Found 355 Documents (Results 1–100)
Equidistribution for solutions of \(p+m^2+n^2=N\), and for Châtelet surfaces. (English) Zbl 07903804
The distribution of the multiplicative index of algebraic numbers over residue classes. (English) Zbl 07873894
Effective Sato-Tate conjecture for abelian varieties and applications. (English) Zbl 07855095
Reviewer: Sungkon Chang (Savannah)
Distribution of Frobenius elements in families of Galois extensions. (English) Zbl 07851597
Reviewer: Władysław Narkiewicz (Wrocław)
Determination of all imaginary cyclic quartic fields of prime class number \(b\equiv 3 \pmod 4\), and non-divisibility of class numbers. (English) Zbl 07839468
Reviewer: James E. Carter (Charleston)
Representatives of similarity classes of matrices over PIDs corresponding to ideal classes. (English) Zbl 1537.15033
Reviewer: Carlos M. da Fonseca (Safat)
On structures of the ring of arithmetical functions: prime ideals and beyond. arXiv:2410.10824
Preprint, arXiv:2410.10824 [math.RA] (2024).
The Density of Borromean Primes. arXiv:2403.17957
Preprint, arXiv:2403.17957 [math.NT] (2024).
On the number of prime numbers between \(n^2\) and \({(n+1)}^2\). arXiv:2403.08306
Preprint, arXiv:2403.08306 [math.NT] (2024).
\(L\)-functions in arithmetic statistics. (English) Zbl 1536.11092
Bassa, Alp (ed.) et al., Curves over finite fields: past, present and future, virtual conference, May 2021. Paris: Société Mathématique de France (SMF). Panor. Synth. 60, 145-171 (2023).
On Ihara’s conjectures for Euler-Kronecker constants. (English) Zbl 1537.11134
Reviewer: Władysław Narkiewicz (Wrocław)
Hilbert irreducibility, the Malle conjecture and the Grunwald problem. (Théorème d’irréductibilité de Hilbert, conjecture de Malle et problème de Grunwald.) (English. French summary) Zbl 1529.12003
Reviewer: Giancarlo Lucchini Arteche (Santiago)
Diophantine approximation with prime denominator in real quadratic function fields. (English) Zbl 1535.11103
Reviewer: Anton Shutov (Vladimir)
Composite values of shifted exponentials. (English) Zbl 1533.11011
Reviewer: Balasubramanian Sury (Bangalore)
Nuclearity for power series kernels in higher dimensions. (English) Zbl 1543.47068
Reviewer: Elhadj Dahia (Bou Saâda)
Modular forms and an explicit Chebotarev variant of the Brun-Titchmarsh theorem. (English) Zbl 07695789
Reviewer: Pieter Moree (Bonn)
Divisibility conditions on the order of the reductions of algebraic numbers. (English) Zbl 1536.11185
Obstructions to reciprocity laws related to division fields of Drinfeld modules. (English) Zbl 1521.11040
Chebyshev’s bias against splitting and principal primes in global fields. (English) Zbl 1518.11082
Reviewer: Robert W. van der Waall (Huizen)
Counting ideals in ray classes. (English) Zbl 1517.11141
Reviewer: B. Z. Moroz (Bonn)
On the number of integral ideals in a number field. (English) Zbl 1502.11116
Reviewer: Olivier Bordellès (Aiguilhe)
Diophantine approximation with prime denominator in quadratic number fields under GRH. arXiv:2312.02628
Preprint, arXiv:2312.02628 [math.NT] (2023).
Frobenius sign separation for abelian varieties. arXiv:2310.10568
Preprint, arXiv:2310.10568 [math.NT] (2023).
A note on the distribution of prime ideals in real quadratic fields. arXiv:2307.03513
Preprint, arXiv:2307.03513 [math.NT] (2023).
Fixed-point statistics from spectral measures on tensor envelope categories. arXiv:2304.05844
Preprint, arXiv:2304.05844 [math.RT] (2023).
Prime subcomplexes. arXiv:2304.01021
Preprint, arXiv:2304.01021 [math.AC] (2023).
Vanishing spaces of random sets and applications to Reed-Muller codes. (English) Zbl 07877678
Lovett, Shachar (ed.), 37th computational complexity conference, CCC 2022, Philadelphia, PA, USA, July 20–23, 2022. Wadern: Schloss Dagstuhl – Leibniz-Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 234, Article 31, 14 p. (2022).
MSC:
68Q25
Curve test for enhanced ind-sheaves and holonomic \(D\)-modules. I. (English. French summary) Zbl 1516.14041
Reviewer: Teresa Monteiro Fernandes (Lisboa)
On the space of Schwartz operators in the symmetric Fock space and its dual. (English. Russian original) Zbl 07584683
Vestn. St. Petersbg. Univ., Math. 55, No. 2, 135-140 (2022); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 9(67), No. 2, 193-201 (2022).
Reviewer: Fattah Sakuldee (Warszawa)
A generalization of Maynard’s results on the Brun-Titchmarsh theorem to number fields. (English) Zbl 1504.11122
Reviewer: Peter Koymans (Ann Arbor)
Primes in the Chebotarev density theorem for all number fields (with an appendix by Andrew Fiori). (English) Zbl 1507.11104
Reviewer: B. Z. Moroz (Bonn)
Diophantine approximation with prime restriction in function fields (with an appendix by Arijit Ganguly). (English) Zbl 1501.11075
Reviewer: Manuel Hauke (Graz)
Generalizations of Alladi’s formula for arithmetical semigroups. (English) Zbl 1508.11099
Reviewer: Andrew O’Desky (Princeton)
Differential recurrences for the distribution of the trace of the \(\beta\)-Jacobi ensemble. (English) Zbl 1496.81091
The growth of the discriminant of the endomorphism ring of the reduction of a rank 2 generic Drinfeld module. (English) Zbl 1507.11049
Unconditional Chebyshev biases in number fields. (Biais de Tchebychev inconditionnels dans les corps de nombres.) (English. French summary) Zbl 1490.11110
Reviewer: Władysław Narkiewicz (Wrocław)
On the \(16\)-rank of class groups of \(\mathbb{Q}(\sqrt{-3p})\) for primes \(p\) congruent to \(1\) modulo \(4\). (English) Zbl 1490.11097
Reviewer: Claude Levesque (Québec)
Théorème de Chebotarev et Congruences de suites récurrentes linéaires, liens avec les algorithmes de factorisations sur \(\mathbb{F}_p\). arXiv:2208.08899
Preprint, arXiv:2208.08899 [math.NT] (2022).
A Bombieri-Vinogradov theorem for number fields. (English) Zbl 1533.11192
Reviewer: Władysław Narkiewicz (Wrocław)
On structure of the family of regularly distributed sets with respect to the union. (English) Zbl 1499.40021
Singularities of algebraic differential equations. (English) Zbl 1484.34052
Reviewer: Mykola Grygorenko (Kyïv)
Diophantine approximation with prime restriction in real quadratic number fields. (English) Zbl 1484.11155
Reviewer: Volker Ziegler (Salzburg)
A Bombieri-Vinogradov theorem for primes in short intervals and small sectors. (English) Zbl 1480.11147
Chebyshev’s bias in dihedral and generalized quaternion Galois groups. (English) Zbl 1477.11166
Reviewer: Robert W. van der Waall (Huizen)
A logic based approach to finding real singularities of implicit ordinary differential equations. (English) Zbl 1500.34015
On an explicit zero-free region for the Dedekind zeta-function. (English) Zbl 1470.11296
Reviewer: Robert W. van der Waall (Amsterdam)
Note on the Wigner distribution and localization operators in the quasi-Banach setting. (English) Zbl 07332023
Cicognani, Massimo (ed.) et al., Anomalies in partial differential equations. Selected papers based on the presentations at the INDAM workshop, Rome, Italy, September 9–13, 2019. Cham: Springer. Springer INdAM Ser. 43, 149-166 (2021).
Pointwise bound for \(\ell \)-torsion in class groups: elementary abelian extensions. (English) Zbl 1468.11227
Reviewer: Andrew G. Earnest (Carbondale)
On the distribution of the order and index for the reductions of algebraic numbers. (English) Zbl 1470.11299
Reviewer: Robert W. van der Waall (Amsterdam)
The smallest prime in a conjugacy class and the first sign change for automorphic \(L\)-functions. (English) Zbl 1473.11176
An unconditional \(\mathrm{GL}_n\) large sieve. (English) Zbl 1468.11113
Reviewer: Nils Matthes (Oxford)
Weak approximation for certain quadric surface bundles. arXiv:2110.03793
Preprint, arXiv:2110.03793 [math.AG] (2021).
Diophantine approximation with prime restriction in function fields. arXiv:2110.00057
Preprint, arXiv:2110.00057 [math.NT] (2021).
Primes in the Chebotarev density theorem for all number fields. arXiv:2105.14181
Preprint, arXiv:2105.14181 [math.NT] (2021).
On admissible set of primes in real quadratic fields. (English) Zbl 1468.11229
Ramakrishnan, B. (ed.) et al., Modular forms and related topics in number theory. Proceedings of the international conference on number theory, ICNT 2018, Kozhikode, India, December 10–14, 2018. Singapore: Springer. Springer Proc. Math. Stat. 340, 227-233 (2020).
A case study on Hooley’s conditional proof of Artin’s primitive root conjecture. (English) Zbl 1464.11004
Cyclicity and exponents of CM elliptic curves modulo \(p\) in short intervals. (English) Zbl 1465.11148
The Thue-Morse and Rudin-Shapiro sequences at primes in principal number fields. (English) Zbl 1474.11191
Kummer theory for number fields and the reductions of algebraic numbers. II. (English) Zbl 1475.11211
Wave front holonomicity of \(\mathscr{C}^{\text{exp}}\)-class distributions on non-Archimedean logical fields. (English) Zbl 1454.14039
Reviewer: Immanuel Halupczok (Leeds)
Heights and principal ideals of certain cyclotomic fields. (English) Zbl 1453.11140
Chakraborty, Kalyan (ed.) et al., Class groups of number fields and related topics. Collected papers presented at the first international conference, ICCGNFRT, Harish-Chandra Research Institute, Allahabad, India, September 4–7, 2017. Singapore: Springer. 89-96 (2020).
Reviewer: Władysław Narkiewicz (Wrocław)
Möbius formulas for densities of sets of prime ideals. (English) Zbl 1446.11202
Reviewer: Henri Johnston (Exeter)
The average of the smallest prime in a conjugacy class. (English) Zbl 1453.11149
Reviewer: Balasubramanian Sury (Bangalore)
Gaussian primes in almost all narrow sectors. (English) Zbl 1453.11150
Reviewer: Balasubramanian Sury (Bangalore)
Polynomial products modulo primes and applications. (English) Zbl 1446.11030
Reviewer: Lajos Hajdu (Debrecen)
Probabilities of incidence between lines and a plane curve over finite fields. (English) Zbl 1432.51013
Arithmetic statistics of Galois groups. (English) Zbl 1516.11105
Scheidler, Renate (ed.) et al., ANTS XIII. Proceedings of the thirteenth algorithmic number theory symposium, University of Wisconsin-Madison, WI, USA, July 16–20, 2018. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 2, 353-374 (2019).
Distribution of prime ideals across ideal classes in the class groups. (English) Zbl 1455.11154
Reviewer: Władysław Narkiewicz (Wrocław)
Multiplicative order and Frobenius symbol for the reductions of number fields. (English) Zbl 1436.11138
Balakrishnan, Jennifer S. (ed.) et al., Research directions in number theory. Women in numbers IV. Proceedings of the women in numbers, WIN4 workshop. Banff International Research Station, Banff, Alberta, Canada, August 14–18, 2017. Cham: Springer. Assoc. Women Math. Ser. 19, 161-171 (2019).
Finite codimensional maximal ideals in subalgebras of ultrametric uniformly continuous functions. (English) Zbl 1452.46057
Reviewer: Sergey Ludkovsky (Moskva)
Lower estimates for the prime ideal of degree one counting function in the Chebotarev density theorem. (English) Zbl 1462.11105
Bernstein-Sato identities and conformal symmetry breaking operators. (English) Zbl 1428.42045
Reviewer: Dong Dong (College Park)
Kummer theory for number fields and the reductions of algebraic numbers. (English) Zbl 1451.11123
Reviewer: Piotr Krasoń (Szczecin)
Formulas for Chebotarev densities of Galois extensions of number fields. (English) Zbl 1459.11218
Reviewer: Toufik Zaïmi (Riyadh)
A unified and improved Chebotarev density theorem. (English) Zbl 1443.11239
Reviewer: Günter Lettl (Graz)
MSC:
11R44
An explicit upper bound for the least prime ideal in the Chebotarev density theorem. (Une borne explicite pour le plus petit idéal premier dans le théorème de densité de Chebotarev.) (English. French summary) Zbl 1443.11238
Reviewer: Henri Johnston (Exeter)
Explicit counting of ideals and a Brun-Titchmarsh inequality for the Chebotarev density theorem. (English) Zbl 1456.11218
The least prime ideal in the Chebotarev density theorem. (English) Zbl 1452.11135
Reviewer: Władysław Narkiewicz (Wrocław)
A note on the least prime that splits completely in a nonabelian Galois number field. (English) Zbl 1448.11204
Reviewer: Władysław Narkiewicz (Wrocław)
An explicit Chebotarev density theorem under GRH. (English) Zbl 1443.11236
Reviewer: Thomas Oliver (Nottingham)
On the asymptotics of a prime spin relation. (English) Zbl 1429.11196
J. Number Theory 200, 407-426 (2019); corrigendum ibid. 240, 751-753 (2022).
Reviewer: Alessandro Cobbe (Neubiberg)
Algorithms for \(D\)-modules, integration, and generalized functions with applications to statistics. (English) Zbl 1411.13037
Hibi, Takayuki (ed.), The 50th anniversary of Gröbner bases. Proceedings of the 8th Mathematical Society of Japan-Seasonal Institute (MSJ-SI 2015), Osaka, Japan, July 1–10, 2015. Tokyo: Mathematical Society of Japan (MSJ). Adv. Stud. Pure Math. 77, 253-352 (2018).
A Chebotarev variant of the Brun-Titchmarsh theorem and bounds for the Lang-Trotter conjectures. (English) Zbl 1447.11115
Reviewer: Władysław Narkiewicz (Wrocław)
Calculating the density of solutions of equations related to the Pólya-Ostrowski group through Markov chains. (English) Zbl 1434.11028
Reductions of one-dimensional tori. II. (English) Zbl 1445.11133
Bouw, Irene I. (ed.) et al., Women in numbers Europe II. Contributions to number theory and arithmetic geometry. Proceedings of the 2nd conference, Leiden, The Netherlands, September 26–30, 2016. Cham: Springer. Assoc. Women Math. Ser. 11, 35-37 (2018).
Reductions of algebraic integers. II. (English) Zbl 1414.11156
Bouw, Irene I. (ed.) et al., Women in numbers Europe II. Contributions to number theory and arithmetic geometry. Proceedings of the 2nd conference, Leiden, The Netherlands, September 26–30, 2016. Cham: Springer. Assoc. Women Math. Ser. 11, 19-33 (2018).
On the number of ramified primes in specializations of function fields over \(\mathbb Q\). (English) Zbl 1443.11240
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