VOL. 14 · NO. 7 | 2020
 
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Articles
David Loeffler, Chris Williams
Algebra Number Theory 14 (7), 1669-1710, (2020) DOI: 10.2140/ant.2020.14.1669
KEYWORDS: Asai L-function, p-adic L-function, Bianchi modular form, Betti-Eisenstein classes, Iwasawa theory, 11F67, 11F41, 11F85, 11M41, 11S40
David Jarossay
Algebra Number Theory 14 (7), 1711-1746, (2020) DOI: 10.2140/ant.2020.14.1711
KEYWORDS: $p$-adic cyclotomic multiple zeta values, cyclotomic multiple harmonic sums, pro-unipotent harmonic actions, projective line minus three points, pro-unipotent fundamental groupoid, crystalline Frobenius, 11G99
Joseph Ayoub
Algebra Number Theory 14 (7), 1747-1790, (2020) DOI: 10.2140/ant.2020.14.1747
KEYWORDS: cohomologie de Weil, motifs, motifs rigides, groupe de Galois motivique, indépendance de $\ell$, 14F42
Maarten Derickx, Filip Najman, Samir Siksek
Algebra Number Theory 14 (7), 1791-1800, (2020) DOI: 10.2140/ant.2020.14.1791
KEYWORDS: modularity, Elliptic curves, totally real fields, 11F80, 11G05
Marc Levine, Arpon Raksit
Algebra Number Theory 14 (7), 1801-1851, (2020) DOI: 10.2140/ant.2020.14.1801
KEYWORDS: motivic homotopy theory, Chow ring, Euler characteristics, hermitian K-theory, 14F42, 55N20, 55N35
Hung M. Bui, Alexandra Florea, Jonathan P. Keating, Edva Roditty-Gershon
Algebra Number Theory 14 (7), 1853-1893, (2020) DOI: 10.2140/ant.2020.14.1853
KEYWORDS: Elliptic curve, L-function, ‎rank‎, finite field, Correlation, 11M06, 11M38
Jordan S. Ellenberg, Wanlin Li, Mark Shusterman
Algebra Number Theory 14 (7), 1895-1909, (2020) DOI: 10.2140/ant.2020.14.1895
KEYWORDS: nonvanishing, L-functions, function fields, Dirichlet characters, 11M38
Lillian B. Pierce, Junyan Xu
Algebra Number Theory 14 (7), 1911-1951, (2020) DOI: 10.2140/ant.2020.14.1911
KEYWORDS: character sums, 11L40
Noelia Rizo, A. A. Schaeffer Fry, Carolina Vallejo
Algebra Number Theory 14 (7), 1953-1979, (2020) DOI: 10.2140/ant.2020.14.1953
KEYWORDS: principal $p$-block, Galois action on characters, cyclic Sylow $p$-subgroups, Alperin–McKay–Navarro Conjecture, 20C15, 20C20, 20C33
Jesse Andrews, Clayton Petsche
Algebra Number Theory 14 (7), 1981-1999, (2020) DOI: 10.2140/ant.2020.14.1981
KEYWORDS: arithmetic dynamics, dynamical Galois theory, arboreal representations, Weil height, small points, Arakelov–Zhang pairing, 11R32, 11G50, 11R18, 37P30
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