On the hybrid mean value of Dedekind sums and Hurwitz zeta-function

• Autorzy: Wenpeng Zhang
• Języki publikacji: EN

Słowa kluczowe

EN

Dedekind sums   Hurwitz zeta-function   the hybrid mean value  

Kategorie tematyczne

• 11N37: Asymptotic results on arithmetic functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2000
• Tom: 92
• Numer: 2
• Strony: 141-152

Daty

wydano

2000

otrzymano

1998-07-21

Twórcy

autor

Wenpeng Zhang

• Institute of Modern Physics, Northwest University, Xi'an, Shaanxi, P.R. China

Bibliografia

• [1] T. M. Apostol, Introduction to Analytic Number Theory, Springer, New York, 1976.
• [2] T. M. Apostol, Modular Functions and Dirichlet Series in Number Theory, Springer, New York, 1976.
• [3] L. Carlitz, The reciprocity theorem of Dedekind sums, Pacific J. Math. 3 (1953), 513-522.
• [4] J. B. Conrey, E. Fransen, R. Klein and C. Scott, Mean values of Dedekind sums, J. Number Theory 56 (1996), 214-226.
• [5] L. J. Mordell, The reciprocity formula for Dedekind sums, Amer. J. Math. 73 (1951), 593-598.
• [6] H. Rademacher, On the transformation of log η(τ), J. Indian Math. Soc. 19 (1955), 25-30.
• [7] H. Rademacher, Dedekind Sums, Carus Math. Monographs, Math. Assoc. Amer., Washington, DC, 1972.
• [8] H. Walum, An exact formula for an average of L-series, Illinois J. Math. 26 (1982), 1-3.
• [9] W. P. Zhang, On the mean values of Dedekind sums, J. Théor. Nombres Bordeaux 8 (1996), 429-442.