VOL. 52 · NO. 1 | March 2015
 
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Articles
Carsten Elsner
Funct. Approx. Comment. Math. 52 (1), 7-27, (March 2015) DOI: 10.7169/facm/2015.52.1.1
KEYWORDS: algebraic independence, theta-constants, Nesterenko's theorem, independence criterion, modular equations, 11J85, 11J91, 11F27
Yoshinori Hamahata
Funct. Approx. Comment. Math. 52 (1), 29-35, (March 2015) DOI: 10.7169/facm/2015.52.1.2
KEYWORDS: Dedekind sums, Drinfeld modules, function fields, 11F20, 11G09
Adele Lopez
Funct. Approx. Comment. Math. 52 (1), 37-55, (March 2015) DOI: 10.7169/facm/2015.52.1.3
KEYWORDS: class groups, Goldbach numbers, imaginary quadratic fields, Sylow 2-subgroups, 11R29, 11P32
Cristian Virdol
Funct. Approx. Comment. Math. 52 (1), 57-63, (March 2015) DOI: 10.7169/facm/2015.52.1.4
KEYWORDS: Tate conjecture, abelian surfaces, totally real fields, 11F41, 11F80, 11R42, 11R80
Cécile Dartyge, Christian Mauduit, András Sárközy
Funct. Approx. Comment. Math. 52 (1), 65-74, (March 2015) DOI: 10.7169/facm/2015.52.1.5
KEYWORDS: digits properties, finite fields, character sums, squares, polynomials, generators, primitive roots, 11A63, 11L99
Min Ho Lee
Funct. Approx. Comment. Math. 52 (1), 75-82, (March 2015) DOI: 10.7169/facm/2015.52.1.6
KEYWORDS: modular forms, theta series, Jacobi-like forms, quasimodular forms, 11F11, 11F50
Piotr Rzonsowski
Funct. Approx. Comment. Math. 52 (1), 83-107, (March 2015) DOI: 10.7169/facm/2015.52.1.7
KEYWORDS: abelian variety, abelian scheme, Mordell-Weil group, support problem, 11G10, 14G05, 14L15, 14KXX
Yutaka Konomi
Funct. Approx. Comment. Math. 52 (1), 109-116, (March 2015) DOI: 10.7169/facm/2015.52.1.8
KEYWORDS: étale cohomology, $K$-group, Class number, Iwasawa theory, Artin $L$-function, 19F27, 11R23
Jaban Meher, Sudhir Pujahari, Karam Deo Shankhadhar
Funct. Approx. Comment. Math. 52 (1), 117-126, (March 2015) DOI: 10.7169/facm/2015.52.1.9
KEYWORDS: Dirichlet series, Fourier coefficients, cusp forms, symmetric power $L$-functions, 11M41, 11F30
Ulf Kühn, Jan Steffen Müller
Funct. Approx. Comment. Math. 52 (1), 127-132, (March 2015) DOI: 10.7169/facm/2015.52.1.10
KEYWORDS: Elliptic curves, abc-conjecture, rational points, heights, Wieferich primes, 11G05, 11G50
Patrick Sargos
Funct. Approx. Comment. Math. 52 (1), 133-176, (March 2015) DOI: 10.7169/facm/2015.52.1.11
KEYWORDS: van der Corput's $B$-process, multidimensional stationary phase integrals, Oscillatory integrals, change of variables, 11L07
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