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1. Moments of non-normal number fields-II NSTL国家科技图书文献中心

Krishnamoorthy, Kris... -  《Monatshefte fur Mathematik》 - 2025,206(3) - 583~596 - 共14页

摘要: moments of the corresponding Dedekind zeta-function. We | Suppose K is a number field and aK(m | )documentclass[12pt]{minimal} usepackage{amsmath} usepackage | {wasysym} usepackage{amsfonts} usepackage{amssymb | } usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek
关键词: Moments |  Dedekind zeta-function |  Artin L functions

2. Mean values related to the Dedekind zeta-function NSTL国家科技图书文献中心

Tang, Hengcai |  Wang, Youjun -  《Czechoslovak Mathematical Journal》 - 2024,74(4) - 1265~1274 - 共10页

摘要:) + ax(2) + bx + c. Denote by zeta k(s) the Dedekind |  zeta-function of the field K and a(K)(n) the number | Let K/& Qopf; be a nonnormal cubic extension |  which is given by an irreducible polynomial g(x) = x(3 |  of integral ideals in K with norm n. In this note
关键词: cusp form |  Dedekind zeta-function |  L-function

3. THE ASYMPTOTIC DISTRIBUTION OF COEFFICIENTS OF THE DEDEKIND ZETA-FUNCTION OVER A SPARSE SEQUENCE NSTL国家科技图书文献中心

Liu, Huafeng |  Lao, Huixue -  《Colloquium Mathematicum》 - 2024,175(1) - 13~30 - 共18页

摘要: Dedekind zetafunction zeta(K3) (s) over the sparse | Suppose that K-3 is a non-normal cubic |  extension over the rational field Q. We study the |  asymptotic distribution of the coefficients aK3 (n) of the |  sequence {n(1)(2) +n(2)(2)}. More precisely, we establish
关键词: non-normal cubic field |  Dedekind zeta-function |  sparse sequence |  INTEGRAL IDEALS |  SYMMETRIC CUBE |  NUMBER |  SQUARE

4. The distribution of coefficients attached to the Dedekind zeta function over certain sparse sequences NSTL国家科技图书文献中心

Hua, G. D. -  《Acta mathematica Hungarica》 - 2024,174(2) - 376~407 - 共32页

摘要: coefficient of the Dedekind zeta function zeta K3(s |  divisor function. | Let K3documentclass[12pt]{minimal} usepackage | {amsmath} usepackage{wasysym} usepackage{amsfonts | } usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs
关键词: non-normal cubic field |  Dekekind zeta function |  divisor problem

5. The general divisor problem of higher moments of coefficients attached to the Dedekind zeta function NSTL国家科技图书文献中心

Hua, Guodong -  《The Ramanujan journal》 - 2024,65(2) - 573~592 - 共20页

摘要: zeta function over sum of two squares of the form |  divisor function in the number field K3/Qdocumentclass |  moments of the coefficients attached to the Dedekind | Let K3documentclass[12pt]{minimal} usepackage | {amsmath} usepackage{wasysym} usepackage{amsfonts
关键词: Non-normal cubic field |  Dekekind zeta function |  Divisor problem |  FOURIER COEFFICIENTS |  PLANCHEREL MEASURES |  INTEGRAL IDEALS |  EULER PRODUCTS |  CUSP FORMS |  NUMBER |  CLASSIFICATION...

6. A closed-form expression for the Euler–Kronecker constant of a quadratic field NSTL国家科技图书文献中心

Khurana Suraj Singh -  《The Ramanujan journal》 - 2024,63(2) - 507~526 - 共20页

摘要: of the Dedekind zeta function at the point s |  series expansion of the Dedekind zeta function at s | Abstract Given a number field, the Euler | –Kronecker constant is defined as the constant term in the |  Laurent series expansion of the logarithmic derivative
关键词: Dedekind zeta function |  Euler–Kronecker constant |  Closed-form expression |  11M41

7. A NEW PROGRAM FOR THE ENTIRE FUNCTIONS IN NUMBER THEORY NSTL国家科技图书文献中心

Yang, Xiao-jun -  《Fractals: An interdisciplinary journal on the complex geometry of nature》 - 2024,32(4) - 共12页 - 被引量:1

摘要: Dedekind zeta function, completed quadratic Dirichlet L | -functions, completed Ramanujan zeta function and completed |  automorphic L-function. These lead to the contribution to | In this paper, we propose a new program for |  introducing the sign of the functional equation to present
关键词: Entire Function |  Diffusion Equation |  Completed Dedekind Zeta Function |  Completed Quadratic Dirichlet L-Functions |  Completed Ramanujan Zeta Function |  Completed Automorphic L-Function |  ZEROS

8. Arithmetic equivalence under isoclinism NSTL国家科技图书文献中心

Masanari Kida -  《Communications in algebra》 - 2024,52(7/8) - 3010~3017 - 共8页

摘要: arithmetically equivalent if the Dedekind zeta functions of the | Two algebraic number fields are called |  fields coincide. We show that if a G-extension contains |  non-conjugate arithmetically equivalent fields and |  there is an injection from G to another group H
关键词: Arithmetically equivalent fields |  Dedekind zeta function |  Gassmann equivalence |  isoclinism

9. MOMENTS OF AVERAGES OF RAMANUJAN SUMS OVERNUMBER FIELDS NSTL国家科技图书文献中心

Chaubey, Sneha |  Goel, Shivani -  《Functiones et Approximatio Commentarii Mathematici》 - 2024,71(1) - 共20页

摘要:Assuming the generalized Lindel & ouml;f |  hypothesis, we provide asymptotic formulas forthe mean |  values of the first and second moments of Ramanujan |  sums over any number field. Additionally | , unconditionally, we estimate the second moment of Ramanujan sums
关键词: Ramanujan sums |  number fields |  Dedekind zeta function |  Lindelof hypothesis

10. Universal quadratic forms and Dedekind zeta functions NSTL国家科技图书文献中心

Vítězslav Kala |  Mentzelos Melistas -  《International journal of number theory》 - 2024,20(7) - 1833~1847 - 共15页

摘要: totally real number fields using Dedekind zeta functions | We study universal quadratic forms over | . In particular, we prove an explicit lower bound for |  the rank of universal quadratic forms over a given |  number field K, under the assumption that the
关键词: Universal quadratic form |  Dedekind Zeta function |  quadratic lattice |  totally real field
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