Relevant bibliographies by topics / Selberg Zeta function

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Selberg Zeta function'

Author: Grafiati
Published: 4 June 2021
Last updated: 14 February 2022

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Journal articles on the topic "Selberg Zeta function"

1

Nagoshi, Hirofumi. "Selberg Zeta Functions over Function Fields." Journal of Number Theory 90, no. 2 (2001): 207–38. http://dx.doi.org/10.1006/jnth.2001.2658.

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IVIĆ, ALEKSANDAR. "ON THE RANKIN–SELBERG ZETA FUNCTION." Journal of the Australian Mathematical Society 93, no. 1-2 (2012): 101–13. http://dx.doi.org/10.1017/s1446788712000225.

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GARUNKŠTIS, Ramūnas. "GROWTH OF THE SELBERG ZETA-FUNCTION." Kyushu Journal of Mathematics 72, no. 2 (2018): 441–47. http://dx.doi.org/10.2206/kyushujm.72.441.

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Belovas, Igoris. "An inequality for the Selberg zeta-function, associated to the compact Riemann surface." Analele Universitatii "Ovidius" Constanta - Seria Matematica 27, no. 3 (2019): 37–44. http://dx.doi.org/10.2478/auom-2019-0032.

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AbstractWe consider the absolute values of the Selberg zeta-function, associated to the compact Riemann surface, at places symmetric with respect to the line ℛ(s) = 1/2. We prove an inequality for the Selberg zeta-function, extending the result of R. Garunkštis and A. Grigutis.
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Voros, A. "Spectral functions, special functions and the Selberg zeta function." Communications in Mathematical Physics 110, no. 3 (1987): 439–65. http://dx.doi.org/10.1007/bf01212422.

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DEITMAR, ANTON, and J. WILLIAM HOFFMAN. "THE IHARA–SELBERG ZETA FUNCTION FOR PGL3 AND HECKE OPERATORS." International Journal of Mathematics 17, no. 02 (2006): 143–55. http://dx.doi.org/10.1142/s0129167x06003412.

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A weak version of the Ihara formula is proved for zeta functions attached to quotients of the Bruhat–Tits building of PGL3. This formula expresses the zeta function in terms of Hecke-operators. It is the first step towards an arithmetical interpretation of the combinatorially defined zeta function.
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Akiyama, Shigeki, and Yoshio Tanigawa. "The Selberg trace formula for modular correspondences." Nagoya Mathematical Journal 117 (March 1990): 93–123. http://dx.doi.org/10.1017/s0027763000001823.

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In Selberg [11], he introduced the trace formula and applied it to computations of traces of Hecke operators acting on the space of cusp forms of weight greater than or equal to two. But for the case of weight one, the similar method is not effective. It only gives us a certain expression of the dimension of the space of cusp forms by the residue of the Selberg type zeta function. Here the Selberg type zeta function appears in the contribution from the hyperbolic conjugacy classes when we write the trace formula with a certain kernel function ([3J, [4], [7], [8], [9], [12]).
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Koyama, Shin-ya. "Selberg zeta functions and Ruelle operators for function fields." Proceedings of the Japan Academy, Series A, Mathematical Sciences 67, no. 8 (1991): 255–59. http://dx.doi.org/10.3792/pjaa.67.255.

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GARUNKŠTIS, Ramūnas, and Jörn STEUDING. "On primeness of the Selberg zeta-function." Hokkaido Mathematical Journal 49, no. 3 (2020): 451–62. http://dx.doi.org/10.14492/hokmj/1607936537.

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10

Kim, Henry H. "Selberg zeta function on an exceptional domain." Manuscripta Mathematica 84, no. 1 (1994): 315–26. http://dx.doi.org/10.1007/bf02567459.

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Dissertations / Theses on the topic "Selberg Zeta function"

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Grigutis, Andrius. "Value distribution of Lerch and Selberg zeta-functions." Doctoral thesis, Lithuanian Academic Libraries Network (LABT), 2012. http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2012~D_20121227_085912-23915.

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The doctoral dissertation contains the material of scientific investigations done in 2008-2012 in the Faculty of Mathematics and Informatics at Vilnius University. The dissertation includes new theorems for the value distribution of Lerch and Selberg zeta-functions and computer calculations performed using the computational software program MATHEMATICA. The dissertation consists of the introduction, 3 chapters, the conclusions and the references. The results of the thesis are published in three scientific articles in Lithuanian and foreign journals, reported in scientific conferences in L
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2

Fedosova, Ksenia [Verfasser]. "Selberg zeta function and relative analytic torsion for hyperbolic odd-dimensional orbifolds / Ksenia Fedosova." Bonn : Universitäts- und Landesbibliothek Bonn, 2016. http://d-nb.info/1119888859/34.

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Galli, Daniele. "The Selberg Zeta Function: A golden thread through hyperbolic geometry, dynamics and number theory." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2019. http://amslaurea.unibo.it/18781/.

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This thesis deals with the profound relationship that exists between the dynamics on surfaces of negative curvature, some spectral aspects of hyperbolic geometry, and the ergodic properties of continued fractions. One of the most elegant results to reveal the connections between the geodesic flow on a surface of constant negative curvature and the spectrum of the Laplace-Beltrami operator is the celebrated trace formula of Selberg. From a standpoint which is not that of this thesis, one could say that any such trace formula represents one of the most direct connections between observations of
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4

Andersson, Johan. "Summation formulae and zeta functions." Doctoral thesis, Stockholm : Department of Mathematics, Stockholm University, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-1074.

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Grigutis, Andrius. "Lercho ir Selbergo dzeta funkcijų reikšmių pasiskirstymai." Doctoral thesis, Lithuanian Academic Libraries Network (LABT), 2012. http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2012~D_20121227_085932-21654.

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Disertaciją sudaro mokslinių tyrimų medžiaga, kurie atlikti 2008 -2012 metais Vilniaus universitete Matematikos ir informatikos fakultete. Disertacijoje įrodomos naujos teoremos apie Lercho ir Selbergo dzeta funkcijų reikšmių pasiskirstymą, atliekami kompiuteriniai skaičiavimai matematine programa MATHEMATICA. Disertaciją sudaro įvadas, 3 skyriai, išvados ir literatūros sąrašas. Disertacijos rezultatai atspausdinti trijuose moksliniuose straipsniuose, Lietuvos ir užsienio žurnaluose, pristatyti Lietuvoje ir užsienyje vykusiose mokslinėse konferencijose bei katedros seminarų metu. Pirmajame s
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Fraczek, Markus Szymon [Verfasser]. "Character deformation of the Selberg zeta function for congruence subgroups via the transfer operator / Markus Szymon Fraczek." Clausthal-Zellerfeld : Universitätsbibliothek Clausthal, 2013. http://d-nb.info/1030228469/34.

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Newland, Derek B. "Kernels in the Selberg trace formula on the k-regular tree and zeros of the Ihara zeta function /." Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC campuses, 2005. http://wwwlib.umi.com/cr/ucsd/fullcit?p3189204.

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Schulze, Michael. "On the resolvent of the Laplacian on functions for degenerating surfaces of finite geometry." Doctoral thesis, [S.l.] : [s.n.], 2004. http://deposit.ddb.de/cgi-bin/dokserv?idn=976324342.

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Bäcklund, Pierre. "Automorphic distributions and Selberg zeta functions /." Uppsala, 2005. http://www.math.uu.se/research/pub/Backlundlic.pdf.

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Brieussel, Jeremie. "Selberg Zeta Functions and Transfer Operators for Modular Groups." Thesis, Uppsala University, Department of Mathematics, 2004. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-121406.

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Books on the topic "Selberg Zeta function"

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An approach to the Selberg trace formula via the Selberg zeta-function. Springer-Verlag, 1987.

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Fischer, Jürgen. An Approach to the Selberg Trace Formula via the Selberg Zeta-Function. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0077696.

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Fraczek, Markus Szymon. Selberg Zeta Functions and Transfer Operators. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-51296-9.

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4

Bunke, Ulrich. Selberg zeta and theta functions: A differential operator approach. Akademie Verlag, 1995.

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5

1963-, Olbrich Martin, ed. Selberg zeta and theta functions: A differential operator approach. Akademie Verlag, 1995.

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6

Elstrodt, J. Groups acting on hyperbolic space: Harmonic analysis and number theory. Springer, 1998.

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7

An Approach to the Selberg Trace Formula Via the Selberg Zeta-Function. Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1987.

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Elstrodt, Juergen, Fritz Grunewald, and Jens Mennicke. Groups Acting on Hyperbolic Space: Harmonic Analysis and Number Theory (Springer Monographs in Mathematics). Springer, 1997.

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Book chapters on the topic "Selberg Zeta function"

1

Borthwick, David. "Selberg Zeta Function." In Progress in Mathematics. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-33877-4_10.

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2

Fraczek, Markus Szymon. "The Hurwitz Zeta Function and the Lerch Zeta Function." In Selberg Zeta Functions and Transfer Operators. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-51296-9_4.

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Fraczek, Markus Szymon. "The Gamma Function and the Incomplete Gamma Functions." In Selberg Zeta Functions and Transfer Operators. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-51296-9_3.

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4

Venkov, Alexei B. "The Theory of the Selberg Zeta-Function." In Spectral Theory of Automorphic Functions and Its Applications. Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-009-1892-4_7.

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Fischer, Jürgen. "The entire function Ξ associated with the selberg zeta-function." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0077700.

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Perry, Peter. "The Selberg zeta function and scattering poles for Kleinian groups." In CRM Proceedings and Lecture Notes. American Mathematical Society, 1995. http://dx.doi.org/10.1090/crmp/008/10.

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Patterson, Samuel J. "Selberg Sums: A New Perspective." In From Arithmetic to Zeta-Functions. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-28203-9_21.

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Fraczek, Markus Szymon. "Introduction." In Selberg Zeta Functions and Transfer Operators. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-51296-9_1.

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Fraczek, Markus Szymon. "Preliminaries." In Selberg Zeta Functions and Transfer Operators. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-51296-9_2.

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10

Fraczek, Markus Szymon. "Computation of the Spectra and Eigenvectors of Large Complex Matrices." In Selberg Zeta Functions and Transfer Operators. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-51296-9_5.

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Conference papers on the topic "Selberg Zeta function"

1

Wolpert, Scott A. "ASYMPTOTICS OF THE SELBERG ZETA FUNCTION AND THE POLYAKOV BOSONIC INTEGRAND." In Proceedings of the Conference on Mathematical Aspects of String Theory. WORLD SCIENTIFIC, 1987. http://dx.doi.org/10.1142/9789812798411_0017.

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