Algebra & Number Theory Vol. 9, No. 1, 2015

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ISSN 1944-7833 (online)

ISSN 1937-0652 (print)

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On Previdi's delooping conjecture for $K$-theory

1–11

Sho Saito

Surpassing the ratios conjecture in the 1-level density of Dirichlet $L$-functions

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Daniel Fiorilli and Steven J. Miller

Eisenstein Hecke algebras and conjectures in Iwasawa theory

53–75

Preston Wake

Adequate groups of low degree

77–147

Robert Guralnick, Florian Herzig and Pham Huu Tiep

Random matrices, the Cohen–Lenstra heuristics, and roots of unity

149–171

Derek Garton

Local Beilinson–Tate operators

173–224

Amnon Yekutieli

Categories of abelian varieties over finite fields, I: Abelian varieties over $\mathbb{F}_{p}$

225–265

Tommaso Giorgio Centeleghe and Jakob Stix