VOL. 47 · NO. 1 | September 2012
 
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Articles
Cristian Virdol
Funct. Approx. Comment. Math. 47 (1), 7-13, (September 2012) DOI: 10.7169/facm/2012.47.1.1
KEYWORDS: L-functions, base change, special values, Hilbert modular forms, 11F41, 11F80, 11R42, 11R80
Matthias Kunik, Lutz G Lucht
Funct. Approx. Comment. Math. 47 (1), 15-33, (September 2012) DOI: 10.7169/facm/2012.47.1.2
KEYWORDS: trigonometric series over primes, explicit formulas, Arithmetic functions, Ramanujan sums, Hardy spaces, 11L20, 11M06, 30J99
Akinari Hoshi
Funct. Approx. Comment. Math. 47 (1), 35-49, (September 2012) DOI: 10.7169/facm/2012.47.1.3
KEYWORDS: sextic Thue equations, simplest sextic fields, field isomorphism problem, multi-resolvent polynomial, 11D41, 11D59, 11R20, 11Y40, 12F10
Shanta Laishram, Tarlok N Shorey
Funct. Approx. Comment. Math. 47 (1), 51-64, (September 2012) DOI: 10.7169/facm/2012.47.1.4
KEYWORDS: irreducibility, Hermite-Laguerre polynomials, arithmetic progressions, primes, 11A41, 11B25, 11N05, 11N13, 11C08, 11Z05
Kit-Ho Mak, Alexandru Zaharescu
Funct. Approx. Comment. Math. 47 (1), 65-78, (September 2012) DOI: 10.7169/facm/2012.47.1.5
KEYWORDS: Poisson distribution, hyperelliptic curves, 11G20, 11T99
Haseo Ki, Yoonbok Lee
Funct. Approx. Comment. Math. 47 (1), 79-87, (September 2012) DOI: 10.7169/facm/2012.47.1.6
KEYWORDS: Zeros, derivatives, Riemann zeta function., 11M06, 11M26
Naoki Murabayashi
Funct. Approx. Comment. Math. 47 (1), 89-93, (September 2012) DOI: 10.7169/facm/2012.47.1.7
KEYWORDS: modularity, CM elliptic curves, torsion points., 11G15, 11G18
Takashi Fukuda, Keiichi Komatsu, Takayuki Morisawa
Funct. Approx. Comment. Math. 47 (1), 95-104, (September 2012) DOI: 10.7169/facm/2012.47.1.8
KEYWORDS: Iwasawa invariant, computation., 11R23, 11Y40
Shigeki Akiyama, Paulius Drungilas, Jonas Jankauskas
Funct. Approx. Comment. Math. 47 (1), 105-119, (September 2012) DOI: 10.7169/facm/2012.47.1.9
KEYWORDS: expanding algebraic integer, height reducing property, canonical number system., 11R11, 11R04
Carsten Elsner, Shun Shimomura, Iekata Shiokawa
Funct. Approx. Comment. Math. 47 (1), 121-141, (September 2012) DOI: 10.7169/facm/2012.47.1.10
KEYWORDS: algebraic independence, Ramanujan functions, Nesterenko's theorem, complete elliptic integrals, Gamma function., 11J85, 11J89, 11J91, 11F03
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