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Acta Arithmetica
Volumn 82, Issue 3, 1997, Pages 229-242
Properties of certain integer-valued analogues of Dedekind sums
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EID: 0039468544     PISSN: 00651036     EISSN: None     Source Type: Journal    
DOI: 10.4064/aa-82-3-229-242     Document Type: Article
Times cited : (12)
References (15)
  • 1
    • 84972570567 scopus 로고
    • Some arithmetic on Dedekind sums
    • T. Asai, Some arithmetic on Dedekind sums, J. Math. Soc. Japan 38 (1986), 163-172.
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    • Asai, T.1
  • 2
    • 84942960807 scopus 로고
    • 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
  • 4
    • 0038349847 scopus 로고
    • Equidistribution of roots of a quadratic congruence to prime moduli
    • W. Duke, J. B. Friedlander and H. Iwaniec, Equidistribution of roots of a quadratic congruence to prime moduli, Ann. of Math. 141 (1995), 423-441.
    • (1995) Ann. of Math. , vol.141 , pp. 423-441
    • Duke, W.1    Friedlander, J.B.2    Iwaniec, H.3
  • 6
    • 0002475887 scopus 로고
    • On certain series of discontinuous functions connected with the modular functions
    • G. H. Hardy, On certain series of discontinuous functions connected with the modular functions, Quart. J. Math. Oxford 36 (1905), 93-123.
    • (1905) Quart. J. Math. Oxford , vol.36 , pp. 93-123
    • Hardy, G.H.1
  • 7
    • 0003946760 scopus 로고
    • Clarendon Press, Oxford
    • _, Collected Papers, Vol. IV, Clarendon Press, Oxford, 1969.
    • (1969) Collected Papers , vol.4
  • 8
    • 0000470646 scopus 로고
    • Continued fractions and density results for Dedekind sums
    • D. Hickerson, Continued fractions and density results for Dedekind sums, J. Reine Angew. Math. 290 (1977), 113-116.
    • (1977) J. Reine Angew. Math. , vol.290 , pp. 113-116
    • Hickerson, D.1
  • 11
    • 0039023714 scopus 로고
    • On a question of Rademacher concerning Dedekind sums
    • L. Pinzur, On a question of Rademacher concerning Dedekind sums, Proc. Amer. Math. Soc. 61 (1976), 11-15.
    • (1976) Proc. Amer. Math. Soc. , vol.61 , pp. 11-15
    • Pinzur, L.1
  • 12
    • 0000825925 scopus 로고
    • Zur theorie der dedekindschen summen
    • H. Rademacher, Zur Theorie der Dedekindschen Summen, Math. Z. 63 (1956), 445-463.
    • (1956) Math. Z. , vol.63 , pp. 445-463
    • Rademacher, H.1
  • 13
    • 0039615999 scopus 로고
    • Questions 99 and 100
    • Univ. of Colorado, Boulder, Colo.
    • _, Questions 99 and 100, in: Proc. 1963 Number Theory Conference, Univ. of Colorado, Boulder, Colo., 1963, 112.
    • (1963) Proc. 1963 Number Theory Conference , pp. 112
  • 14
    • 0040207728 scopus 로고
    • On the sign of some Dedekind sums
    • K. Rosen, On the sign of some Dedekind sums, J. Number Theory 9 (1977), 209-212.
    • (1977) J. Number Theory , vol.9 , pp. 209-212
    • Rosen, K.1
  • 15
    • 0000842298 scopus 로고
    • Dedekind and Hardy sums
    • R. Sitaramachandrarao, Dedekind and Hardy sums, Acta Arith. 48 (1987), 325-340.
    • (1987) Acta Arith. , vol.48 , pp. 325-340
    • Sitaramachandrarao, R.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.