VOL. 51 · NO. 1 | September 2014
 
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Articles
Yoshinori Hamahata
Funct. Approx. Comment. Math. 51 (1), 7-22, (September 2014) DOI: 10.7169/facm/2014.51.1.1
KEYWORDS: polylogarithms, Euler numbers and polynomials, Bernoulli numbers and polynomials, zeta function, 11B68, 11M32, 11M35
Jeffrey Stopple
Funct. Approx. Comment. Math. 51 (1), 23-41, (September 2014) DOI: 10.7169/facm/2014.51.1.2
KEYWORDS: generalized Riemann hypothesis, de Bruijn-Newman constant, backward heat equation, Lehmer pair, Low discriminant, Random matrix theory, 11M20, 11M26, 11M50, 11Y35, 11Y60
Yasushi Komori, Kohji Matsumoto, Hirofumi Tsumura
Funct. Approx. Comment. Math. 51 (1), 43-46, (September 2014) DOI: 10.7169/facm/2014.51.1.3
KEYWORDS: multiple zeta values, Witten zeta-functions, Root systems, Riemann's zeta-function, 11M32, 11M06
Patrick Morton
Funct. Approx. Comment. Math. 51 (1), 77-110, (September 2014) DOI: 10.7169/facm/2014.51.1.4
KEYWORDS: class equation, supersingular polynomial, Modular equation, Class number, Complex Multiplication, 11G15, 11H52, 11R11
Haiping Yuan, Jianqiang Zhao
Funct. Approx. Comment. Math. 51 (1), 111-119, (September 2014) DOI: 10.7169/facm/2014.51.1.5
KEYWORDS: multiple zeta values, generating functions, 11M32, 11B68
Narasimha Kumar
Funct. Approx. Comment. Math. 51 (1), 121-132, (September 2014) DOI: 10.7169/facm/2014.51.1.6
KEYWORDS: Siegel modular forms, twists of cusp forms, half-integral weight modular forms, $L$-functions, non-vanishing, special values, transcendence, 11F67, 11J81, 11F46, 11F11, 11F37
Michael Gil'
Funct. Approx. Comment. Math. 51 (1), 133-140, (September 2014) DOI: 10.7169/facm/2014.51.1.7
KEYWORDS: Hilbert space, linear operators, Eigenvalues, approximation, Integro-differential operators, Schatten-von Neumann operators, 47A75, 47B10, 47B99
Ioannis K. Argyros, Santhosh George, Monnanda E. Shobha
Funct. Approx. Comment. Math. 51 (1), 141-166, (September 2014) DOI: 10.7169/facm/2014.51.1.8
KEYWORDS: Discretized Two Step Newton Tikhonov method, ill-posed Hammerstein-type operator equations, balancing principle, monotone operator, Regularization method, projection method, 47J06, 65J15, 47H17, 47A52, 65N20, 65J20
Takashi Fukuda, Keiichi Komatsu
Funct. Approx. Comment. Math. 51 (1), 167-179, (September 2014) DOI: 10.7169/facm/2014.51.1.9
KEYWORDS: Iwasawa invariant, cyclotomic unit, real quadratic field, 11R23, 11Y40
Ramūnas Garunkštis, Erikas Karikovas
Funct. Approx. Comment. Math. 51 (1), 181-188, (September 2014) DOI: 10.7169/facm/2014.51.1.10
KEYWORDS: Hurwitz zeta-function, strong recurrence, universality theorem, 11M35, 11M26
Boqing Xue
Funct. Approx. Comment. Math. 51 (1), 189-196, (September 2014) DOI: 10.7169/facm/2014.51.1.11
KEYWORDS: Euler function, Lehmer's totient problem, 11A25
Peter Kritzer, Gerhard Larcher, Friedrich Pillichshammer
Funct. Approx. Comment. Math. 51 (1), 197-220, (September 2014) DOI: 10.7169/facm/2014.51.1.12
KEYWORDS: Discrepancy, uniform distribution, van der Corput-sequence, Halton-sequence, $(t,s)$-sequence, sum-of-digits function, 11K06, 11K31, 11K36, 11K38
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