A q-logarithmic analogue of Euler’s sine integral
Rendiconti del Seminario Matematico della Università di Padova, Volume 114  (2005), p. 51-62
@article{RSMUP_2005__114__51_0,
     author = {Kurokawa, Nobushige and Wakayama, Masato},
     title = {A $q$-logarithmic analogue of Euler's sine integral},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {114},
     year = {2005},
     pages = {51-62},
     zbl = {1118.11038},
     mrnumber = {2207861},
     language = {en},
     url = {http://www.numdam.org/item/RSMUP_2005__114__51_0}
}
Kurokawa, Nobushige; Wakayama, Masato. A $q$-logarithmic analogue of Euler’s sine integral. Rendiconti del Seminario Matematico della Università di Padova, Volume 114 (2005) , pp. 51-62. http://www.numdam.org/item/RSMUP_2005__114__51_0/

[E] L. Euler, De summis serierum numeros Bernoullianos involventium. Novi comm. acad. scient. Petropolitanae, 14 (1769), pp. 129-167 (Opera Omnia I-15, pp.91-130).

[H] O. Hölder, Ueber eine transcendente Function. Göttingen Nachrichten, 16 (1886), pp. 514-522. | JFM 18.0376.01

[K] A. N. Kirillov, Dilogarithm identities, Progr. Theoret. Phys. Suppl., 118 (1995), pp. 61-142. | MR 1356515 | Zbl 0894.11052

[KK] N. Kurokawa - S. Koyama, Multiple sine functions. Forum Math., 15 (2003), pp. 839-876. | MR 2010282 | Zbl 1065.11065

[KOW] N. Kurokawa - H. Ochiai - M. Wakayama, Multiple trigonometry and zeta funcitons. J. Ramanujan Math. Soc., 17 (2002), pp. 101-113. | MR 1913896 | Zbl 0995.11054

[KW] N. Kurokawa - M. Wakayama, Absolute tensor products. Internat. Math. Res. Notices, 5 (2004), pp. 249-260. | MR 2038715 | Zbl 1086.11041

[S] T. Shintani, On a Kronecker limit formula for real quadratic fields. J. Fac. Sci. Univ. Tokyo, 24 (1977), pp. 167-199. | MR 460283 | Zbl 0364.12012

[We] A. Weil, Sur une formule classique. J. Math. Soc. Japan, 20 (1968), pp. 400-402. | MR 224556 | Zbl 0174.33902

[WW] E.T. Whittaker - G. N. Watson, A Course of Modern Analysis, Cambridge Univ. Press (Third ed.) 1920. | JFM 47.0190.17 | MR 1424469