National Institute of Technology Rourkela

राष्ट्रीय प्रौद्योगिकी संस्थान राउरकेला

ଜାତୀୟ ପ୍ରଯୁକ୍ତି ପ୍ରତିଷ୍ଠାନ ରାଉରକେଲା

An Institute of National Importance

Seminar Details

Seminar Title:
Characterization of k−generalized Fibonacci numbers as concatenations and differences of repdigits
Seminar Type:
Progress Seminar
Department:
Mathematics
Speaker Name:
Monalisa Mohapatra ( Rollno : 522ma1004)
Speaker Type:
Student
Venue:
Mathematics Department Seminar Room
Date and Time:
06 Feb 2025 11.15 am
Contact:
Prof. Gopal Krishna Panda
Abstract:

The k-Fibonacci sequence is a generalization of the classic Fibonacci sequence with some fixed integer k &ge 2. This study focuses on identifying all k-Fibonacci numbers that can be represented as the concatenation of three repdigits and all the k-Fibonacci numbers that can be expressed as differences of two repdigits. The proof involves the application of Baker&rsquos theory of linear forms in logarithms of algebraic numbers and the Baker-Davenport reduction procedure. 

Keywords: k&minusGeneralized Fibonacci numbers, repdigits, linear forms in logarithms, Baker-Davenport reduction method