VOL. 15 · NO. 9 | 2021
Jie Wu, Ping Xi, Will Sawin
Algebra Number Theory 15 (9), 2123-2172, (2021) DOI: 10.2140/ant.2021.15.2123
KEYWORDS: q-analogue of the van der Corput method, arithmetic exponent pairs, trace functions of l-adic sheaves, Brun–Titchmarsh theorem, linear sieve, 11L05, 11L07, 11N13, 11N36, 11T23, 11M06, 11N37
Shen-Ning Tung
Algebra Number Theory 15 (9), 2173-2194, (2021) DOI: 10.2140/ant.2021.15.2173
KEYWORDS: p-adic Langlands, Fontaine–Mazur, modularity lifting, 11F80, 11F33
Margaret Bilu, Sean Howe
Algebra Number Theory 15 (9), 2195-2260, (2021) DOI: 10.2140/ant.2021.15.2195
KEYWORDS: Bertini problems, Grothendieck ring of varieties, motivic probability, radicial surjective morphisms, 14G10, 55R80
Anna Cadoret, Alena Pirutka
Algebra Number Theory 15 (9), 2261-2288, (2021) DOI: 10.2140/ant.2021.15.2261
KEYWORDS: Milnor K-theory, function fields, reconstruction, 11R58, 14C35, 19D45
Julia Brandes, Scott T. Parsell
Algebra Number Theory 15 (9), 2289-2314, (2021) DOI: 10.2140/ant.2021.15.2289
KEYWORDS: Hardy–Littlewood method, diagonal forms, Forms in many variables, 11D72, 11D45, 11P55, 14G05
Eike Lau
Algebra Number Theory 15 (9), 2315-2355, (2021) DOI: 10.2140/ant.2021.15.2315
KEYWORDS: displays, Crystalline cohomology, K3 surfaces, 14F30
Dimitrios Chatzakos, Pär Kurlberg, Stephen Lester, Igor Wigman
Algebra Number Theory 15 (9), 2357-2380, (2021) DOI: 10.2140/ant.2021.15.2357
KEYWORDS: hyperbolic plane, hyperbolic circle, lattice points, equidistribution, 11E25, 11H06, 11H56, 11N36, 11N37, 11N13, 11N35
Steffen Löbrich, Markus Schwagenscheidt
Algebra Number Theory 15 (9), 2381-2401, (2021) DOI: 10.2140/ant.2021.15.2381
KEYWORDS: meromorphic modular forms, modular forms of half-integral weight, Fourier coefficients, integrality, divisibility, nonvanishing, sign changes, 11F30, 11F33, 11F37, 11F25, 11F27
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