Sign up ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

Hi, overflowers.

I was interested in a sharp lower bound for the number of lattice points (say, integral lattice points) inside the tetrahedron defined by the coordinate hyperplanes and $x_1/a_1+...+x_n/a_n=1$, with $a_1,...,a_n \in {\mathbf R}$ (rational coefficients may be enough, although I think it doesn't help a lot).

I know there is a good upper bound from the "rough part" of so-called GLY conjecture, which has already been proved by Yau & Zhang; but I just can't find a similar result for lower bounds.

Thanks a lot.

share|cite|improve this question

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.