NSTL国家科技图书文献中心

1. On the geometric trace of a generalized Selberg trace formula NSTL国家科技图书文献中心

Biro, Andras | Toth, David - 《Forum mathematicum》 - 2025,37(2) - 547～579 - 共33页

摘要： classical Selberg* trace formula it was obtained by* | A certain generalization of the Selberg trace | generalization of this generalized trace* formula: we consider* | formula was proved by the first named author in 1999. In | operator. This formula* was proved for discrete subgroups*

关键词： Selberg trace formula | discrete subgroups of PSL(2, R)(n)

2. Some analysis of two generalized Heisenberg groups NSTL国家科技图书文献中心

Xu, Hailong - 《Indian Journal of Pure and Applied Mathematics》 - 2024,55(1) - 153～167 - 共15页

摘要： Selberg trace formula and spectral decomposition ofL2 | This paper studies two generalized Heisenberg | groups:H-n:=R(n)xR(n)xRforn > 1 and G:=RxRxR(2). More | precisely, we first classify uniform lattices and then | give an explicit description of spectraldecomposition

关键词： Generalized Heisenberg group | Dual space | Spectral decomposition

3. COUNTING DISCRETE, LEVEL-1, QUATERNIONIC AUTOMORPHIC REPRESENTATIONS ON G 2 NSTL国家科技图书文献中心

Dalal, Rahul - 《Journal of the Institute of Mathematics of Jussieu: JIMJ》 - 2024,23(5) - 2127～2157 - 共31页

摘要： 'hyperendoscopy' techniques to develop a general trace formula | ) , eventually getting an analog of the Eichler-Selberg trace | specialize this general formula* to study quaternionic* | formula for classical modular forms. We finally use this | Quaternionic automorphic representations are

关键词： Trace Formula | G2 | Endoscopy | Dimension Formulas | Automorphic Representations | CLASSICAL-GROUPS | MODULAR-FORMS | MULTIPLICITIES | THEOREM

4. Simultaneous non-vanishing of central values of GL(2) x GL(3) and GL(3) L-functions NSTL国家科技图书文献中心

Maiti, Gopal | Mallesham, Kummari - 《Journal of Number Theory》 - 2024,255 - 62～84 - 共23页

摘要：We study simultaneous non-vanishing of L(12, F | ) and L(12, g circle times F), when F runs over an | orthogonal basis of the space of Hecke-Maass cusp forms for | SL(3, Z) and g is a fixed SL(2, Z) holomorphic | Hecke cusp form of weight k equivalent to 0 (mod 4

关键词： Rankin-Selberg L-functions | Kuznetsov trace formula | Simultaneous non-vanishing | GL(3) L-function | AUTOMORPHIC L-FUNCTIONS | DIRICHLET L-FUNCTIONS | TWISTS | MOLLIFICATION

5. The twisted Selberg trace formula and the twisted Selberg zeta function for compact orbifolds NSTL国家科技图书文献中心

Fedosova Ksenia - 《Mathematische Zeitschrift》 - 2023,305(1) - 共5页 - 被引量：1

摘要： trace formula for compact hyperbolic orbifolds ΓH2n | Abstract We propose a version of the Selberg | associated Selberg* zeta function admits a meromorphic* | +1documentclass[12pt]{minimal} usepackage{amsmath} usepackage | {wasysym} usepackage{amsfonts} usepackage{amssymb

关键词： Selberg trace formula | Selberg zeta function | Spectral theory | 11F72 | 11M36

6. Twisted Ruelle zeta function at zero for compact hyperbolic surfaces NSTL国家科技图书文献中心

Frahm, Jan | Spilioti, Polyxeni - 《Journal of Number Theory》 - 2023,243 - 38～61 - 共24页 - 被引量：3

摘要： the twisted Selberg* and Ruelle zeta functions* | Let X be an orientable compact connected | hyperbolic surface of genus g. In this paper, we prove that | , associated with an arbitrary finite -dimensional complex | representation chi of pi 1(X) admit a meromorphic continuation

关键词： Twisted Selberg zeta function | Twisted Ruelle zeta function | Non-unitary representations | Selberg trace formula | SELBERG TRACE FORMULA | TORSION

7. Bias of root numbers for Hilbert newforms of cubic level NSTL国家科技图书文献中心

Luo, Zhilin | Pi, Qinghua ... - 《Journal of Number Theory》 - 2023,243 - 62～116 - 共55页

摘要：-Zagier's trace* formula, and the explicit calculation* | We give a general formula* of the bias of root* | numbers for Hilbert modular newforms of cubic level | . Explicit calculation is given when the base field is Q, Q | (v/2), Q(v/5) and the level is the cube of certain

关键词： Trace formula | Simple supercuspidal representation | Root number | SELBERG TRACE FORMULA

8. Discrete diffusion-type equation on regular graphs and its applications NSTL国家科技图书文献中心

Cadavid, Carlos A. | Hoyos, Paulina ... - 《Journal of difference equations and applications》 - 2023,29(1/4) - 455～488 - 共34页 - 被引量：1

摘要：. The first one is to derive a general trace formula | We derive an explicit formula* for the* | the formula* to derive an explicit expression for the* | fundamental solution KTq+1 (x, x(0); t) to the discrete-time | diffusion equation on the (q + 1)- regular tree Tq+1 in

关键词： Heat kernel | Bessel function | regular tree and graph | trace formula | SELBERG TRACE FORMULA | HEAT KERNELS | ZETA-FUNCTIONS | GREEN KERNEL | ASYMPTOTICS

9. Discrete diffusion-type equation on regular graphs and its applications NSTL国家科技图书文献中心

Cadavid, Carlos A. | Hoyos, Paulina ... - 《Journal of difference equations and applications》 - 2023,29(1/4) - 455～488 - 共34页

摘要：. The first one is to derive a general trace formula | We derive an explicit formula* for the* | the formula* to derive an explicit expression for the* | fundamental solution KTq+1 (x, x(0); t) to the discrete-time | diffusion equation on the (q + 1)- regular tree Tq+1 in

关键词： Heat kernel | Bessel function | regular tree and graph | trace formula | SELBERG TRACE FORMULA | HEAT KERNELS | ZETA-FUNCTIONS | GREEN KERNEL | ASYMPTOTICS

10. GOE statistics on the moduli space of surfaces of large genus NSTL国家科技图书文献中心

Rudnick Zeév - 《Geometric and functional analysis: GAFA》 - 2023,33(6) - 1581～1607 - 共27页

摘要： essential use of Mirzakhani’s integration formula. | Abstract For a compact hyperbolic surface, we | define a smooth linear statistic, mimicking the number | of Laplace eigenvalues in a short energy window. We | study the variance of this statistic, when averaged

关键词： Moduli space | Riemann surface | Selberg trace formula | Gaussian orthogonal ensemble | Random matrix theory | Laplacian | Quantum chaos | Mirzakhani’s integration formula

摘要： classical Selberg trace formula it was obtained by | A certain generalization of the Selberg trace | generalization of this generalized trace formula: we consider | formula was proved by the first named author in 1999. In | operator. This formula was proved for discrete subgroups

关键词： Selberg trace formula | discrete subgroups of PSL(2, R)(n)

摘要： Selberg trace formula and spectral decomposition ofL2 | This paper studies two generalized Heisenberg | groups:H-n:=R(n)xR(n)xRforn > 1 and G:=RxRxR(2). More | precisely, we first classify uniform lattices and then | give an explicit description of spectraldecomposition

关键词： Generalized Heisenberg group | Dual space | Spectral decomposition

摘要： 'hyperendoscopy' techniques to develop a general trace formula | ) , eventually getting an analog of the Eichler-Selberg trace | specialize this general formula to study quaternionic | formula for classical modular forms. We finally use this | Quaternionic automorphic representations are

关键词： Trace Formula | G2 | Endoscopy | Dimension Formulas | Automorphic Representations | CLASSICAL-GROUPS | MODULAR-FORMS | MULTIPLICITIES | THEOREM

摘要：We study simultaneous non-vanishing of L(12, F | ) and L(12, g circle times F), when F runs over an | orthogonal basis of the space of Hecke-Maass cusp forms for | SL(3, Z) and g is a fixed SL(2, Z) holomorphic | Hecke cusp form of weight k equivalent to 0 (mod 4

关键词： Rankin-Selberg L-functions | Kuznetsov trace formula | Simultaneous non-vanishing | GL(3) L-function | AUTOMORPHIC L-FUNCTIONS | DIRICHLET L-FUNCTIONS | TWISTS | MOLLIFICATION

摘要： trace formula for compact hyperbolic orbifolds ΓH2n | Abstract We propose a version of the Selberg | associated Selberg zeta function admits a meromorphic | +1documentclass[12pt]{minimal} usepackage{amsmath} usepackage | {wasysym} usepackage{amsfonts} usepackage{amssymb

关键词： Selberg trace formula | Selberg zeta function | Spectral theory | 11F72 | 11M36

摘要： the twisted Selberg and Ruelle zeta functions | Let X be an orientable compact connected | hyperbolic surface of genus g. In this paper, we prove that | , associated with an arbitrary finite -dimensional complex | representation chi of pi 1(X) admit a meromorphic continuation

关键词： Twisted Selberg zeta function | Twisted Ruelle zeta function | Non-unitary representations | Selberg trace formula | SELBERG TRACE FORMULA | TORSION

摘要：-Zagier's trace formula, and the explicit calculation | We give a general formula of the bias of root | numbers for Hilbert modular newforms of cubic level | . Explicit calculation is given when the base field is Q, Q | (v/2), Q(v/5) and the level is the cube of certain

关键词： Trace formula | Simple supercuspidal representation | Root number | SELBERG TRACE FORMULA

摘要：. The first one is to derive a general trace formula | We derive an explicit formula for the | the formula to derive an explicit expression for the | fundamental solution KTq+1 (x, x(0); t) to the discrete-time | diffusion equation on the (q + 1)- regular tree Tq+1 in

关键词： Heat kernel | Bessel function | regular tree and graph | trace formula | SELBERG TRACE FORMULA | HEAT KERNELS | ZETA-FUNCTIONS | GREEN KERNEL | ASYMPTOTICS

摘要：. The first one is to derive a general trace formula | We derive an explicit formula for the | the formula to derive an explicit expression for the | fundamental solution KTq+1 (x, x(0); t) to the discrete-time | diffusion equation on the (q + 1)- regular tree Tq+1 in

关键词： Heat kernel | Bessel function | regular tree and graph | trace formula | SELBERG TRACE FORMULA | HEAT KERNELS | ZETA-FUNCTIONS | GREEN KERNEL | ASYMPTOTICS

摘要： essential use of Mirzakhani’s integration formula. | Abstract For a compact hyperbolic surface, we | define a smooth linear statistic, mimicking the number | of Laplace eigenvalues in a short energy window. We | study the variance of this statistic, when averaged

关键词： Moduli space | Riemann surface | Selberg trace formula | Gaussian orthogonal ensemble | Random matrix theory | Laplacian | Quantum chaos | Mirzakhani’s integration formula

4008-161-200 800-990-8900

国家科技图书文献中心

摘要： classical Selberg* trace formula it was obtained by* | A certain generalization of the Selberg trace | generalization of this generalized trace* formula: we consider* | formula was proved by the first named author in 1999. In | operator. This formula* was proved for discrete subgroups*

摘要： trace formula for compact hyperbolic orbifolds ΓH2n | Abstract We propose a version of the Selberg | associated Selberg* zeta function admits a meromorphic* | +1documentclass[12pt]{minimal} usepackage{amsmath} usepackage | {wasysym} usepackage{amsfonts} usepackage{amssymb

摘要： the twisted Selberg* and Ruelle zeta functions* | Let X be an orientable compact connected | hyperbolic surface of genus g. In this paper, we prove that | , associated with an arbitrary finite -dimensional complex | representation chi of pi 1(X) admit a meromorphic continuation

摘要：-Zagier's trace* formula, and the explicit calculation* | We give a general formula* of the bias of root* | numbers for Hilbert modular newforms of cubic level | . Explicit calculation is given when the base field is Q, Q | (v/2), Q(v/5) and the level is the cube of certain

摘要：. The first one is to derive a general trace formula | We derive an explicit formula* for the* | the formula* to derive an explicit expression for the* | fundamental solution KTq+1 (x, x(0); t) to the discrete-time | diffusion equation on the (q + 1)- regular tree Tq+1 in

摘要：. The first one is to derive a general trace formula | We derive an explicit formula* for the* | the formula* to derive an explicit expression for the* | fundamental solution KTq+1 (x, x(0); t) to the discrete-time | diffusion equation on the (q + 1)- regular tree Tq+1 in