VOL. 12 · NO. 10 | 2018
Jack Buttcane
Algebra Number Theory 12 (10), 2237-2294, (2018) DOI: 10.2140/ant.2018.12.2237
KEYWORDS: Maass forms, automorphic forms, GL(3), SO(3), weight, raising and lowering operators, 11F72, 11F30
Ryotaro Sakamoto
Algebra Number Theory 12 (10), 2295-2326, (2018) DOI: 10.2140/ant.2018.12.2295
KEYWORDS: Stark systems, Euler systems, Selmer groups, Iwasawa theory, 11R23, 11F80, 11S25
Corinne Blondel, Guy Henniart, Shaun Stevens
Algebra Number Theory 12 (10), 2327-2386, (2018) DOI: 10.2140/ant.2018.12.2327
KEYWORDS: local Langlands correspondence, symplectic group, $p$-adic group, Jordan block, endoparameter, types and covers, 22E50, 11F70
Peter Schmid
Algebra Number Theory 12 (10), 2387-2401, (2018) DOI: 10.2140/ant.2018.12.2387
KEYWORDS: Galois 2-groups, Scholz fields, tame ramification, Shafarevich, Serre, 11R32, 20D15
Roberto Gualdi
Algebra Number Theory 12 (10), 2403-2443, (2018) DOI: 10.2140/ant.2018.12.2403
KEYWORDS: toric variety, height of a variety, Ronkin function, Legendre–Fenchel duality, mixed integral, 14M25, 11G50, 14G40, 52A39
Brendan Creutz, Bianca Viray
Algebra Number Theory 12 (10), 2445-2470, (2018) DOI: 10.2140/ant.2018.12.2445
KEYWORDS: Brauer–Manin obstruction, degree, period, rational points, 14G05, 11G35, 14F22
Ian Petrow
Algebra Number Theory 12 (10), 2471-2498, (2018) DOI: 10.2140/ant.2018.12.2471
KEYWORDS: traces of Hecke operators, modular curves over a finite field, elliptic curves over a finite field, Petersson formula for newforms, Tsfasman–Vlăduţ–Zink theorem, 11F25, 11F11, 11F72, 11G20, 14G15
Hung P. Tong-Viet
Algebra Number Theory 12 (10), 2499-2514, (2018) DOI: 10.2140/ant.2018.12.2499
KEYWORDS: real conjugacy classes, involutions, $2$-parts, quasisimple groups, 20E45, 20D10
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