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Volumn 240, Issue 2, 1999, Pages 505-517

On the mean value of the Dedekind sum with the weight of Hurwitz zeta-function

Author keywords

Dedekind sums; distribution of the mean value; asymptotic formula

Indexed keywords


EID: 0347145858     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1999.6607     Document Type: Article
Times cited : (5)

References (9)
  • 3
    • 84972538108 scopus 로고
    • The reciprocity theorem of Dedekind sums
    • Carlitz L. The reciprocity theorem of Dedekind sums. Pacific J. Math. 3:1953;513-522.
    • (1953) Pacific J. Math. , vol.3 , pp. 513-522
    • Carlitz, L.1
  • 5
    • 0001311312 scopus 로고
    • The reciprocity formula for Dedekind sums
    • Mordell L. J. The reciprocity formula for Dedekind sums. Amer. J. Math. 73:1951;593-598.
    • (1951) Amer. J. Math. , vol.73 , pp. 593-598
    • Mordell, L.J.1
  • 6
    • 0002473640 scopus 로고
    • On the transformation of log η(τ)
    • Rademacher H. On the transformation of log η(τ). J. Indian Math. Soc. 19:1955;25-30.
    • (1955) J. Indian Math. Soc. , vol.19 , pp. 25-30
    • Rademacher, H.1
  • 7
    • 0003227956 scopus 로고
    • Dedekind Sums
    • Washington: Mathematics Association of America
    • Rademacher H. Dedekind Sums. Carus Mathematical Monographs. 1972;Mathematics Association of America, Washington.
    • (1972) Carus Mathematical Monographs
    • Rademacher, H.1
  • 8
    • 0002378122 scopus 로고
    • An exact formula for an average of L-series
    • Walum H. An exact formula for an average of L-series. Illinois J. Math. 26:1982;1-3.
    • (1982) Illinois J. Math. , vol.26 , pp. 1-3
    • Walum, H.1
  • 9
    • 85009921552 scopus 로고    scopus 로고
    • On the mean values of Dedekind sums
    • Zhang W. On the mean values of Dedekind sums. J. Theor. Nombres Bordeaux. 8:1996;429-442.
    • (1996) J. Theor. Nombres Bordeaux , vol.8 , pp. 429-442
    • Zhang, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.