Pregled bibliografske jedinice broj: 755275
Linear Forms in Logarithms
Linear Forms in Logarithms // Four Faces of Number Theory: Diophantine Analysis
Würzburg, Njemačka, 2014. (pozvano predavanje, međunarodna recenzija, cjeloviti rad (in extenso), ostalo)
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Naslov
Linear Forms in Logarithms
Autori
Bujačić, Sanda
Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), ostalo
Izvornik
Four Faces of Number Theory: Diophantine Analysis
/ - , 2014
Skup
Four Faces of Number Theory: Diophantine Analysis
Mjesto i datum
Würzburg, Njemačka, 21.07.2014. - 26.07.2014
Vrsta sudjelovanja
Pozvano predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
transcendental numbers; algebraic numbers; linear forms in logarithms
Sažetak
I am dealing with basic definitions of crucial mathematical concepts in linear forms in logarithms and I introduce most important theorems and proofs during five lectures. Also, I introduce some Baker type inequalities available today which are easy to apply. In order to illustrate this very important machinery I introduce some examples. I show that the largest Fibonacci number having only one repeated digit in its decimal expression is 55 and I show that d = 120 is the largest positive integer such that {; ; d+ 1, 3d+ 1, 8d+ 1}; ; are all three perfect squares.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-6422 - Diofantove m-torke, eliptičke krivulje, Thueove i indeksne jednadžbe (DIOPHANTINE) (Dujella, Andrej, HRZZ - 2013-11) ( CroRIS)
Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku
Profili:
Sanda Bujačić Babić
(autor)