TY - JOUR
T1 - Finite trigonometric sums and class numbers
AU - Berndt, Bruce C.
AU - Zaharescu, Alexandru
PY - 2004/11
Y1 - 2004/11
N2 - Explicit evaluations of finite trigonometric sums arose in proving certain theta function identities of Ramanujan. In this paper, without any appeal to theta functions, several classes of finite trigonometric sums, including the aforementioned sums, are evaluated in closed form in terms of class numbers of imaginary quadratic fields.
AB - Explicit evaluations of finite trigonometric sums arose in proving certain theta function identities of Ramanujan. In this paper, without any appeal to theta functions, several classes of finite trigonometric sums, including the aforementioned sums, are evaluated in closed form in terms of class numbers of imaginary quadratic fields.
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U2 - 10.1007/s00208-004-0559-5
DO - 10.1007/s00208-004-0559-5
M3 - Article
AN - SCOPUS:7544239513
SN - 0025-5831
VL - 330
SP - 551
EP - 575
JO - Mathematische Annalen
JF - Mathematische Annalen
IS - 3
ER -