Displaying similar documents to “Littelmann's refined Demazure character formula revisited.”

Three two-dimensional Weyl steps in the circle problem I. The Hessian determinant

Ulrike M. A. Vorhauer, Eduard Wirsing (1999)

Acta Arithmetica

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1. Summary. In a sequence of three papers we study the circle problem and its generalization involving the logarithmic mean. Most of the deeper results in this area depend on estimates of exponential sums. For the circle problem itself Chen has carried out such estimates using three two-dimensional Weyl steps with complicated techniques. We make the same Weyl steps but our approach is simpler and clearer. Crucial is a good understanding of the Hessian determinant that appears...

On addition of two distinct sets of integers

Vsevolod F. Lev, Pavel Y. Smeliansky (1995)

Acta Arithmetica

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What is the structure of a pair of finite integers sets A,B ⊂ ℤ with the small value of |A+B|? We answer this question for addition coefficient 3. The obtained theorem sharpens the corresponding results of G. Freiman.