VOL. 46 · NO. 2 | June 2012
Ronald Evans
Funct. Approx. Comment. Math. 46 (2), 147-159, (June 2012) DOI: 10.7169/facm/2012.46.2.1 Open Access
KEYWORDS: Hecke eigenforms, Hecke characters, newforms, nebentypus, genus class group, ideal class group, imaginary quadratic field, Kloosterman sums, representation of primes by binary quadratic forms, 11F11, 11F30, 11E25, 11R29
Željka Ljujić
Funct. Approx. Comment. Math. 46 (2), 161-175, (June 2012) DOI: 10.7169/facm/2012.46.2.2 Open Access
KEYWORDS: complementing multisets, 05B45, 11B75
Micah B. Milinovich, Nathan Ng
Funct. Approx. Comment. Math. 46 (2), 177-187, (June 2012) DOI: 10.7169/facm/2012.46.2.3 Open Access
KEYWORDS: Riemann zeta-function, mean-value thereoms, Gonek's conjecture, 11M06, 11M26
Cristian Virdol
Funct. Approx. Comment. Math. 46 (2), 189-194, (June 2012) DOI: 10.7169/facm/2012.46.2.4 Open Access
KEYWORDS: Birch and Swinnerton-Dyer conjecture, base change, potential modularity, 11F41, 11F80, 11R42, 11R80, 11G05
John Bentin
Funct. Approx. Comment. Math. 46 (2), 195-204, (June 2012) DOI: 10.7169/facm/2012.46.2.5 Open Access
KEYWORDS: bounded real sequence, clustering, separation, 11B05, 11B39, 11B83
Dan Haran, Moshe Jarden, Florian Pop
Funct. Approx. Comment. Math. 46 (2), 205-223, (June 2012) DOI: 10.7169/facm/2012.46.2.6 Open Access
KEYWORDS: Hilbertian field, local primes, totally $S$-adic numbers, Haar measure, absolute Galois group, free product, 12E30
Harold G. Diamond, Wen-Bin Zhang
Funct. Approx. Comment. Math. 46 (2), 225-234, (June 2012) DOI: 10.7169/facm/2012.46.2.7 Open Access
KEYWORDS: Beurling generalized numbers, sharp Mertens formula, Prime Number Theorem, equivalent relations, 11N80
Yichao Zhang
Funct. Approx. Comment. Math. 46 (2), 235-260, (June 2012) DOI: 10.7169/facm/2012.46.2.8 Open Access
KEYWORDS: divisor function, quaternion algebra, modular form, L-function, fourth moments, 11R52, 11F11
Şaban Alaca, Faruk Uygul, Kenneth S. Williams
Funct. Approx. Comment. Math. 46 (2), 261-271, (June 2012) DOI: 10.7169/facm/2012.46.2.9 Open Access
KEYWORDS: sum of divisors function, Eisenstein series, 11A25, 11F27
Kevin J. McGown
Funct. Approx. Comment. Math. 46 (2), 273-284, (June 2012) DOI: 10.7169/facm/2012.46.2.10 Open Access
KEYWORDS: Dirichlet character, consecutive non-residues, power residues, 11A15, 11N25, 11L26, 11L40
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