Výsledky vyhledávání - "relations with automorphic forms and functions)"

On Siegel’s product formulas for quadratic forms over algebraic number fields in higher dimensional cases: On Siegel's product formulas for quadratic forms over algebraic number fields in higher dimensional cases

Autoři: Kojima, Hisashi Sakata, Hiroshi

Zdroj: The Journal of Analysis. 33:619-646

Témata: Analysis on other specific Lie groups, Quadratic forms over global rings and fields, theta series, Analytic theory (Epstein zeta functions, relations with automorphic forms and functions), Automorphic functions in symmetric domains, Theta series, Weil representation, theta correspondences, Siegel modular groups, Siegel and Hilbert-Siegel modular and automorphic forms, General theory of automorphic functions of several complex variables, automorphic forms, Siegel main theorem, analytic theory of quadratic forms, quadratic forms, Automorphic forms in several complex variables

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8035913
https://doi.org/10.1007/s41478-024-00850-0

The Prime Geodesic Theorem in Arithmetic Progressions: The prime geodesic theorem in arithmetic progressions

Autoři: Chatzakos, Dimitrios Harcos, Gergely Kaneko, Ikuya

Zdroj: International Mathematics Research Notices. 2024:13180-13190

Témata: arithmetic progression, prime geodesic theorem, Mathematics - Number Theory, Analytic theory (Epstein zeta functions, relations with automorphic forms and functions), Arithmetic progressions, \(\zeta (s)\) and \(L(s, \chi)\), FOS: Mathematics, Structure of modular groups and generalizations, arithmetic groups, Number Theory (math.NT), 11F72 (primary), 11M36 (secondary)

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2309.04186

An explicit formula for the extended Gross-Keating datum of a quadratic form

Autoři: Cho, Sungmun Ikeda, Tamotsu Katsurada, Hidenori a další

Zdroj: Mathematics of Computation.

Témata: local field, Gross-Keating invariant, Mathematics - Number Theory, Quadratic forms over local rings and fields, Analytic theory (Epstein zeta functions, relations with automorphic forms and functions), FOS: Mathematics, Siegel-Eisenstein series, Number Theory (math.NT), 0101 mathematics, 11E08, 11E95, \(p\)-adic theory, 01 natural sciences, quadratic form

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/1709.02772

Casimir effect in 2+1 Hořava gravity: Casimir effect in \(2+1\) Hořava gravity

Autoři: Claudio Bórquez Byron Droguett

Zdroj: Physics Letters B, Vol 844, Iss, Pp 138096-(2023)
Physics Letters

Témata: High Energy Physics - Theory, Casimir effect in quantum field theory, Membranes, Physics, QC1-999, Classical and relativistic thermodynamics, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Relativistic gravitational theories other than Einstein's, including asymmetric field theories, 01 natural sciences, General Relativity and Quantum Cosmology, Boundary value problems for linear higher-order PDEs, High Energy Physics - Theory (hep-th), Analytic theory (Epstein zeta functions, relations with automorphic forms and functions), 0103 physical sciences

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2301.04566
https://doaj.org/article/104fae0c99114a96924605a7ce35aa10

Local optimality of cubic lattices for interaction energies

Autoři: Bétermin, Laurent

Zdroj: Analysis and Mathematical Physics. 9:403-426

Témata: cubic lattices, Critical phenomena in equilibrium statistical mechanics, Lennard-Jones potential, FOS: Physical sciences, interaction potentials, Mathematical Physics (math-ph), theta functions, stability, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, 01 natural sciences, lattice energy, Stability problems for problems in Hamiltonian and Lagrangian mechanics, Analytic theory (Epstein zeta functions, relations with automorphic forms and functions), Mathematics - Classical Analysis and ODEs, crystals, Classical Analysis and ODEs (math.CA), FOS: Mathematics, local minimum, ground state, 0101 mathematics, Statistical mechanics of crystals, Mathematical Physics

Popis souboru: application/xml

Přístupová URL adresa: https://arxiv.org/pdf/1611.07798.pdf
http://arxiv.org/abs/1611.07798
https://zbmath.org/7074230
https://doi.org/10.1007/s13324-017-0205-5
https://hal.archives-ouvertes.fr/hal-01401382/document
http://ui.adsabs.harvard.edu/abs/2019AnMP....9..403B/abstract
https://hal.archives-ouvertes.fr/hal-01401382
https://link.springer.com/article/10.1007%2Fs13324-017-0205-5

On Dirichlet Series for Sums of Squares: On Dirichlet series for sums of squares

Autoři: Borwein, Jonathan Michael Choi, Kwok-Kwong Stephen

Zdroj: Developments in Mathematics ISBN: 9781441953957

Témata: sums of squares, L-functions, Analytic theory (Epstein zeta functions, relations with automorphic forms and functions), disjoint discriminants, \(L\)-functions, 4. Education, binary quadratic forms, Dirichlet series, Other Dirichlet series and zeta functions, Sums of squares and representations by other particular quadratic forms, closed forms

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2022021
https://doi.org/10.1023/a:1026230709945
https://link.springer.com/content/pdf/10.1023/A:1026230709945.pdf
https://rd.springer.com/chapter/10.1007/978-1-4757-6044-6_9
https://link.springer.com/chapter/10.1007/978-1-4757-6044-6_9
http://docserver.carma.newcastle.edu.au/142/
https://www.math.mcgill.ca/goren/cnta7/analytic/Choi.pdf

The Representation of Integers as Sums of Squares: The representation of integers as sums of squares.

Autoři: Goro Shimura

Zdroj: Collected Papers V ISBN: 9783319325477

Témata: sums of squares, Quadratic forms over global rings and fields, Analytic theory (Epstein zeta functions, relations with automorphic forms and functions), Gauss sum, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 0101 mathematics, Sums of squares and representations by other particular quadratic forms, 01 natural sciences, 7. Clean energy, number of representations

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1827694
https://doi.org/10.1353/ajm.2002.0030
https://dialnet.unirioja.es/servlet/articulo?codigo=689994
https://documat.unirioja.es/servlet/articulo?codigo=689994

On the asymptotics of the number of reduced integral quadratic forms with a condition of divisibility of the first coefficients

Autoři: U. M. Pachev

Zdroj: Siberian Mathematical Journal. 48:300-310

Témata: Analytic theory (Epstein zeta functions, relations with automorphic forms and functions), \(\zeta (s)\) and \(L(s, \chi)\), second-order vector-matrix, reduced binary quadratic form, divisibility of coefficients, 0101 mathematics, discrete ergodic method, 01 natural sciences, 0105 earth and related environmental sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/5379361
https://link.springer.com/article/10.1007/s11202-007-0031-3
https://rd.springer.com/article/10.1007/s11202-007-0031-3
https://dialnet.unirioja.es/servlet/articulo?codigo=2281723
https://link.springer.com/content/pdf/10.1007/s11202-007-0031-3.pdf

On the zero-distribution of Epstein zeta-functions

Autoři: Jörn Steuding

Zdroj: Mathematische Annalen. 333:689-697

Témata: Analytic theory (Epstein zeta functions, relations with automorphic forms and functions), 0101 mathematics, Other Dirichlet series and zeta functions, Epstein zeta-function, 01 natural sciences, quadratic forms, zero-distribution

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2230000
https://doi.org/10.1007/s00208-005-0695-6
https://link.springer.com/10.1007%2Fs00208-005-0695-6
https://link.springer.com/article/10.1007/s00208-005-0695-6

A remark on a conjecture of Borwein and Choi

Autoři: Robert Osburn

Zdroj: Proceedings of the American Mathematical Society. 133:2903-2909

Témata: Sums of squares, Mathematics - Number Theory, 06 humanities and the arts, 01 natural sciences, 11E25, 11E45 (Primary), Analytic theory (Epstein zeta functions, relations with automorphic forms and functions), FOS: Mathematics, 0601 history and archaeology, Number Theory (math.NT), 0101 mathematics, Quadratic forms, Sums of squares and representations by other particular quadratic forms, Other Dirichlet series and zeta functions, Analytic theory

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: https://www.ams.org/proc/2005-133-10/S0002-9939-05-07980-3/S0002-9939-05-07980-3.pdf
http://arxiv.org/abs/math/0412239
https://www.jstor.org/stable/4097904
https://dialnet.unirioja.es/servlet/articulo?codigo=1360265
https://www.ams.org/journals/proc/2005-133-10/S0002-9939-05-07980-3/home.html
https://researchrepository.ucd.ie/handle/10197/7949
https://www.ams.org/proc/2005-133-10/S0002-9939-05-07980-3/S0002-9939-05-07980-3.pdf
https://researchrepository.ucd.ie/bitstream/10197/7949/1/quadratic1.pdf
https://arxiv.org/pdf/math/0412239
https://arxiv.org/abs/math/0412239
http://ui.adsabs.harvard.edu/abs/2004math.....12239O/abstract
http://hdl.handle.net/10197/7949

Hecke actions on certain strongly modular genera of lattices

Autoři: Gabriele Nebe Maria Teider

Zdroj: Archiv der Mathematik. 84:46-56

Témata: 11F46, 11H06, Mathematics - Number Theory, Analytic theory (Epstein zeta functions, relations with automorphic forms and functions), Hecke-Petersson operators, differential operators (several variables), Lattices and convex bodies (number-theoretic aspects), FOS: Mathematics, Number Theory (math.NT), Siegel modular groups, Siegel and Hilbert-Siegel modular and automorphic forms, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/pdf/math/0503447
http://arxiv.org/abs/math/0503447
https://core.ac.uk/display/36517912
https://arxiv.org/abs/math/0503447
https://ui.adsabs.harvard.edu/abs/2005math......3447N/abstract
https://link.springer.com/article/10.1007/s00013-004-1288-4

GAPS BETWEEN THE ZEROS OF EPSTEIN'S ZETA-FUNCTIONS ON THE CRITICAL LINE: Gaps between the zeros of Epstein's zeta-functions of the critical line

Autoři: K. Srinivas Matti Jutila

Zdroj: Bulletin of the London Mathematical Society. 37:45-53

Témata: Analytic theory (Epstein zeta functions, relations with automorphic forms and functions), 0101 mathematics, Other Dirichlet series and zeta functions, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://www.cambridge.org/core/journals/bulletin-of-the-london-mathematical-society/article/gaps-between-the-zeros-of-epsteins-zetafunctions-on-the-critical-line/946C9A47089874F45D65269A0789C26F
https://academic.oup.com/blms/article/37/1/45/281004
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0024609304003716
http://doi.wiley.com/10.1112/S0024609304003716
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/S0024609304003716

Linear relations among theta series of genera of ternary forms

Autoři: Choie, Y Chung, Y 수학과

Přispěvatelé: Choie, Y Chung, Y 수학과

Zdroj: Acta Arithmetica. 116:387-398

Témata: QUADRATIC-FORMS, theta series, Analytic theory (Epstein zeta functions, relations with automorphic forms and functions), General ternary and quaternary quadratic forms, forms of more than two variables, linear relations, Theta series, Weil representation, theta correspondences, 0101 mathematics, ternary forms, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://www.impan.pl/shop/publication/transaction/download/product/82633?download.pdf
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-aa116-4-5
http://ui.adsabs.harvard.edu/abs/2005AcAri.116..387C/abstract
https://www.impan.pl/shop/publication/transaction/download/product/82633?download.pdf
https://oasis.postech.ac.kr/handle/2014.oak/24580
https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/acta-arithmetica/all/116/4/82633/linear-relations-among-theta-series-of-genera-of-ternary-forms

Petersson Products of Singular and Almost Singular Theta Series: Petersson products of singular and almost singular theta series

Autoři: F.L. Chiera S. Böcherer

Zdroj: manuscripta mathematica. 115:281-297

Témata: Fourier coefficients of automorphic forms, Petersson product, theta series, Analytic theory (Epstein zeta functions, relations with automorphic forms and functions), 0103 physical sciences, \(L\)-function, Siegel modular form, Theta series, Weil representation, theta correspondences, Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols, Siegel modular groups, Siegel and Hilbert-Siegel modular and automorphic forms, 0101 mathematics, 01 natural sciences, Forms over real fields

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2132054
https://doi.org/10.1007/s00229-004-0500-y
https://dialnet.unirioja.es/servlet/articulo?codigo=2804585
https://link.springer.com/article/10.1007/s00229-004-0500-y
https://link.springer.com/content/pdf/10.1007%2Fs00229-004-0500-y.pdf
https://documat.unirioja.es/servlet/articulo?codigo=2804585

On Epstein's Zeta-Function: On Epstein's zeta-function

Autoři: O. M. Fomenko

Zdroj: Journal of Mathematical Sciences. 122:3679-3684

Témata: Analytic theory (Epstein zeta functions, relations with automorphic forms and functions), Estimates on exponential sums, 0101 mathematics, Other Dirichlet series and zeta functions, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1023%2FB%3AJOTH.0000035244.03387.7d
https://link.springer.com/content/pdf/10.1023%2FB%3AJOTH.0000035244.03387.7d.pdf

Determination of some lattice sum limits

Autoři: Yoshio Tanigawa Masami Yoshimoto Shigeru Kanemitsu

Zdroj: Journal of Mathematical Analysis and Applications. 294:7-16

Témata: Analytic theory (Epstein zeta functions, relations with automorphic forms and functions), Applied Mathematics, 0103 physical sciences, Hurwitz and Lerch zeta functions, 0101 mathematics, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, 01 natural sciences, Analysis

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/abs/pii/S0022247X04001866
http://www.sciencedirect.com/science/article/pii/S0022247X04001866
https://core.ac.uk/display/82172360

Jacobi identities, modular lattices, and modular towers

Autoři: Chua, K.S. Solé, P. MATHEMATICS

Přispěvatelé: Chua, K.S. Solé, P. MATHEMATICS

Zdroj: European Journal of Combinatorics. 25:495-503

Témata: Modular lattices, Desarguesian lattices, modular lattice, Quadratic iteration, 01 natural sciences, Theoretical Computer Science, Modular lattice, Modular and automorphic functions, Jacobi identity, Hecke operator, Computational Theory and Mathematics, Analytic theory (Epstein zeta functions, relations with automorphic forms and functions), Lattices and convex bodies (number-theoretic aspects), Theta series, Weil representation, theta correspondences, Geometry and Topology, quadratic iteration, 0101 mathematics

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/S019566980300163X
https://dblp.uni-trier.de/db/journals/ejc/ejc25.html#ChuaS04a
https://doi.org/10.1016/j.ejc.2003.05.002
https://dl.acm.org/doi/10.1016/j.ejc.2003.05.002
https://www.sciencedirect.com/science/article/abs/pii/S019566980300163X

AN ANALOGUE OF CIRCULAR UNITS FOR PRODUCTS OF ELLIPTIC CURVES: An analogue of circular unit for products of elliptic curves

Autoři: Ramesh Sreekantan Srinath Baba

Zdroj: Proceedings of the Edinburgh Mathematical Society. 47:35-51

Témata: Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), class number, Analytic theory (Epstein zeta functions, relations with automorphic forms and functions), Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols, Beilinson conjectures, 0101 mathematics, Holomorphic modular forms of integral weight, 01 natural sciences, Modular and Shimura varieties

Popis souboru: application/xml

Přístupová URL adresa: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/153DA46340AED07C9B5F7D1CAB219103/S001309150200113Xa.pdf/div-class-title-an-analogue-of-circular-units-for-products-of-elliptic-curves-div.pdf
https://pure.mpg.de/pubman/faces/ViewItemOverviewPage.jsp?itemId=item_3124707
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/153DA46340AED07C9B5F7D1CAB219103/S001309150200113Xa.pdf/div-class-title-an-analogue-of-circular-units-for-products-of-elliptic-curves-div.pdf
http://www.isibang.ac.in/~rsreekantan/edinpaper.pdf
http://www.journals.cambridge.org/abstract_S001309150200113X
https://www.isibang.ac.in/~rsreekantan/edinpaper.pdf
https://www.cambridge.org/core/journals/proceedings-of-the-edinburgh-mathematical-society/article/an-analogue-of-circular-units-for-products-of-elliptic-curves/153DA46340AED07C9B5F7D1CAB219103

Kronecker limit formula for Drinfeld modules: Kronecker limit formula for Drinfeld modules.

Autoři: Satoshi Kondo

Zdroj: Journal of Number Theory. 104:373-377

Témata: Limit formula, Algebra and Number Theory, Analytic theory (Epstein zeta functions, relations with automorphic forms and functions), Drinfeld module, 0103 physical sciences, Drinfel'd modules, higher-dimensional motives, etc, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2056176
https://doi.org/10.1016/j.jnt.2003.08.004
https://core.ac.uk/display/82297660
https://www.sciencedirect.com/science/article/abs/pii/S0022314X03001707

On cusp forms associated with binary theta series

Autoři: Blomer, Valentin

Přispěvatelé: Blomer, Valentin

Zdroj: Archiv der Mathematik. 82:140-146

Témata: Petersson inner product, 01 natural sciences, modular form, Analytic theory (Epstein zeta functions, relations with automorphic forms and functions), Langlands \(L\)-functions, one variable Dirichlet series and functional equations, theta function, Theta series, Weil representation, theta correspondences, Asymptotic results on arithmetic functions, cusp form coefficients, sign changes, Dirichlet series, 0101 mathematics, Holomorphic modular forms of integral weight, cusp form

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2106419
https://doi.org/10.1007/s00013-003-4806-x
https://link.springer.com/article/10.1007%2Fs00013-003-4806-x
http://www.uni-math.gwdg.de/blomer/paper6b.pdf
https://www.uni-math.gwdg.de/blomer/paper6b.pdf
https://resolver.sub.uni-goettingen.de/purl?gro-2/3721