-
1
-
-
84972496810
-
Generalized Dedekind sums and transformation formulae of certain Lambert series
-
T.M. Apostol, Generalized Dedekind sums and transformation formulae of certain Lambert series, Duke Math. J. 17 (1950) 147-157.
-
(1950)
Duke Math. J.
, vol.17
, pp. 147-157
-
-
Apostol, T.M.1
-
2
-
-
0003564126
-
Modular Functions and Dirichlet Series in Number Theory
-
Springer, Berlin
-
T.M. Apostol, Modular Functions and Dirichlet Series in Number Theory, Springer, Berlin, 1976.
-
(1976)
-
-
Apostol, T.M.1
-
3
-
-
84972496376
-
Elementary proofs of Berndt's reciprocity laws
-
T.M. Apostol, T.H. Vu, Elementary proofs of Berndt's reciprocity laws, Pacific J. Math. 98 (1982) 99, 17-23.
-
(1982)
Pacific J. Math.
, vol.98
, Issue.99
, pp. 17-23
-
-
Apostol, T.M.1
Vu, T.H.2
-
5
-
-
84967773764
-
Generalized Dedekind eta-functions and generalized Dedekind sums
-
B.C. Berndt, Generalized Dedekind eta-functions and generalized Dedekind sums, Trans. Amer. Math. Soc. 178 (1973) 495-508.
-
(1973)
Trans. Amer. Math. Soc.
, vol.178
, pp. 495-508
-
-
Berndt, B.C.1
-
6
-
-
0344339693
-
A new proof of the reciprocity theorem for Dedekind sums
-
B.C. Berndt, A new proof of the reciprocity theorem for Dedekind sums, Elem. Math. 29 (1974) 93-94.
-
(1974)
Elem. Math.
, vol.29
, pp. 93-94
-
-
Berndt, B.C.1
-
7
-
-
0013203570
-
Generalized Eisenstein series and modified Dedekind sum
-
B.C. Berndt, Generalized Eisenstein series and modified Dedekind sum, J. Reine Angew. Math. 272 (1975) 182-193.
-
(1975)
J. Reine Angew. Math.
, vol.272
, pp. 182-193
-
-
Berndt, B.C.1
-
8
-
-
84963085208
-
Dedekind sum and paper of G. Hardy
-
B.C. Berndt, Dedekind sum and paper of G. Hardy, J. London Math. Soc. 13 (1976) 129-136.
-
(1976)
J. London Math. Soc.
, vol.13
, pp. 129-136
-
-
Berndt, B.C.1
-
9
-
-
0000480746
-
Reciprocity theorem for Dedekind sum and generalization
-
B.C. Berndt, Reciprocity theorem for Dedekind sum and generalization, Adv. Math. 23 (1977) 285-316.
-
(1977)
Adv. Math.
, vol.23
, pp. 285-316
-
-
Berndt, B.C.1
-
10
-
-
84942960807
-
Analytic Eisenstein series, theta-functions, and series relations in the spirit of Ramanujan
-
B.C. Berndt, Analytic Eisenstein series, theta-functions, and series relations in the spirit of Ramanujan, J. Reine Angew. Math. 303/304 (1978) 332-365.
-
(1978)
J. Reine Angew. Math.
, vol.303-304
, pp. 332-365
-
-
Berndt, B.C.1
-
11
-
-
0000998080
-
Sums involving the greatest integer function and Riemann Stieltjes integration
-
B.C. Berndt, U. Dieter, Sums involving the greatest integer function and Riemann Stieltjes integration, J. Reine Angew. Math. 337 (1982) 208-220.
-
(1982)
J. Reine Angew. Math.
, vol.337
, pp. 208-220
-
-
Berndt, B.C.1
Dieter, U.2
-
12
-
-
0000546814
-
Analytic properties of arithmetic sums arasing in the theory of the classical theta-functions
-
B.C. Berndt, L.A. Goldberg, Analytic properties of arithmetic sums arasing in the theory of the classical theta-functions, SIAM J. Math. Anal. 15 (1984) 143-150.
-
(1984)
SIAM J. Math. Anal.
, vol.15
, pp. 143-150
-
-
Berndt, B.C.1
Goldberg, L.A.2
-
13
-
-
0002784233
-
2) Gegenüber Modultransformationen und Verallgemeinerte Dedekindsche Summen
-
MR 21#3397
-
2) Gegenüber Modultransformationen und Verallgemeinerte Dedekindsche Summen, J. Reine Angew. Math. 201 (1959) 37-70 MR 21#3397.
-
(1959)
J. Reine Angew. Math.
, vol.201
, pp. 37-70
-
-
Dieter, U.1
-
14
-
-
0001058619
-
Cotangent sums, a further generalization of Dedekind sums
-
U. Dieter, Cotangent sums, a further generalization of Dedekind sums, J. Number Theory 18 (1984) 289-305.
-
(1984)
J. Number Theory
, vol.18
, pp. 289-305
-
-
Dieter, U.1
-
15
-
-
0013299006
-
Transformation of theta-functions and analogues of Dedekind sums Thesis
-
University of Illinois Urbana
-
L.A. Goldberg, Transformation of theta-functions and analogues of Dedekind sums Thesis, University of Illinois Urbana, 1981.
-
(1981)
-
-
Goldberg, L.A.1
-
16
-
-
0002475887
-
On certain series of discontinuous functions connected with the modular functions
-
(=Collected Papers, Vol. IV, pp. 362-392). Clarendon Press, Oxford, 1969
-
G.H. Hardy, On certain series of discontinuous functions connected with the modular functions, Quart. J. Math. 36 (1905) 93-123 (=Collected Papers, Vol. IV, pp. 362-392). Clarendon Press, Oxford, 1969.
-
(1905)
Quart. J. Math.
, vol.36
, pp. 93-123
-
-
Hardy, G.H.1
-
17
-
-
0345202279
-
On powers of the theta-functions greatest than the eight
-
M.I. Knopp, On powers of the theta-functions greatest than the eight, Acta Arith. XLVI (1986) 271-283.
-
(1986)
Acta Arith.
, vol.46
, pp. 271-283
-
-
Knopp, M.I.1
-
18
-
-
0003458030
-
Modular Functions in Analytic Number Theory
-
Markham, Chicago
-
M.I. Knopp, Modular Functions in Analytic Number Theory, Markham, Chicago, 1970.
-
(1970)
-
-
Knopp, M.I.1
-
20
-
-
0002726286
-
Analytic continuation of Eisenstein series
-
J. Lewittes, Analytic continuation of Eisenstein series, Trans. Amer. Math. Soc. 177 (1972) 469-490.
-
(1972)
Trans. Amer. Math. Soc.
, vol.177
, pp. 469-490
-
-
Lewittes, J.1
-
21
-
-
0003544011
-
Modulfunktionen und Quadratische Formen
-
Springer, Berlin
-
H. Petersson, Modulfunktionen und Quadratische Formen, Springer, Berlin, 1982.
-
(1982)
-
-
Petersson, H.1
-
23
-
-
0344771649
-
Kubische, und Biquadratiche Theta Functionen I, II, Sitzungsber
-
K1.188 47-77
-
W. Raab, Kubische und Biquadratiche Theta Functionen I, II, Sitzungsber, Österr. Akad. Wiss. Math.-natuw. K1.188 (1979) 47-77, 231-246.
-
(1979)
Österr. Akad. Wiss. Math.-natuw.
, pp. 231-246
-
-
Raab, W.1
-
24
-
-
0345634186
-
Über die Transformation der Logarithmen der Theta Funktionen
-
H. Rademacher, Über die Transformation der Logarithmen der Theta Funktionen, Math. Ann. 168 (1967) 142-148.
-
(1967)
Math. Ann.
, vol.168
, pp. 142-148
-
-
Rademacher, H.1
-
25
-
-
0003227956
-
Dedekind Sums
-
Mathematical Association of America, Washington, DC
-
H. Rademacher, E. Grosswald, Dedekind Sums, in: Carus Mathematical Monography, Vol. 16, Mathematical Association of America, Washington, DC, 1972.
-
(1972)
Carus Mathematical Monography
, vol.16
-
-
Rademacher, H.1
Grosswald, E.2
-
26
-
-
0345634183
-
Zur Theorie der Verallgemeinerten Dedekindschen Modulfunktionen
-
K1. MR. 42# 7595
-
B. Schoeneberg, Zur Theorie der Verallgemeinerten Dedekindschen Modulfunktionen, Nacher. Akad. Wiss. Göttingen Math.-Phys.K1. II (1969) 119-128 MR. 42# 7595.
-
(1969)
Nacher. Akad. Wiss. Göttingen Math.-Phys
, vol.2
, pp. 119-128
-
-
Schoeneberg, B.1
-
27
-
-
54649083147
-
Theorems on three-term relations for Hardy sums
-
Y. Simsek, Theorems on three-term relations for Hardy sums, Turkish J. Math. 22 (1998) 153-162.
-
(1998)
Turkish J. Math.
, vol.22
, pp. 153-162
-
-
Simsek, Y.1
-
28
-
-
0000842298
-
Dedekind and Hardy sums
-
R. Sitaramachandrarao, Dedekind and Hardy sums, Acta Arith XLVIII (1978) 325-340.
-
(1978)
Acta Arith.
, vol.48
, pp. 325-340
-
-
Sitaramachandrarao, R.1
-
29
-
-
0344771647
-
On generalized Dedekind functions
-
C.H. Tzeng, L.C. Miao, On generalized Dedekind functions, Chinese J. Math. 7 (1) (1979) 15-21.
-
(1979)
Chinese J. Math.
, vol.7
, Issue.1
, pp. 15-21
-
-
Tzeng, C.H.1
Miao, L.C.2
-
30
-
-
0003957510
-
-
4th Edition, Cambridge Univ. Press, Cambridge
-
E.T. Wittaker, G.N. Watson, A Course of Modern Analysis, 4th Edition, Cambridge Univ. Press, Cambridge, 1962.
-
(1962)
A Course of Modern Analysis
-
-
Wittaker, E.T.1
Watson, G.N.2
|