caa a22 4500 378905961 CHVBK 20180305123530.0 cr unu---uuuuu 161128e200403 xx s 000 0 eng 10.1515/GMJ.2004.111 doi (NATIONALLICENCE)gruyter-10.1515/GMJ.2004.111 Lomadze G. Faculty of Mechanics and Mathematics, I. Javakhishvili Tbilisi State University, 2, University St., Tbilisi 0143, Georgia On Entire Modular Forms of Half-Integral Weight on the Congruence Subgroup Γ0(4N) [Elektronische Daten] [G. Lomadze] Some entire modular forms of weight on the congruence subgroup Γ0(4N) are constructed if s is odd > 11. The constructed type of entire modular forms is useful for revealing the arithmetical meaning of additional terms in formulas for the number of representations of positive integers by positive quadratic forms with integral coefficients if the number s of variables is odd > 11. © Heldermann Verlag Entire modular form nationallicence multiplier system nationallicence congruence subgroup nationallicence theta-function with characteristics nationallicence Georgian Mathematical Journal Walter de Gruyter GmbH & Co. KG 11/1(2004-03), 111-123 1072-947X 11:1<111 2004 11 GMJ https://doi.org/10.1515/GMJ.2004.111 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/GMJ.2004.111 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Lomadze G. Faculty of Mechanics and Mathematics, I. Javakhishvili Tbilisi State University, 2, University St., Tbilisi 0143, Georgia NATIONALLICENCE 773 0- Georgian Mathematical Journal Walter de Gruyter GmbH & Co. KG 11/1(2004-03), 111-123 1072-947X 11:1<111 2004 11 GMJ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter