A counterexample to a conjecture of Mahler on best $p$-adic Diophantine approximation constants
نویسندگان
چکیده
منابع مشابه
Simultaneous Diophantine Approximation in Non-degenerate p-adic Manifolds
S-arithmetic Khintchine-type theorem for products of non-degenerate analytic p-adic manifolds is proved for the convergence case. In the padic case the divergence part is also obtained. 1
متن کاملA Counterexample to Borsuk's Conjecture
Let f(d) be the smallest number so that every set in Rd of diameter 1 can be partitioned into f(d) sets of diameter smaller than 1. Borsuk's conjecture was that f(d)=d+\ . We prove that f(d)>(\.2)^ for large d.
متن کاملA Counterexample to a Conjecture of Barr
We discuss two versions of a conjecture attributed to M Barr The Harrison cohomology of a commutative algebra is known to coincide with the Andr e Quillen cohomology over a eld of characteristic zero but not in prime characteristics The conjecture is that a modi ed version of Harrison cohomology taking into account torsion always agrees with Andr e Quillen cohomology We give a counterexample De...
متن کاملA counterexample to a conjecture of Schwartz
In 1990, motivated by applications in the social sciences, Thomas Schwartz made a conjecture about tournaments which would have had numerous attractive consequences. In particular, it implied that there is no tournament with a partition A,B of its vertex set, such that every transitive subset of A is in the out-neighbour set of some vertex in B, and vice versa. But in fact there is such a tourn...
متن کاملON THE BIRATIONAL p-ADIC SECTION CONJECTURE
In this manuscript we introduce/prove a Z/p meta-abelian form of the birational p-adic Section Conjecture for curves. This is a much stronger result than the usual p-adic birational Section Conjecture for curves, and makes an effective p-adic Section Conjecture for curves quite plausible.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1985
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1985-0804950-3