In this paper we discuss about properties of lattices and its application in theoretical and algorithmic number theory. This result of Minkowski regarding the lattices initiated the subject of Geometry of Numbers, which uses geometry to study the properties of algebraic numbers....
Open access
Research Article10.9734/arjom/2021/v17i330284
A number that can’t be expressed as the ratio of two integers is called an irrational number. Euler and Lambert were the first mathematicians to prove the irrationality and transcendence of e. Since then there have been many other proofs of irrationality and transcendence of e an...
Open access
Research Article10.9734/arjom/2021/v17i230277
The article derives the probability for lethal recessive alleles in the case of recessive disadvantage or advantage. It is shown that recessive advantage of a lethal gene can be detected by the ratio of heterozygotes and homozygotes. This demonstrates that higher IQ of certain et...
Open access
Research Article10.9734/arrb/2021/v36i630391
Empirical evidence in support of generalizations of Fermat's equation is presented. The empirical evidence consists mainly of results for the p = 3 case where Fermat's Last Theorem is almost false. The empirical evidence also consists of results for general p values. The \pth pow...
Open access
Research Article10.9734/jamcs/2021/v36i530361