Upper bounds for the number of solutions for the Diophantine equation $y^{2}=px( Ax^{2}-C) $ $(C=2,\pm 1,\pm 4) $
نویسندگان
چکیده
منابع مشابه
Upper Bounds for the Number of Solutions of a Diophantine Equation
We give upper bound estimates for the number of solutions of a certain diophantine equation. Our results can be applied to obtain new lower bound estimates for the L1-norm of certain exponential sums.
متن کاملSolutions of the Diophantine Equation AA + B 4 = C 4 +
A survey is presented of the more important solution methods of the equation of the title. When space permits, a brief description of the methods and numerical examples are also given. The paper concludes with an incomplete list of 218 primitive nontrivial solutions in rational integers not exceeding 106.
متن کاملON THE DIOPHANTINE EQUATION Ax2+22m =yn
Let h denote the class number of the quadratic field Q( √−A) for a square free odd integer A> 1, and suppose that n> 2 is an odd integer with (n,h)= 1 and m> 1. In this paper, it is proved that the equation of the title has no solution in positive integers x and y if n has any prime factor congruent to 1 modulo 4. If n has no such factor it is proved that there exists at most one solution with ...
متن کاملstudy of cohesive devices in the textbook of english for the students of apsychology by rastegarpour
this study investigates the cohesive devices used in the textbook of english for the students of psychology. the research questions and hypotheses in the present study are based on what frequency and distribution of grammatical and lexical cohesive devices are. then, to answer the questions all grammatical and lexical cohesive devices in reading comprehension passages from 6 units of 21units th...
the use of appropriate madm model for ranking the vendors of mci equipments using fuzzy approach
abstract nowadays, the science of decision making has been paid to more attention due to the complexity of the problems of suppliers selection. as known, one of the efficient tools in economic and human resources development is the extension of communication networks in developing countries. so, the proper selection of suppliers of tc equipments is of concern very much. in this study, a ...
15 صفحه اولذخیره 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: Colloquium Mathematicum
سال: 2020
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm7704-3-2019