Weyl's inequality (number theory)
id:
weyl-s-inequality-number-theory-298-12860601
title:
Weyl's inequality (number theory)
text:
In number theory, Weyl's inequality, named for Hermann Weyl, states that if M, N, a and q are integers, with a and q coprime, q > 0, and f is a real polynomial of degree k whose leading coefficient c satisfies for some t greater than or equal to 1, then for any positive real number ε one has This inequality will only be useful when for otherwise estimating the modulus of the exponential sum by means of the triangle inequality as ≤ N provides a better bound.
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encyclopedia
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https://en.wikipedia.org/wiki/Weyl%27s_inequality_(number_theory)
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date modified:
2023-12-30T20:49:25Z
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