Linear equations in integers with bounded sum of digits
β Scribed by Hans Peter Schlickewei
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 451 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0022-314X
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π SIMILAR VOLUMES
Consider all the integers not exceeding x with the property that in the system number to base g all their digits belong to a given set D/[0, 1, ..., g, &1]. The distribution of these integers in residue classes to ``not very large'' moduli is studied. 1998 Academic Press SECTION 1 Throughout this pa
## Abstract As a basic example, we consider the porous medium equation (__m__ > 1) equation image where Ξ© β β^__N__^ is a bounded domain with the smooth boundary βΞ©, and initial data $u\_0 \thinspace \varepsilon L^{\infty} \cap L^{1}$. It is wellβknown from the 1970s that the PME admits separable
A set A [1, ..., N] is of the type B 2 if all sums a+b, with a b, a, b # A, are distinct. It is well known that the largest such set is of size asymptotic to N 1Γ2 . For a B 2 set A of this size we show that, under mild assumptions on the size of the modulus m and on the difference N 1Γ2 &| A | (the