Please use this identifier to cite or link to this item: http://ithesis-ir.su.ac.th/dspace/handle/123456789/3040
Title: Various Problems Concerning Factorials, Binomial Coefficients, Fibonomial Coefficients, and Palindromes
ปัญหาต่างๆที่เกี่ยวข้องกับแฟกทอเรียล สัมประสิทธิ์ทวินาม สัมประสิทธิ์ฟีโบโนเมียล และพาลินโดรม
Authors: Phakhinkon PHUNPHAYAP
ภคินกร พูนพายัพ
Prapanpong Pongsriiam
ประพันธ์พงศ์ พงศ์ศรีเอี่ยม
Silpakorn University. Science
Keywords: binomial coefficient
Fibonacci number
Fibonomial coefficient
p-adic valuation
p-adic order
divisibility
palindrome
palindromic number
reciprocal
asymptotic
log-concave
Issue Date:  18
Publisher: Silpakorn University
Abstract: In this thesis, we study on various problems concerning factorials, bonomial coefficients, Fibonomial coefficients, and palindrome. We calculate the p-adic valuations of certain factorials and apply them to express the p-adic valuations of Fibonomial coefficient in terms of the p-adic valuations of some binomial coefficients. This lead us to obtain explicit formula for the p-adic valuations of Fibonomial coefficients and the related divisibility of Fibonomial coefficients. In addition, we also evaluate a upper bounds, lower bounds, and asymptotic formulas for reciprocal sum of palindromes.
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Description: Doctor of Philosophy (Ph.D.)
ปรัชญาดุษฎีบัณฑิต (ปร.ด.)
URI: http://ithesis-ir.su.ac.th/dspace/handle/123456789/3040
Appears in Collections:Science

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