Estimation of p-adic sizes of common zeros of partial derivatives associated with a cubic form

In this paper we determined the estimate of p-adic sizes of common zeros of partial derivative polynomials associated with a cubic form whose indicator diagrams have one overlapping segment by using Newton polyhedron technique. We showed that the p-adic sizes of such common zeros can be found explicitly on the overlapping segment of the indicator diagrams associated with the polynomials

Solutions to the Diophantine Equation x2 + 16 ∙ 7b = y2r

We present a method of determining integral solutions to the equation x2 + 16 ∙ 7b = y2r, where x, y, b, r ∈ ℤ+. We observe that the results can be classified into several categories. Under each category, a general formula is obtained using the geometric progression method. We then provide the bound for the number of non-negative integral solutions associated with each b. Lastly, the general formula for each of the categories is obtained and presented to determine the respective values of x and yr. We also highlight two special cases where different formulae are needed to represent their integral solutions. © Copyright Yow. This article is distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use and redistribution provided that the original author and source are credited.11Nscopu

Peranan Notaris Dalam Proses Alih Kredit Pemilikan Rumah (KPR) Pada Bank Rakyat Indonesia di Kota Surakarta

This research aims to determine the notary� s roles in issuing act relating to over credit for home ownership at the Bank Rakyat Indonesia Branch of Surakarta, the notary�s accountability in the event of default, and the legal consequences caused by the over credit for home ownership in Surakarta . This is a juridical empirical study. And this study has field research conducted to obtain primary data in the field of law, supported by interviewing competent persons to collect secondary data. Then, the data is analyzed qualitatively and described descriptively. Notary is an officer in charge of issuing authentic act. And notary also has authority to do so. The act will be the most perfect evidence. That is why it must be issued under the prevailing regulations. In credit, the notary may not refuse to issue the necessary act, unless there are fundamental reasons. In making process of act of agreement on the over credit for home ownership, notary must, however, pay attention to the prevailing rules and norms. In the process of over credit for home ownership, notary plays some important roles such as act of sale and purchase, letter of credit payment authorization and powers of attorney to take the certificate. These act will be the basis for settlement in the event of default. The legal consequences of the over credit agreement not only transfer the debt from the old to new debtors but also transfer the house as collateral in which it still exists as the collateralmortgage lender