VOL. 56 · NO. 1 | March 2017
Olivier Rozier
Funct. Approx. Comment. Math. 56 (1), 7-23, (March 2017) DOI: 10.7169/facm/1583 Open Access
KEYWORDS: $3x+1$ problem, Collatz conjecture, parity vector, ones-ratio, binary entropy function, maximum excursion, 11B37, 11B75, 60G50, 94A17
Pallab Kanti Dey
Funct. Approx. Comment. Math. 56 (1), 25-37, (March 2017) DOI: 10.7169/facm/1585 Open Access
KEYWORDS: Elliptic curve, number field, Diophantine equation, 14H52, 11R04
Todd Cochrane, Misty Ostergaard, Craig Spencer
Funct. Approx. Comment. Math. 56 (1), 39-48, (March 2017) DOI: 10.7169/facm/1587 Open Access
KEYWORDS: diagonal congruences in many variables, exponential sums, 11D79, 11D72, 11L03
Badria Alsulmi, Vincent Pigno, Christopher Pinner
Funct. Approx. Comment. Math. 56 (1), 49-60, (March 2017) DOI: 10.7169/facm/1590 Open Access
KEYWORDS: character sums, Gauss sums, Jacobi sums, 11L10, 11L40, 11L03, 11L05
Nao Takeshi
Funct. Approx. Comment. Math. 56 (1), 61-65, (March 2017) DOI: 10.7169/facm/1591 Open Access
KEYWORDS: Elliptic curves, everywhere good reduction, $j$-invariants, 11G05, 14H52, 11R04
Kamel Mazhouda, Lejla Smajlović
Funct. Approx. Comment. Math. 56 (1), 67-93, (March 2017) DOI: 10.7169/facm/1593 Open Access
KEYWORDS: Selberg class, generalized Riemann hypothesis, generalized Li coefficients, Euler-Stieltjes constants of the second kind, 11M06, 11M26, 11M36, 11M41
Françoise Bastin, Loïc Demeulenaere
Funct. Approx. Comment. Math. 56 (1), 95-107, (March 2017) DOI: 10.7169/facm/1594 Open Access
KEYWORDS: Diametral Dimension, Schwartz spaces, Köthe sequence spaces, 46A63, 46A11, 46A45
Stéphane R. Louboutin
Funct. Approx. Comment. Math. 56 (1), 109-116, (March 2017) DOI: 10.7169/facm/1598 Open Access
KEYWORDS: Dedekind zeta function, Siegel zero, 11R42, 11R29
Daniel A. Goldston, Timothy Ngotiaoco, Julian Ziegler Hunts
Funct. Approx. Comment. Math. 56 (1), 117-141, (March 2017) DOI: 10.7169/facm/1602 Open Access
KEYWORDS: Hardy-Littlewood conjecture, prime numbers, singular series, 11N05, 11P32, 11N36
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