VOL. 46 · NO. 1 | March 2012
 
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Articles
Zhongfeng Zhang
Funct. Approx. Comment. Math. 46 (1), 7-13, (March 2012) DOI: 10.7169/facm/2012.46.1.1
KEYWORDS: powers, the greatest prime factor, ABC conjecture, 11D25, 11D61
Pavlos Tzermias
Funct. Approx. Comment. Math. 46 (1), 15-27, (March 2012) DOI: 10.7169/facm/2012.46.1.2
KEYWORDS: Cauchy-Liouville-Mirimanoff polynomials, factorization, Fermat curves, hypergeometric polynomials, ternary recurrences, powerful numbers, 11R09, 12E30, 11G30, 11B37, 33A3
K. Sushan Bairy, S. Chandankumar, M.S. Mahadeva Naika
Funct. Approx. Comment. Math. 46 (1), 29-44, (March 2012) DOI: 10.7169/facm/2012.46.1.3
KEYWORDS: Cubic continued fraction, Modular equation, Theta-function, 33D10, 11A55, 11F27
Abdelmejid Bayad, Yoshinori Hamahata
Funct. Approx. Comment. Math. 46 (1), 45-61, (March 2012) DOI: 10.7169/facm/2012.46.1.4
KEYWORDS: multiple polylogarithms, zeta function, multi-poly-Bernoulli numbers and polynomials, 11B68, 11G55, 11M32
Minking Eie, Chuan-Sheng Wei
Funct. Approx. Comment. Math. 46 (1), 63-77, (March 2012) DOI: 10.7169/facm/2012.46.1.5
KEYWORDS: Euler sums, Hurwitz zeta function, stuffle formulae, multiple zeta value, 40A25, 40B05, 11M99, 33E99
Kazuhito Kozuka
Funct. Approx. Comment. Math. 46 (1), 79-89, (March 2012) DOI: 10.7169/facm/2012.46.1.6
KEYWORDS: Dedekind sums, Knopp's formula, 11F20
Kent D. Boklan, Trevor D. Wooley
Funct. Approx. Comment. Math. 46 (1), 91-107, (March 2012) DOI: 10.7169/facm/2012.46.1.7
KEYWORDS: exponential sums, Waring's Problem, Hardy-Littlewood method, 11L15, 11L07, 11P05, 11P55
Alexandru Gica, Florian Luca
Funct. Approx. Comment. Math. 46 (1), 109-116, (March 2012) DOI: 10.7169/facm/2012.46.1.8
KEYWORDS: Diophantine equations, applications of Baker's method, 11D61, 11J70, 11J86
Mohammad Sadek
Funct. Approx. Comment. Math. 46 (1), 117-131, (March 2012) DOI: 10.7169/facm/2012.46.1.9
KEYWORDS: Genus one curves, minimal models of curves, genus one equations of degree $n$, 11G20, 14H50
Jonathan Reynolds
Funct. Approx. Comment. Math. 46 (1), 133-145, (March 2012) DOI: 10.7169/facm/2012.46.1.10
KEYWORDS: elliptic divisibility sequence, perfect powers, Fermat equation, 11G05, 11D41
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