VOL. 9 · NO. 1 | 2015
Sho Saito
Algebra Number Theory 9 (1), 1-11, (2015) DOI: 10.2140/ant.2015.9.1 Open Access
KEYWORDS: negative $K$-theory, delooping, Tate vector space, 19D35, 14C35
Daniel Fiorilli, Steven Miller
Algebra Number Theory 9 (1), 13-52, (2015) DOI: 10.2140/ant.2015.9.13 Open Access
KEYWORDS: low-lying zeros, Dirichlet L-functions, ratios conjecture, primes in arithmetic progressions, Random matrix theory, 11M26, 11M50, 11N13, 11N56, 15B52
Preston Wake
Algebra Number Theory 9 (1), 53-75, (2015) DOI: 10.2140/ant.2015.9.53 Open Access
KEYWORDS: Iwasawa theory, Hecke algebra, Gorenstein, Eisenstein, Sharifi's conjecture, Greenberg conjecture, 11R23, 11F33
Robert Guralnick, Florian Herzig, Pham Huu Tiep
Algebra Number Theory 9 (1), 77-147, (2015) DOI: 10.2140/ant.2015.9.77 Open Access
KEYWORDS: Artin–Wedderburn theorem, irreducible representations, Automorphic representations, Galois representations, adequate representations, 20C20, 11F80
Derek Garton
Algebra Number Theory 9 (1), 149-171, (2015) DOI: 10.2140/ant.2015.9.149 Open Access
KEYWORDS: random matrices, function fields, roots of unity, ideal class groups, Cohen–Lenstra heuristics, 11R29, 11R58, 15B52
Amnon Yekutieli
Algebra Number Theory 9 (1), 173-224, (2015) DOI: 10.2140/ant.2015.9.173 Open Access
KEYWORDS: topological local fields, residues, Tate residue, Beilinson adeles, 12J25, 32A27, 13J05, 11R56, 46A13, 46H30
Tommaso Centeleghe, Jakob Stix
Algebra Number Theory 9 (1), 225-265, (2015) DOI: 10.2140/ant.2015.9.225 Open Access
KEYWORDS: abelian varieties, finite fields, Gorenstein rings, reflexive modules, 11-02
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