Some Remarks on a Problem of Chowla
نویسنده
چکیده
Cette conjecture fut par la suite prouvée et généralisée par Baker, Birch et Wirsing. Dans leur article conjoint, Baker, Birch et Wirsing affirment que Chowla a aussi résolu le cas particulier que ce dernier a énoncé, mais ne donnent aucune indication sur le genre de démonstration effectuée. En nous basant sur certains articles préalablement écrits par Chowla, nous essayons de reconstruire ce qui aurait pu avoir été la preuve de cette conjecture par Chowla. Nous en profitons pour indiquer comment cette preuve peut être modifiée pour déduire le résultat général de Baker, Birch et Wirsing.
منابع مشابه
SOME REMARKS ON WEAKLY INVERTIBLE FUNCTIONS IN THE UNIT BALL AND POLYDISK
We will present an approach to deal with a problem of existence of (not) weakly invertible functions in various spaces of analytic functions in the unit ball and polydisk based on estimates for integral operators acting between functional classes of different dimensions.
متن کاملSome remarks on Artemisia subgenus Serephidium (Asteraceae) mostly from Afghanistan
When worked out the treatment of Artemisia for Flora Iranica, in several cases no good, determinable material was available, especially from outside of Afghanistan, namely, Iran and the neighbouring Middle Asian regions. This was especially a problem for species of the homogamous group Serephidium. During the work on very rich new material of this group from Iran, collected by V. Mozaffarian (T...
متن کاملSOME REMARKS ON ALMOST UNISERIAL RINGS AND MODULES
In this paper we study almost uniserial rings and modules. An R−module M is called almost uniserial if any two nonisomorphic submodules are linearly ordered by inclusion. A ring R is an almost left uniserial ring if R_R is almost uniserial. We give some necessary and sufficient condition for an Artinian ring to be almost left uniserial.
متن کاملRemarks on the Paper ``Coupled Fixed Point Theorems for Single-Valued Operators in b-Metric Spaces''
In this paper, we improve some recent coupled fixed point resultsfor single-valued operators in the framework of ordered $b$-metricspaces established by Bota et al. [M-F. Bota, A. Petrusel, G.Petrusel and B. Samet, Coupled fixed point theorems forsingle-valued operators in b-metric spaces, Fixed Point TheoryAppl. (2015) 2015:231]. Also, we prove that Perov-type fix...
متن کاملSome remarks on generalizations of classical prime submodules
Let $R$ be a commutative ring with identity and $M$ be a unitary $R$-module. Suppose that $phi:S(M)rightarrow S(M)cup lbraceemptysetrbrace$ be a function where $S(M)$ is the set of all submodules of $M$. A proper submodule $N$ of $M$ is called an $(n-1, n)$-$phi$-classical prime submodule, if whenever $r_{1},ldots,r_{n-1}in R$ and $min M$ with $r_{1}ldots r_{n-1}min Nsetminusphi(N)$, then $r_{1...
متن کامل