VOL. 39 · NO. 2 | December 2008
Front Matter
Funct. Approx. Comment. Math. 39 (2), 178, (December 2008) Open Access
No abstract available
Radan Kučera
Funct. Approx. Comment. Math. 39 (2), 179-189, (December 2008) DOI: 10.7169/facm/1229696569 Open Access
KEYWORDS: compositum of real quadratic fields, Class number, group of circular units, 11R20, 11R27, 11R29
Sanoli Gun, M. Ram Murty, Purusottam Rath
Funct. Approx. Comment. Math. 39 (2), 191-204, (December 2008) DOI: 10.7169/facm/1229696570 Open Access
KEYWORDS: Eigenvalues of Hecke operators, equidistribution, summation methods, Petersson trace formula, 11F25, 11F30
Sophie Frisch, Günter Lettl
Funct. Approx. Comment. Math. 39 (2), 205-209, (December 2008) DOI: 10.7169/facm/1229696571 Open Access
KEYWORDS: Diophantine equation, integer-valued polynomial, resultant, polynomial parametrization, 11D85, 13F20, 11D41, 14H05
Carlo Viola, Wadim Zudilin
Funct. Approx. Comment. Math. 39 (2), 211-222, (December 2008) DOI: 10.7169/facm/1229696572 Open Access
KEYWORDS: Rational approximation, irrationality measure, hypergeometric series, hypergeometric integral, 33C05, 11J82, 33C60
Tauno Metsänkylä
Funct. Approx. Comment. Math. 39 (2), 223-235, (December 2008) DOI: 10.7169/facm/1229696573 Open Access
KEYWORDS: Bernoulli numbers, generalized Bernoulli numbers, $p$-adic $L$-functions and their zeros, Iwasawa $\lambda$-invariants, 11B68, 11R23, 11S40
Jörg Brüdern
Funct. Approx. Comment. Math. 39 (2), 237-260, (December 2008) DOI: 10.7169/facm/1229696574 Open Access
KEYWORDS: Davenport-Heilbronn method, diophantine approximation, square-free numbers, 11J13, 11D75
Christophe Doche, Michel Mendès France, Jean-Jacques Ruch
Funct. Approx. Comment. Math. 39 (2), 261-271, (December 2008) DOI: 10.7169/facm/1229696575 Open Access
KEYWORDS: Salem number, Equidistribution modulo 1, $J_0$ Bessel function, 11K06, 11J71
Hugh L. Montgomery, Robert C. Vaughan
Funct. Approx. Comment. Math. 39 (2), 273-288, (December 2008) DOI: 10.7169/facm/1229696576 Open Access
KEYWORDS: Euler product, multiplicative function, 11N37, 11M41
Kálmán Györy
Funct. Approx. Comment. Math. 39 (2), 289-314, (December 2008) DOI: 10.7169/facm/1229696577 Open Access
KEYWORDS: Arithmetic graphs, unit equations, polynomials, resultants, discriminants, diophantine finiteness theorems, 11D61, 11C08, 05C99
Jean-Louis Nicolas
Funct. Approx. Comment. Math. 39 (2), 315-334, (December 2008) DOI: 10.7169/facm/1229696578 Open Access
KEYWORDS: Euler's function, sum of divisors function, champion numbers, highly composite numbers, 11N56
Jean-Marc Deshouillers, Florian Luca
Funct. Approx. Comment. Math. 39 (2), 335-344, (December 2008) DOI: 10.7169/facm/1229696579 Open Access
KEYWORDS: Euler phi function, distribution of values, distribution modulo 1, 11A25, 11A37
Rodger D. Patterson, Hugh C. Williams, Alfred J. van der Poorten
Funct. Approx. Comment. Math. 39 (2), 345-360, (December 2008) DOI: 10.7169/facm/1229696580 Open Access
KEYWORDS: Torsion divisors, hyperelliptic curves, periodic continued fractions, 11G30;, 11G20, 14H40, 14H45
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