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Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya"
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Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", 1984, Volume 24, Pages 181–238 (Mi intd73)  

This article is cited in 155 scientific papers (total in 155 papers)

Higher regulators and values of L-functions

A. A. Beilinson
Abstract: In the work conjectures are formulated regarding the value of L-functions of motives and some computations are presented corroborating them.
English version:
Journal of Soviet Mathematics, 1985, Volume 30, Issue 2, Pages 2036–2070
DOI: https://doi.org/10.1007/BF02105861
Bibliographic databases:
UDC: 512.7
Language: Russian
Citation: A. A. Beilinson, “Higher regulators and values of L-functions”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 24, VINITI, Moscow, 1984, 181–238; J. Soviet Math., 30:2 (1985), 2036–2070
Citation in format AMSBIB
\Bibitem{Bei84}
\by A.~A.~Beilinson
\paper Higher regulators and values of $L$-functions
\serial Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh.
\yr 1984
\vol 24
\pages 181--238
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/intd73}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=760999}
\zmath{https://zbmath.org/?q=an:0588.14013}
\transl
\jour J. Soviet Math.
\yr 1985
\vol 30
\issue 2
\pages 2036--2070
\crossref{https://doi.org/10.1007/BF02105861}
Linking options:
  • https://www.mathnet.ru/eng/intd73
  • https://www.mathnet.ru/eng/intd/v24/p181
  • This publication is cited in the following 155 articles:
    1. Yusuke Nemoto, “L-function of CM elliptic curves and generalized hypergeometric functions”, Int. J. Number Theory, 21:04 (2025), 793  crossref
    2. Xuejun Guo, Qingzhong Ji, Hang Liu, Hourong Qin, “The Mahler measure of x + 1/x + y + 1/y + 4 ± 42 and Beilinson's conjecture”, Int. J. Number Theory, 20:01 (2024), 185  crossref
    3. Jacques Tilouine, Eric Urban, “On the Cohomology of GL(N) and Adjoint Selmer Groups”, International Mathematics Research Notices, 2024:3 (2024), 2622  crossref
    4. Yusuke Nemoto, “Regulator of the Hesse cubic curves and hypergeometric functions”, manuscripta math., 2024  crossref
    5. Brice Bastian, Damian van de Heisteeg, Lorenz Schlechter, “Beyond large complex structure: quantized periods and boundary data for one-modulus singularities”, J. High Energ. Phys., 2024:7 (2024)  crossref
    6. Jonathan Wilson, “A Unified Theory of Fundamental Forces: From the Yang-Mills Mass Gap to Quantum Gravity”, SSRN Journal, 2024  crossref
    7. Masanori Asakura, Masataka Chida, François Brunault, “A numerical approach toward the p-adic Beilinson conjecture for elliptic curves over Q”, Res Math Sci, 10:1 (2023)  crossref
    8. Hang Liu, Qin Hourong, “Mahler Measure of Families of Polynomials Defining Genus 2 and 3 Curves”, Experimental Mathematics, 32:2 (2023), 321  crossref
    9. Tung T. Nguyen, “Heights and Tamagawa numbers of motives”, Journal of Pure and Applied Algebra, 226:5 (2022), 106933  crossref
    10. Xiaoliang Wu, Hang Liu, Guoping Tang, “Identities of Mahler measures of certain polynomials defining curves of arbitrary genus”, Journal of Mathematical Analysis and Applications, 494:2 (2021), 124602  crossref
    11. Anton Mellit, “Elliptic dilogarithms and parallel lines”, Journal of Number Theory, 204 (2019), 1  crossref
    12. Guido Kings, Danny Scarponi, “The Maillot–Rössler current and the polylogarithm on abelian schemes”, Alg. Number Th., 13:2 (2019), 501  crossref
    13. Alexander B. Goncharov, “Hodge correlators”, Journal für die reine und angewandte Mathematik (Crelles Journal), 2019:748 (2019), 1  crossref
    14. Hikaru Hirano, Masanori Morishita, “Arithmetic topology in Ihara theory II: Milnor invariants, dilogarithmic Heisenberg coverings and triple power residue symbols”, Journal of Number Theory, 198 (2019), 211  crossref
    15. Shouwu Zhang, “Linear forms, algebraic cycles, and derivatives of L-series”, Sci. China Math., 62:11 (2019), 2401  crossref
    16. F. Thuillier, “3D topological models and Heegaard splitting. I. Partition function”, Journal of Mathematical Physics, 60:4 (2019)  crossref
    17. Alexander Goncharov, Guangyu Zhu, “The Galois group of the category of mixed Hodge–Tate structures”, Sel. Math. New Ser., 24:1 (2018), 303  crossref
    18. Kazuya Kato, Chikara Nakayama, Sampei Usui, “Classifying spaces of degenerating mixed Hodge structures, IV: The fundamental diagram”, Kyoto J. Math., 58:2 (2018)  crossref
    19. Kazuya Kato, “Height functions for motives”, Sel. Math. New Ser., 24:1 (2018), 403  crossref
    20. A. Navarro, “Riemann–Roch for homotopy invariant K-theory and Gysin morphisms”, Advances in Mathematics, 328 (2018), 501  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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