On Arithmetic Properties of Integers with Missing Digits I: Distribution in Residue Classes
نویسندگان
چکیده
منابع مشابه
On Binary Representations of Integers with Digits
Güntzer and Paul introduced a number system with base 2 and digits −1, 0, 1 which is characterized by separating nonzero digits by at least one zero. We find an explicit formula that produces the digits of the expansion of an integer n which leads us to many generalized situations. Syntactical properties of such representations are also discussed. 1. A binary number system Integers n can be wri...
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15 صفحه اولExploring Properties of Residue Classes
We report on an experiment in exploring properties of residue classes over the integers with the combined e ort of a multi-strategy proof planner and two computer algebra systems. An exploration module classies a given set and a given operation in terms of the algebraic structure they form. It then calls the proof planner to prove or refute simple properties of the operation. Moreover, we use d...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 1998
ISSN: 0022-314X
DOI: 10.1006/jnth.1998.2229