Found 2,260 Documents (Results 1–100)
The Weyl law for algebraic tori. (English) Zbl 07875316
Brumer-Stark units and explicit class field theory. (English) Zbl 07875310
Reviewer: James E. Carter (Charleston)
The areal Mahler measure under a power change of variables. (English) Zbl 07870763
Reviewer: Toufik Zaïmi (Riyadh)
On local \(L\)-factors for Archimedean \(\mathrm{GL}(n)\). (English) Zbl 07868224
Reviewer: Zhengyu Mao (Newark)
Arithmetic of Hecke \(L\)-functions of quadratic extensions of totally real fields. (English) Zbl 07865941
Reviewer: Isabelle Dubois (Metz)
The Hodge realization of the polylogarithm and the Shintani generating class for totally real fields. (English) Zbl 07857681
Reviewer: Mohammad Reza Rahmati (León)
The asymptotic distribution of coefficients of the Dedekind zeta-function over a sparse sequence. (English) Zbl 07854573
Reviewer: Olivier Bordellès (Aiguilhe)
A note on odd zeta values over any number field and extended Eisenstein series. (English) Zbl 07852395
Reviewer: Sami Omar (Sukhair)
Distribution of Frobenius elements in families of Galois extensions. (English) Zbl 07851597
Reviewer: Władysław Narkiewicz (Wrocław)
The Barnes-Hurwitz zeta cocycle at \(s=0\) and Ehrhart quasi-polynomials of triangles. (English) Zbl 07850239
Reviewer: Sami Omar (Sukhair)
A note on simple zeros related to Dedekind zeta functions. (English) Zbl 07846611
Reviewer: Sami Omar (Sukhair)
Arithmetic equivalence under isoclinism. (English) Zbl 07841624
Reviewer: Władysław Narkiewicz (Wrocław)
A universal lower bound for certain quadratic integrals of automorphic \(L\)-functions. (English) Zbl 07841174
Reviewer: Sami Omar (Sukhair)
Modular algorithms for Gross-Stark units and Stark-Heegner points. (English) Zbl 07840416
Cremona, John (ed.) et al., LuCaNT: LMFDB, computation, and number theory. Conference, Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, Rhode Island, USA, July 10–14, 2023. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 796, 261-284 (2024).
Sum of values of the ideal class zeta-function over nontrivial zeros of the Riemann zeta-function. (English) Zbl 07828710
On the Northcott property of Dedekind zeta functions. (English) Zbl 07823304
Reviewer: Sami Omar (Sukhair)
Extendible functions and local root numbers: remarks on a paper of R. P. Langlands. (English) Zbl 1533.11195
An approximate form of Artin’s holomorphy conjecture and non-vanishing of Artin \(L\)-functions. (English) Zbl 07807378
Reviewer: Lawrence C. Washington (College Park)
Attractor-repeller construction of Shintani domains for totally complex quartic fields. (English) Zbl 07802058
Reviewer: Günter Lettl (Graz)
Rubin-Stark units and the class number. (English) Zbl 07801555
Reviewer: James E. Carter (Charleston)
Extended higher Herglotz functions. I: Functional equations. (English) Zbl 07796442
Reviewer: Masanari Kida (Tōkyō)
On the square root of the inverse different. (English) Zbl 1540.11158
Reviewer: Cornelius Greither (Neubiberg)
Ankeny-Artin-Chowla and Mordell conjectures in terms of \(p\)-rationality. (English) Zbl 07786324
Reviewer: Guangshi Lü (Jinan)
The strong Stark conjecture for totally odd characters. (English) Zbl 1540.11161
Reviewer: Henri Johnston (Exeter)
MSC:
11R42
Evaluations of the areal Mahler measure of multivariable polynomials. (English) Zbl 1534.11126
Reviewer: Toufik Zaïmi (Riyadh)
Non-vanishing for cubic Hecke \(L\)-functions. arXiv:2410.03048
Preprint, arXiv:2410.03048 [math.NT] (2024).
On arithmetic Heilbronn supercharacters. arXiv:2409.16939
Preprint, arXiv:2409.16939 [math.NT] (2024).
Weak almost monomial groups and Artin’s conjecture. arXiv:2409.05629
Preprint, arXiv:2409.05629 [math.NT] (2024).
Cyclotomic fields are generated by cyclotomic Hecke {\it L}-values of totally real fields, II. arXiv:2409.04661
Preprint, arXiv:2409.04661 [math.NT] (2024).
Density theorems for \(\text{GL}_n\) via Rankin-Selberg \(L\)-functions. arXiv:2408.13682
Preprint, arXiv:2408.13682 [math.NT] (2024).
A Number Field Analogue of Ramanujan’s identity for \(\zeta(2m+1)\). arXiv:2407.03660
Preprint, arXiv:2407.03660 [math.NT] (2024).
An equivariant \(p\)-adic Artin conjecture. arXiv:2404.15078
Preprint, arXiv:2404.15078 [math.NT] (2024).
Harder’s denominator problem for \(\mathrm{SL}_2(\mathbb{Z})\) and its applications. arXiv:2403.05800
Preprint, arXiv:2403.05800 [math.NT] (2024).
Adelic Eisenstein classes and divisibility properties of Stickelberger elements. arXiv:2402.11583
Preprint, arXiv:2402.11583 [math.NT] (2024).
On the lowest zero of Dedekind zeta function. arXiv:2401.10936
Preprint, arXiv:2401.10936 [math.NT] (2024).
Explicit formula in a imaginary quadratic number field. arXiv:2401.09634
Preprint, arXiv:2401.09634 [math.NT] (2024).
MSC:
11R42
Special values of \(p\)-adic \(L\)-functions and Iwasawa \(\lambda\)-invariants of Dirichlet characters. arXiv:2401.06100
Preprint, arXiv:2401.06100 [math.NT] (2024).
On the Brumer-Stark conjecture and refinements. (English) Zbl 1533.11189
Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 1768-1799 (2023).
On a general divisor problem related to a certain Dedekind zeta-function over a specific sequence of positive integers. (English) Zbl 1532.11057
On the divergence of two subseries \(\sum\frac{1}{p}\), and theorems of De La Vallée Poussin and Landau-Walfisz. (English) Zbl 07805634
Subconvexity of a double Dirichlet series over the Gaussian field. (English) Zbl 07795683
Reviewer: Sami Omar (Sukhair)
A supplement to Chebotarev’s density theorem. (English) Zbl 1540.11160
Reviewer: Władysław Narkiewicz (Wrocław)
On Ihara’s conjectures for Euler-Kronecker constants. (English) Zbl 1537.11134
Reviewer: Władysław Narkiewicz (Wrocław)
From the ideal theorem to the class number. (English) Zbl 1533.11183
Reviewer: Władysław Narkiewicz (Wrocław)
The error term in the truncated Perron formula for the logarithm of an \(L\)-function. (English) Zbl 1535.11120
Reviewer: Kamel Mazhouda (Monastir)
Mean square values of \(L\)-functions over subgroups for nonprimitive characters, Dedekind sums and bounds on relative class numbers. (English) Zbl 1540.11036
Reviewer: Lawrence C. Washington (College Park)
Explicit upper bounds on the average of Euler-Kronecker constants of narrow ray class fields. (English) Zbl 1540.11145
Reviewer: Florian Luca (Johannesburg)
On the monoid algebra associated to the monomial characters of a finite group. (English) Zbl 1523.20020
On a divisor problem related to a certain Dedekind zeta-function. (English) Zbl 1536.11148
Reviewer: Shigeru Kanemitsu (Kitakyūshū)
An invariant property of Mahler measure. (English) Zbl 1536.11169
Reviewer: Toufik Zaïmi (Riyadh)
Hecke \(L\)-functions of certain subextensions in an extraspecial extension. (English) Zbl 1534.11134
Reviewer: Władysław Narkiewicz (Wrocław)
On the minus component of the equivariant Tamagawa number conjecture for \(\mathbb{G}_m\). (English) Zbl 07732795
The equivariant Tamagawa number conjecture for abelian extensions of imaginary quadratic fields. (English) Zbl 1534.11132
Reviewer: Henri Johnston (Exeter)
Denominators of special values of \(\zeta\)-functions count \(KU\)-local homotopy groups of mod \(p\) Moore spectra. (English) Zbl 1528.11077
On the Montgomery-Odlyzko method regarding gaps between zeros of the zeta-function. (English) Zbl 1528.11078
Reviewer: Giovanni Coppola (Napoli)
The value-distribution of Artin \(L\)-functions associated with cubic fields in conductor aspect. (English) Zbl 07720772
Reviewer: Niranjan Ramachandran (College Park)
Almost all Fourier coefficients of symmetric power \(L\)-functions are small. (English) Zbl 1532.11160
Reviewer: Florian Luca (Johannesburg)
On a generalization of monomial groups. (English) Zbl 1530.20026
Reviewer: Robert W. van der Waall (Huizen)
On the distribution of Ramanujan sums over number fields. (English) Zbl 1526.11047
Reviewer: Giovanni Coppola (Napoli)
A Kronecker limit formula for indefinite zeta functions. (English) Zbl 1531.11084
Reviewer: Roma Kačinskaitė (Vilnius)
On the number of ideals whose norm is the value of a binary form of degree 3. (Sur le nombre d’idéaux dont la norme est la valeur d’une forme binaire de degré 3.) (French. English summary) Zbl 1534.11116
Reviewer: Detlev Hoffmann (Dortmund)
Iwasawa theory and its perspective. Volume 1. (English) Zbl 1536.11002
Mathematical Surveys and Monographs 272. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5672-6/pbk; 978-1-4704-7325-9/ebook). ix, 154 p. (2023).
Reviewer: Andrzej Dąbrowski (Szczecin)
The local-global principle for divisibility in CM elliptic curves. (English) Zbl 1537.11080
Reviewer: B. Z. Moroz (Bonn)
Shintani-Barnes cocycles and values of the zeta functions of algebraic number fields. (English) Zbl 1531.11108
Reviewer: B. Z. Moroz (Bonn)
Arithmetically equivalent fields in a Galois extension with Frobenius Galois group of 2-power degree. (English) Zbl 1525.11137
Reviewer: Władysław Narkiewicz (Wrocław)
Canonical equivariant cohomology classes generating zeta values of totally real fields. (English) Zbl 1531.11082
Reviewer: B. Z. Moroz (Bonn)
A proof of the refined class number formula of Gross. (English) Zbl 1534.11133
Reviewer: Günter Lettl (Graz)
MSC:
11R42
\(\mathscr{L}\)-invariants of Artin motives. (English. French summary) Zbl 1530.11085
Reviewer: Andreas Nickel (München)
Arithmetically equivalent number fields have approximately the same successive minima. (English) Zbl 1525.11134
Reviewer: Günter Lettl (Graz)
Density questions on arithmetic equivalence. (English) Zbl 1530.11089
Reviewer: Robert W. van der Waall (Huizen)
A zero density estimate for Dedekind zeta functions. (English) Zbl 1525.11138
Reviewer: B. Z. Moroz (Bonn)
On Iwasawa \(\lambda\)-invariants for abelian number fields and random matrix heuristics. (English) Zbl 07673305
Reviewer: Władysław Narkiewicz (Wrocław)
Comparing two formulas for the Gross-Stark units. (English) Zbl 1525.11136
Reviewer: Anton Deitmar (Tübingen)
On Euler systems for the multiplicative group over general number fields. (English) Zbl 1523.11207
Reviewer: Isabelle Dubois (Metz)
Euler-Kronecker constants for cyclotomic fields. (English) Zbl 1523.11196
Reviewer: József Sándor (Cluj-Napoca)
Special values of ray class partial zeta functions. (English) Zbl 1520.11095
Reviewer: Władysław Narkiewicz (Wrocław)
Special values of \(L\)-functions on regular arithmetic schemes of dimension 1. (English) Zbl 1536.14018
Counting ideals in ray classes. (English) Zbl 1517.11141
Reviewer: B. Z. Moroz (Bonn)
Landau and Ramanujan approximations for divisor sums and coefficients of cusp forms. (English) Zbl 1506.11124
Reviewer: Mehdi Hassani (Zanjan)
On the Brumer-Stark conjecture. (English) Zbl 1525.11128
Reviewer: Lawrence C. Washington (College Park)
On the number of integral ideals in a number field. (English) Zbl 1502.11116
Reviewer: Olivier Bordellès (Aiguilhe)
WITHDRAWN: On the Torsion Congruence for Zeta Functions of Totally Real Fields. arXiv:2310.04385
Preprint, arXiv:2310.04385 [math.NT] (2023); retraction notice ibid.
Diophantine approximation with prime denominator in quadratic number fields under GRH. arXiv:2312.02628
Preprint, arXiv:2312.02628 [math.NT] (2023).
Explicit height estimates for CM curves of genus 2. arXiv:2311.13403
Preprint, arXiv:2311.13403 [math.NT] (2023).
Elliptic units for complex cubic fields. arXiv:2311.04110
Preprint, arXiv:2311.04110 [math.NT] (2023).
Annihilating class groups in \(p\)-elementary extensions. arXiv:2310.10468
Preprint, arXiv:2310.10468 [math.NT] (2023).
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