Suchergebnisse - "Selberg zeta functions and regularized determinants"

On the number of poles of the dynamical zeta functions for billiard flow

Autoren: Petkov, Vesselin

Quelle: Discrete and Continuous Dynamical Systems. 45:3174-3194

Schlagwörter: Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.), Selberg zeta functions and regularized determinants, applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas), dynamical zeta function, local trace formula, strip with infinite number of poles, Dynamical systems with hyperbolic orbits and sets, Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.), 37D20, 37D05, 37D40, 11M41, 11M36, FOS: Mathematics, billiard flow, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, Other Dirichlet series and zeta functions

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2407.17304

Joint universality theorem of Selberg zeta functions for principal congruence subgroups

Autoren: Hidehiko Mishou

Quelle: Journal of Number Theory. 227:235-264

Schlagwörter: Selberg zeta functions and regularized determinants, applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas), prime geodesic theorem, congruence subgroups, Selberg zeta functions, 0101 mathematics, value distribution, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7367586
https://doi.org/10.1016/j.jnt.2021.03.009
https://www.sciencedirect.com/science/article/pii/S0022314X21001050

On the variance of sums of arithmetic functions over primes in short intervals and pair correlation forL-functions in the Selberg class: On the variance of sums of arithmetic functions over primes in short intervals and pair correlation for \(L\)-functions in the Selberg class

Autoren: Bui, H. M. Keating, J. P. Smith, D. J.

Quelle: Bui, H M, Keating, J P & Smith, D J 2016, ' On the variance of sums of arithmetic functions over primes in short intervals and pair correlation for L-functions in the Selberg class ', Journal of the London Mathematical Society, vol. 94, no. 1, pp. 161-185 . https://doi.org/10.1112/jlms/jdw030
Bui, H M, Keating, J P & Smith, D J 2016, 'On the variance of sums of arithmetic functions over primes in short intervals and pair correlation for L-functions in the Selberg class', Journal of the London Mathematical Society, vol. 94, pp. 161-185. https://doi.org/10.1112/jlms/jdw030

Schlagwörter: Selberg zeta functions and regularized determinants, applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas), pair correlation, Mathematics - Number Theory, \(L\)-functions, 16. Peace & justice, 01 natural sciences, Nonreal zeros of \(\zeta (s)\) and \(L(s, \chi)\), Riemann and other hypotheses, Selberg class, Distribution of primes, primes in short intervals, 11M06, 11M26, 11M50, FOS: Mathematics, Number Theory (math.NT), arithmetic function, 0101 mathematics, Other Dirichlet series and zeta functions

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: http://arxiv.org/pdf/1506.03741
http://arxiv.org/abs/1506.03741
http://export.arxiv.org/pdf/1506.03741
https://128.84.21.199/abs/1506.03741
https://arxiv.org/pdf/1506.03741.pdf
https://arxiv.org/abs/1506.03741v1
https://research-information.bris.ac.uk/en/publications/1da8c3ea-07ad-4923-8a3e-077358781c55
https://hdl.handle.net/1983/1da8c3ea-07ad-4923-8a3e-077358781c55

Anosov vector fields and Fried sections

Autoren: Bismut, Jean-Michel Shen, Shu Université Paris-Saclay et al.

Weitere Verfasser: Bismut, Jean-Michel Shen, Shu Université Paris-Saclay et al.

Quelle: https://hal.science/hal-04586556 ; 2024.

Schlagwörter: Selberg zeta functions and regularized determinants, Uniformly hyperbolic systems, Functional analytic techniques in dynamical systems, zeta functions, Semi-classical techniques, MSC 11M36, 37D20, 37C30, 81Q20, [MATH]Mathematics [math]

Relation: info:eu-repo/semantics/altIdentifier/arxiv/2405.14583; ARXIV: 2405.14583

Verfügbarkeit: https://hal.science/hal-04586556

Joint value distribution for zeta functions in disjoint strips

Autoren: Hidehiko Mishou

Quelle: Monatshefte für Mathematik. 169:219-247

Schlagwörter: Selberg zeta functions and regularized determinants, applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas), Selberg class, zeta functions, universality, 0101 mathematics, Other Dirichlet series and zeta functions, value distribution, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/6133853
https://doi.org/10.1007/s00605-012-0449-y
https://link.springer.com/article/10.1007/s00605-012-0449-y
https://dialnet.unirioja.es/servlet/articulo?codigo=4265893
https://link.springer.com/content/pdf/10.1007%2Fs00605-012-0449-y.pdf

Bounds for the spectral mean value of central values of L-functions: Bounds for the spectral mean value of central values of \(L\)-functions

Autoren: Lu, Qing

Quelle: Journal of Number Theory. 132:1016-1037

Schlagwörter: Selberg zeta functions and regularized determinants, applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas), central value of \(L\)-functions, Algebra and Number Theory, Rankin-Selberg \(L\)-functions, Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols, Kuznetsov trace formula, Voronoi formula, 01 natural sciences, Central value of L-functions, L-functions, Number theory, Eisenstein series, Subconvexity bound, Langlands \(L\)-functions, one variable Dirichlet series and functional equations, subconvexity bound, FOS: Mathematics, 0101 mathematics, Spectral theory (Mathematics), Rankin–Selberg, Mathematics

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/6030256
https://doi.org/10.1016/j.jnt.2011.12.008
https://www.sciencedirect.com/science/article/pii/S0022314X12000066
https://core.ac.uk/display/82681040
https://math.columbia.edu/~thaddeus/theses/2011/lu.pdf
https://academiccommons.columbia.edu/doi/10.7916/D8H1381X
https://academiccommons.columbia.edu/doi/10.7916/D8J96DF5/download
http://www.sciencedirect.com/science/article/pii/S0022314X12000066

Hilbert-Asai Eisenstein series, regularized products, and heat kernels

Autoren: Jorgenson, Jay Lang, Serge

Quelle: Collected Papers Volume V ISBN: 9781461274094
Nagoya Math. J. 153 (1999), 155-188

Schlagwörter: Selberg zeta functions and regularized determinants, applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas), spectral formula, Other groups and their modular and automorphic forms (several variables), 16. Peace & justice, 01 natural sciences, 6. Clean water, 11F72, Hilbert-Asai Eisenstein series, spectral expansion, Eisenstein series, regularized products, heat Eisenstein series, 0101 mathematics, 11M36

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/E9C562AEE138735EA7FF4C4E53B14C2A/S0027763000006942a.pdf/div-class-title-hilbert-asai-eisenstein-series-regularized-products-and-heat-kernels-div.pdf
https://projecteuclid.org/journals/nagoya-mathematical-journal/volume-153/issue-none/Hilbert-Asai-Eisenstein-series-regularized-products-and-heat-kernels/nmj/1114630824.pdf
http://ci.nii.ac.jp/naid/110000023589
https://projecteuclid.org/journals/nagoya-mathematical-journal/volume-153/issue-none/Hilbert-Asai-Eisenstein-series-regularized-products-and-heat-kernels/nmj/1114630824.full
https://projecteuclid.org/download/pdf_1/euclid.nmj/1114630824
https://pure.mpg.de/pubman/faces/ViewItemOverviewPage.jsp?itemId=item_3125541
http://projecteuclid.org/euclid.nmj/1114630824

A limit theorem for the Hurwitz zeta function with an algebraic irrational parameter: A limit theorem for the Hurwitz zeta-function with algebraic irrational parameter

Autoren: A. Laurinčikas

Quelle: Journal of Mathematical Sciences. 137:4684-4689

Schlagwörter: Selberg zeta functions and regularized determinants, applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas), Probabilistic theory: distribution modulo \(1\), metric theory of algorithms, Hurwitz zeta-function, limit theorem, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://link.springer.com/article/10.1007/s00013-005-1190-8
https://eudml.org/doc/233171

Generalized Zeta Regularizations, Quantum Class Number Formulas, and Appell's O-Functions: Generalized zeta regularizations, quantum class number formulas, and Appell's \(O\)-functions

Autoren: Masato Wakayama Nobushige Kurokawa

Quelle: The Ramanujan Journal. 10:291-303

Schlagwörter: Selberg zeta functions and regularized determinants, applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas), \(q\)-gamma functions, \(q\)-beta functions and integrals, Real zeros of \(L(s, \chi)\), results on \(L(1, \chi)\), 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2247914
https://doi.org/10.1007/s11139-005-4851-0
https://tus.elsevierpure.com/en/publications/generalized-zeta-regularizations-quantum-class-number-formulas-an
https://link.springer.com/article/10.1007%2Fs11139-005-4851-0
https://link.springer.com/content/pdf/10.1007/s11139-005-4851-0.pdf
https://kyushu-u.pure.elsevier.com/en/publications/generalized-zeta-regularizations-quantum-class-number-formulas-an

On zeros of the derivative of the Selberg zeta function

Autoren: Wenzhi Luo

Quelle: American Journal of Mathematics. 127:1141-1151

Schlagwörter: Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Selberg zeta functions and regularized determinants, applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas), Nonreal zeros of \(\zeta (s)\) and \(L(s, \chi)\), Riemann and other hypotheses, Spectral theory, trace formulas (e.g., that of Selberg), Weyl formula, eigenvalues, 0101 mathematics, Selberg zeta function, cocompact Fuchsian group, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2223191
https://doi.org/10.1353/ajm.2005.0032
https://muse.jhu.edu/article/187804/summary

An arithmetic formula for certain coefficients of the Euler product of Hecke polynomials

Autoren: Xian-Jin Li

Quelle: Journal of Number Theory. 113:175-200

Schlagwörter: 11M26, 11M36, Nonreal zeros of \(\zeta (s)\) and \(L(s, \chi)\), Riemann and other hypotheses, Selberg zeta functions and regularized determinants, applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas), Algebra and Number Theory, Mathematics - Number Theory, Positivity condition, 0103 physical sciences, FOS: Mathematics, Number Theory (math.NT), 0101 mathematics, Weil's explicit formula, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/math/0403148
https://zbmath.org/2207354
https://doi.org/10.1016/j.jnt.2004.08.002
http://www.sciencedirect.com/science/article/pii/S0022314X04001763
https://ui.adsabs.harvard.edu/abs/2004math......3148L/abstract
https://www.sciencedirect.com/science/article/abs/pii/S0022314X04001763
https://core.ac.uk/display/81971250
https://www.sciencedirect.com/science/article/pii/S0022314X04001763

Zeta function and regularized determinant on a disc and on a cone

Autoren: Mauro Spreafico

Quelle: Journal of Geometry and Physics. 54:355-371

Schlagwörter: Zeta function, Selberg zeta functions and regularized determinants, applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas), Elliptic operators, Regularization, 0101 mathematics, 01 natural sciences, Determinants and determinant bundles, analytic torsion

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2182197
https://doi.org/10.1016/j.geomphys.2004.10.005
http://www.dmf.unisalento.it/~spreafico/JGP1.pdf
https://www.sciencedirect.com/science/article/pii/S0393044004001615

Hierarchy of the Selberg Zeta Functions: Hierarchy of the Selberg zeta functions

Autoren: Yasufumi Hashimoto Masato Wakayama

Quelle: Letters in Mathematical Physics. 73:59-70

Schlagwörter: Selberg zeta functions and regularized determinants, applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas), Mathematics - Number Theory, FOS: Physical sciences, Mathematical Physics (math-ph), 01 natural sciences, Riemann surface, multiple gamma function, Selberg's zeta-function, FOS: Mathematics, zeta regularized determinant, functional equation, Number Theory (math.NT), 0101 mathematics, Gamma, beta and polygamma functions, 11M36(primary), 33B15(secondary), Mathematical Physics

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/pdf/math-ph/0501047
http://arxiv.org/abs/math-ph/0501047
https://zbmath.org/2228442
https://doi.org/10.1007/s11005-005-6784-3
https://arxiv.org/abs/math-ph/0501047
https://arxiv.org/pdf/math-ph/0501047.pdf
https://link.springer.com/article/10.1007/s11005-005-6784-3
https://kyushu-u.pure.elsevier.com/en/publications/hierarchy-of-the-selberg-zeta-functions
https://ui.adsabs.harvard.edu/abs/2005LMaPh..73...59H/abstract
https://core.ac.uk/display/2556529
https://tus.elsevierpure.com/en/publications/hierarchy-of-the-selberg-zeta-functions

Eta invariants and regularized determinants for odd dimensional hyperbolic manifolds with cusps

Autoren: Jinsung Park

Quelle: American Journal of Mathematics. 127:493-534

Schlagwörter: Mathematics - Differential Geometry, Eta-invariants, Chern-Simons invariants, Selberg zeta functions and regularized determinants, applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas), Spectral theory, trace formulas (e.g., that of Selberg), finite volume spin hyperbolic manifolds, Selberg zeta function, 01 natural sciences, Mathematics - Spectral Theory, relative eta invariant, Differential Geometry (math.DG), Primary:58J28, 58J52, Secondary:11M36, FOS: Mathematics, relative determinant, 0101 mathematics, Spectral Theory (math.SP), Determinants and determinant bundles, analytic torsion

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/pdf/math/0111175
http://arxiv.org/abs/math/0111175
https://muse.jhu.edu/article/183326/pdf
https://www.jstor.org/stable/40067927

The Selberg trace formula and Selberg zeta-function for cofinite Kleinian groups with finite-dimensional unitary representations

Autoren: Joshua Samuel Friedman

Quelle: Mathematische Zeitschrift. 250:939-965

Schlagwörter: Selberg zeta functions and regularized determinants, applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas), 11F72, 11M36, Mathematics - Number Theory, Spectral theory, trace formulas (e.g., that of Selberg), 01 natural sciences, Mathematics - Spectral Theory, meromorphic continuation, FOS: Mathematics, Number Theory (math.NT), 0101 mathematics, Fuchsian groups and their generalizations (group-theoretic aspects), Spectral Theory (math.SP)

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/pdf/math/0410067
http://arxiv.org/abs/math/0410067
https://zbmath.org/2235456
https://doi.org/10.1007/s00209-005-0806-9
https://arxiv.org/abs/math/0410067v2
http://ui.adsabs.harvard.edu/abs/2004math.....10067F/abstract
https://arxiv.org/pdf/math/0410067v2
https://dialnet.unirioja.es/servlet/articulo?codigo=2807380
https://link.springer.com/article/10.1007%2Fs00209-005-0806-9
https://link.springer.com/content/pdf/10.1007%2Fs00209-005-0806-9.pdf
http://www.math.stonybrook.edu/~joshua/phdthesis/FriedmanThesis.pdf
https://core.ac.uk/display/21970387

A new approach to the spectral theory of the fourth moment of the Riemann zeta-function

Autoren: Bruggeman, R.W. Motohashi, Y. Analyse et al.

Weitere Verfasser: Bruggeman, R.W. Motohashi, Y. Analyse et al.

Quelle: Journal für die Reine und Angewandte Mathematik

Schlagwörter: Selberg zeta functions and regularized determinants, applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas), Mathematics - Number Theory, Spectral theory, trace formulas (e.g., that of Selberg), Riemann's zeta-function, Wiskunde en computerwetenschappen, spectral theory, 01 natural sciences, 11M06 (Primary), 11F70 (Secondary), Landbouwwetenschappen, Wiskunde: algemeen, \(\zeta (s)\) and \(L(s, \chi)\), FOS: Mathematics, Wiskunde en Informatica (WIIN), fourth moment, Number Theory (math.NT), 0101 mathematics, Mathematics

Dateibeschreibung: application/xml; image/pdf

Zugangs-URL: http://arxiv.org/pdf/math/0310104v2.pdf
http://arxiv.org/abs/math/0310104
https://zbmath.org/2143147
https://doi.org/10.1515/crll.2005.2005.579.75
https://research-portal.uu.nl/en/publications/a2bda12a-86d3-49fb-bc05-a59bfad83677
https://dspace.library.uu.nl/handle/1874/377841
https://www.degruyter.com/view/j/crll.2005.2005.issue-579/crll.2005.2005.579.75/crll.2005.2005.579.75.xml
https://arxiv.org/pdf/math/0310104
https://pure.mpg.de/pubman/faces/ViewItemOverviewPage.jsp?itemId=item_3124446
https://ui.adsabs.harvard.edu/abs/2003math.....10104B/abstract
https://www.arxiv-vanity.com/papers/math/0310104/
http://hdl.handle.net/21.11116/0000-0004-2E7E-D
https://dspace.library.uu.nl/handle/1874/377841

Determinants on lens spaces and cyclotomic units

Autoren: J. S. Dowker

Quelle: Journal of Physics A: Mathematical and General. 38:1049-1061

Schlagwörter: High Energy Physics - Theory, Selberg zeta functions and regularized determinants, applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas), Mathematics - Number Theory, High Energy Physics - Theory (hep-th), Cyclotomic extensions, FOS: Mathematics, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Number Theory (math.NT), Units and factorization, General Relativity and Quantum Cosmology, Determinants and determinant bundles, analytic torsion

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/pdf/hep-th/0408038
http://arxiv.org/abs/hep-th/0408038
https://arxiv.org/abs/hep-th/0408038
https://arxiv.org/pdf/hep-th/0408038.pdf
http://ui.adsabs.harvard.edu/abs/2005JPhA...38.1049D/abstract

SPECIAL VALUES OF THE SPECTRAL ZETA FUNCTION OF THE NON-COMMUTATIVE HARMONIC OSCILLATOR AND CONFLUENT HEUN EQUATIONS: Special values of the spectral zeta function of the non-commutative harmonic oscillator and confluent Heun equations

Autoren: Takashi Ichinose Masato Wakayama

Quelle: Kyushu Journal of Mathematics. 59:39-100

Schlagwörter: Selberg zeta functions and regularized determinants, applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas), Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.), 0101 mathematics, Hypergeometric functions, 01 natural sciences, Selfadjoint operator theory in quantum theory, including spectral analysis

Dateibeschreibung: application/xml

Zugangs-URL: https://www.jstage.jst.go.jp/article/kyushujm/59/1/59_1_39/_pdf
https://zbmath.org/2186552
https://doi.org/10.2206/kyushujm.59.39
http://ci.nii.ac.jp/naid/110001263492
https://www.jstage.jst.go.jp/article/kyushujm/59/1/59_1_39/_article
https://kyushu-u.pure.elsevier.com/en/publications/special-values-of-the-spectral-zeta-function-of-the-non-commutati
https://core.ac.uk/display/37845277
https://tus.elsevierpure.com/en/publications/special-values-of-the-spectral-zeta-function-of-the-non-commutati

Multiple finite Riemann zeta functions

Autoren: Kimoto Kazufumi Kurokawa Nobushige Matsumoto Sho et al.

Quelle: Acta Arithmetica. 116:173-187

Schlagwörter: Selberg zeta functions and regularized determinants, applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas), Mathematics - Number Theory, powerful numbers, 01 natural sciences, Euler product, divisor functions, complete symmetric polynomial, \(\zeta (s)\) and \(L(s, \chi)\), FOS: Mathematics, Asymptotic results on arithmetic functions, Number Theory (math.NT), 0101 mathematics, \(q\)-binomial coefficients, Riemann zeta-function, 11M36

Dateibeschreibung: application/xml

Zugangs-URL: https://www.impan.pl/shop/publication/transaction/download/product/82120?download.pdf
http://arxiv.org/abs/math/0404144
https://arxiv.org/pdf/math/0404144
https://arxiv.org/abs/math/0404144
http://ui.adsabs.harvard.edu/abs/2005AcAri.116..173K/abstract
https://kyushu-u.pure.elsevier.com/ja/publications/multiple-finite-riemann-zeta-functions
https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/acta-arithmetica/all/116/2/82120/multiple-finite-riemann-zeta-functions
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-aa116-2-5
http://www.math.u-ryukyu.ac.jp/~kimoto/pdf/MFRZfinal.pdf

Differential Algebraicity of Multiple Sine Functions: Differential algebraicity of multiple sine functions

Autoren: Nobushige Kurokawa Masato Wakayama

Quelle: Letters in Mathematical Physics. 71:75-82

Schlagwörter: Selberg zeta functions and regularized determinants, applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas), multiple gamma function, 0101 mathematics, multiple sine function, Gamma, beta and polygamma functions, 01 natural sciences, algebraic differential equations, zeta regularized product, Exponential and trigonometric functions

Dateibeschreibung: application/xml

Zugangs-URL: http://ui.adsabs.harvard.edu/abs/2005LMaPh..71...75K/abstract
https://link.springer.com/article/10.1007/s11005-004-5921-8
https://tus.elsevierpure.com/en/publications/differential-algebraicity-of-multiple-sine-functions
https://kyushu-u.pure.elsevier.com/ja/publications/differential-algebraicity-of-multiple-sine-functions
https://link.springer.com/content/pdf/10.1007/s11005-004-5921-8.pdf