Found 76 Documents (Results 1–76)
Topological modular forms and the absence of all heterotic global anomalies. (English) Zbl 1530.81123
Commun. Math. Phys. 402, No. 2, 1585-1620 (2023); correction ibid. 402, No. 2, 2131 (2023).
\(p\)-adic open string amplitudes with Chan-Paton factors coupled to a constant \(B\)-field. (English) Zbl 1472.81194
On solvability of one infinite system of nonlinear functional equations in the theory of epidemics. (English) Zbl 1463.92069
Solvability of some classes of nonlinear singular boundary value problems in the theory of \(p\)-adic open-closed strings. (English. Russian original) Zbl 1427.81106
Theor. Math. Phys. 200, No. 1, 1015-1025 (2019); translation from Teor. Mat. Fiz. 200, No. 1, 106-117 (2019).
A uniqueness theorem for a nonlinear singular integral equation arising in \(p\)-adic string theory. (English) Zbl 1436.45003
MSC:
45G05
Regularization of \(p\)-adic string amplitudes, and multivariate local zeta functions. (English) Zbl 1417.81155
Solvability of a class of nonlinear pseudo-differential equations in \(\mathbb{R}^n\). (English) Zbl 1402.35325
Eisenstein series and automorphic representations. With applications in string theory. (English) Zbl 1435.11001
Cambridge Studies in Advanced Mathematics 176. Cambridge: Cambridge University Press (ISBN 978-1-107-18992-8/hbk; 978-1-316-99586-0/ebook). xviii, 567 p. (2018).
Reviewer: Franz Lemmermeyer (Jagstzell)
\(p\)-adic mathematical physics: the first 30 years. (English) Zbl 1394.81009
Reviewer: Diana Maimut (Bucharest)
\(p\)-adic AdS/CFT. (English) Zbl 1387.83083
Reviewer: Amir-Kian Kashani-Poor (Paris)
Are there \(p\)-adic knot invariants? (English. Russian original) Zbl 1342.81457
Theor. Math. Phys. 187, No. 1, 447-454 (2016); translation from Teor. Mat. Fiz. 187, No. 1, 3-11 (2016).
Exceptional knot homology. (English) Zbl 1342.57012
Reviewer: Daniel Moskovich (Beer-Sheva)
On solvability of one integral equation on half line with Chebyshev polynomial nonlinearity. (English) Zbl 1328.45009
Minkowski measurability and exact fractal tube formulas for \(p\)-adic self-similar strings. (English) Zbl 1321.37081
Carfì, David (ed.) et al., Fractal geometry and dynamical systems in pure and applied mathematics I: Fractals in pure mathematics. Selected papers based on three conferences following the passing of Benoît Mandelbrot in October 2010. 1st PISRS 2011 international conference on analysis, fractal geometry, dynamical systems and economics, Messina, Italy, November 8–12, 2011, AMS special session on fractal geometry in pure and applied mathematics, in memory of Benoît Mandelbrot, Boston, MA, USA, January 2012, AMS special session on geometry and analysis on fractal spaces, Honolulu, HI, USA, March 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9147-6/pbk; 978-1-4704-1082-7/ebook). Contemporary Mathematics 600, 161-184 (2013).
Nonexistence of solutions of the \(p\)-adic strings. (English. Russian original) Zbl 1280.81113
Theor. Math. Phys. 174, No. 2, 178-185 (2013); translation from Teor. Mat. Fiz. 174, No. 2, 208-215 (2013).
Mathematical questions for theory of nonlinear pseudodifferential equations with \(p\)-adic string. (Russian. English summary) Zbl 1449.81034
MSC:
81T30
Solutions of \(p\)-adic string equations. (English. Russian original) Zbl 1274.81198
Theor. Math. Phys. 167, No. 2, 539-546 (2011); translation from Teor. Mat. Fiz. 167, No. 2, 163-170 (2011).
MSC:
81T30
Mathematical aspects of nonlinear pseudodifferential equations of \(p\)-adic strings. (English) Zbl 1258.81073
The geometry of \(p\)-adic fractal strings: a comparative survey. (English) Zbl 1276.37053
Araujo-Gomez, Jesus (ed.) et al., Advances in non-Archimedean analysis. 11th international conference on \(p\)-adic functional analysis, Clermont-Ferrand, France, July 5–9, 2010. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5291-0/pbk). Contemporary Mathematics 551, 163-206 (2011).
Thermal duality and Hagedorn transition from \(p\)-adic strings. (English) Zbl 1255.81206
MSC:
81T30
Nonlocal dynamics of \(p\)-adic strings. (English) Zbl 1254.81072
Theor. Math. Phys. 164, No. 3, 1151-1155 (2010) and Teor. Mat. Fiz. 164, No. 3, 380-385 (2010).
The \(p\)-adic sector of the adelic string. (English) Zbl 1256.81088
Theor. Math. Phys. 163, No. 3, 768-773 (2010) and Teor. Mat. Fiz. 163, No. 3, 449-455 (2010).
On an integral equation with monotonic nonlinearity. (English) Zbl 1220.45003
Reviewer: Kun Soo Chang (Seoul)
MSC:
45G10
On \(p\)-adic sector of open scalar strings and zeta field theory. (English) Zbl 1210.81082
Dobrev, Vladimir (ed.), Lie theory and its applications in physics. VIII international workshop, Varna, Bulgaria, June 15–21, 2009. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0788-6/pbk). AIP Conference Proceedings 1243, 43-49 (2010).
On \(p\)-adic mathematical physics. (English) Zbl 1187.81004
Reviewer: Olaf Ninnemann (Berlin)
Zeta-nonlocal scalar fields. (English. Russian original) Zbl 1155.81361
Theor. Math. Phys. 157, No. 3, 1671-1677 (2008); translation from Teor. Mat. Fiz. 157, No. 3, 364-372 (2008).
A few hints and some theorems about Witten’s \(M\) theory and \(T\)-duality. (English) Zbl 1069.81045
Nonlinear dynamics equation in \(p\)-adic string theory. (English) Zbl 1178.81174
Theor. Math. Phys. 138, No. 3, 297-309 (2004); translation from Teor. Mat. Fiz. 138, No. 3, 355-368 (2004).
Fractal strings as an alternative justification for El Naschie’s Cantorian spacetime and the fine structure constant. (English) Zbl 1033.81511
Beta functions of local fields of characteristic zero. Applications to string amplitudes. (English. Russian original) Zbl 1033.81071
Izv. Math. 66, No. 1, 41-57 (2002); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 66, No. 1, 43-58 (2002).
Reviewer: Werner Kleinert (Berlin)
Adelic formulas for gamma and beta functions of one class number quadratic fields: Applications to 4-particle scattering string amplitudes. (English. Russian original) Zbl 0993.11061
Proc. Steklov Inst. Math. 228, 67-80 (2000); translation from Tr. Mat. Inst. Steklova 228, 76-89 (2000).
Integrality of certain exponential series. (English) Zbl 0998.12009
Kang, Ming-Chang (ed.), Lectures in algebra and geometry. Proceedings of the international conference on algebra and geometry, National Taiwan University, Taipei, Taiwan, December 26-30, 1995. Cambridge, MA: International Press. 215-227 (1998).
Adelic formulas for gamma and beta functions in algebraic number fields. (English. Russian original) Zbl 0916.11064
Dokl. Math. 53, No. 2, 159-163 (1996); translation from Dokl. Akad. Nauk 347, No. 1, 11-15 (1996).
Reviewer: O.Ninnemann (Berlin)
The spectral problem for the \(q\)-Knizhnik-Zamolodchikov equation and continuous \(q\)-Jacobi polynomials. (English) Zbl 0832.35106
Rational summation of \(p\)-adic series. (English) Zbl 0860.11070
Theor. Math. Phys. 100, No. 3, 1055-1064 (1994) and Teor. Mat. Fiz. 100, No. 3, 342-353 (1994).
Reviewer: W.Schikhof (Nijmegen)
From \(p\)-adic strings to étale strings. (English. Russian original) Zbl 0912.14006
Proc. Steklov Inst. Math. 203, 37-42 (1995); translation from Tr. Mat. Inst. Steklova 203, 41-47 (1994).
Reviewer: P.Cherenack (Rondebosch)
Freund-Witten adelic formulae for Veneziano and Virasoro-Shapiro amplitudes. (English. Russian original) Zbl 0866.11068
Russ. Math. Surv. 48, No. 6, 1-39 (1993); translation from Usp. Mat. Nauk 48, No. 6(294), 3-38 (1993).
Reviewer: W.Wiȩsław (Wrocław)
Adelic formulas for the four-point Veneziano and Virasoro-Shapiro amplitudes. (English. Russian original) Zbl 0916.11063
Phys.-Dokl. 38, No. 12, 486-489 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 333, No. 6, 717-721 (1993).
Reviewer: O.Ninnemann (Berlin)
Derivation of Freund-Witten adelic formula for four-point Veneziano amplitudes. (English. Russian original) Zbl 0916.11062
Theor. Math. Phys. 94, No. 3, 251-259 (1993); translation from Teor. Mat. Fiz. 94, No. 3, 355-367 (1993).
Reviewer: O.Ninnemann (Berlin)
On \(p\)-adic aspects of some perturbation series. (English) Zbl 0802.11054
Theor. Math. Phys. 93, No. 2, 1225-1231 (1992) and Teor. Mat. Fiz. 93, No. 2, 211-218 (1992).
Reviewer: E.Zelenov (Moskva)
Field quantization in non-archimedean field theory. (English) Zbl 0721.11055
Reviewer: W.Kleinert (Berlin)
\(q\)-deformation of \(SU(1,1)\) conformal Ward identities and \(q\)-strings. (English) Zbl 1210.81085
Chau, Ling-Lie (ed.) et al., Differential geometric methods in theoretical physics. Physics and geometry. Proceedings of the NATO advanced research workshop and the 18th international conference, held July 2-8, 1988, Davis, CA, USA. New York etc.: Plenum Press (ISBN 0-306-43807-0/hbk). NATO ASI Ser., Ser. B, Phys. 245, 353-357 (1990).
p-adic string compactified on a torus. (English) Zbl 0718.22007
Reviewer: W.Kleinert (Berlin)
p-adic string compactified on a torus. (English) Zbl 0703.22010
Reviewer: P.Maślanka
The O\((N)\) Gross-Neveu and supersymmetric \(\sigma\) models on \(p\)-adic fields. (English) Zbl 1020.81706
The classical harmonic oscillator on Galois and p-adic fields. (English) Zbl 0715.22027
Reviewer: W.Kleinert
Quantum mechanics on p-adic fields. (English) Zbl 0709.22011
Reviewer: W.Kleinert
Multiloop calculations in p-adic string theory and Bruhat-Tits trees. (English) Zbl 0685.22005
Reviewer: P.Maślanka
A generalization of the Riemann zeta-function. (English) Zbl 0684.10037
Reviewer: M.Jutila
The origin of the ultrametric topology of spin glasses. (English) Zbl 0682.12014
Reviewer: D.Ştefănescu
Non-Archimedean strings and Bruhat-Tits trees. (English) Zbl 0676.22006
Reviewer: P.Maślanka
p-adic Feynman and string amplitudes. (English) Zbl 0671.22011
Reviewer: P.Maslanka
Membranes in string theory, trees, the Weil conjectures, and the Ramanujan numbers. (English) Zbl 0671.22010
Reviewer: P.Maslanka
\(p\)-adic string amplitude. (English) Zbl 0959.81580
A p-adic oscillator. (Russian. English summary) Zbl 0694.22005
Reviewer: W.Kleinert
p-adic quantum mechanics. (English. Russian original) Zbl 0694.22004
Sov. Phys., Dokl. 33, No. 9, 669-670 (1988); translation from Dokl. Akad. Nauk SSSR 302, No. 2, 320-323 (1988).
Reviewer: W.Kleinert
Harmonic analysis and p-adic strings. (English) Zbl 0668.43006
Reviewer: P.Maślanka
\(p\)-adic space-time and string theory. (English. Russian original) Zbl 0636.12015
Theor. Math. Phys. 71, 574-576 (1987); translation from Teor. Mat. Fiz. 71, No. 3, 337-340 (1987).
Reviewer: S.I.Gel’fand
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