SOME RECENT ADVANCES IN NUMBER THEORY
Journal Title: Journal of Ramanujan Society of Mathematics and Mathematical Sciences - Year 2017, Vol 6, Issue 1
Abstract
1. RSA Algorithm} & -1977 \\ 2. Andrew Wiles-FLT}& -1995 \\ 3. AKS Primality Test} & -2002 \\ 4. Terence-Tao AP \& Primes} & -2006 \\ 5. Yitang Zhang-``Bounded Gaps"} & -2011
Authors and Affiliations
PV Arunachalam
DECIMAL EXPANSIONS: THEIR UNIQUENESS AND INTERESTING PATTERNS
An expression of the form o.abcd... written by arbitrarily picking up a, b, c, d ... from among 0 to 9, cannot be taken to represent the decimal expansion of a real number. In fact, the decimal expansion of every irratio...
A DIRECT PROOF OF THE AAB-BAILEY LATTICE
The purpose of this paper is to give a direct proof of AAB-Bailey lattice.
SOME RECENT ADVANCES IN NUMBER THEORY
1. RSA Algorithm} & -1977 \\ 2. Andrew Wiles-FLT}& -1995 \\ 3. AKS Primality Test} & -2002 \\ 4. Terence-Tao AP \& Primes} & -2006 \\ 5. Yitang Zhang-``Bounded Gaps"} & -2011
ON CONTINUED FRACTIONS AND LAMBERT SERIES
In this paper, we have established certain results involving continued fractions and Lambert series.
A VARIANT OF THE TYPE-1 BETA AND DIRICHLET INTEGRALS
A double integral, which can be taken as an extension of a type-1 beta integral, is introduced and its properties are studied. Than a $k$-variate multiple integral on a unit cube in Euclidean $k$-space is introduced, whi...