.1016/j.ejc.2013.05.021