On q-analgue of the twisted L-functions and q-twisted Bernoulli numbers

Journal of the Korean Mathematical Society

Volumn 40, Issue 6, 2003, Pages 963-975

  Simsek, Yilmaz ^a  

^a MERSIN UNIVERSITY   (Turkey)

Author keywords

Dirichlet L functions; Generalized Bernoulli numbers and polynomials; Hurwitz zeta function; q analogues of the Dirichlet series and q L series; q Bernoulli numbers; Twisted L functions

Indexed keywords

EID: 18344372229     PISSN: 03049914     EISSN: None     Source Type: Journal    
DOI: 10.4134/JKMS.2003.40.6.963     Document Type: Article

References (12)

1. L. Carlitz, q-Bernoulli numbers and polynomials, Duke Math. J. 15 (1948), 987-1000.
2. K. Iwasawa, Lectures on p-adic L-Functions, Princeton Univ. Press, 1972.
3. T. Kini, On a q-Analogue of the p-Adic Log Gamma functions and related Integrals, J. Number Theory 76 (1999), 320-329.
4. _, On p-Adic q-Bernoulli Numbers, J. Korean Math. Soc. 37 (2000), no. 1, 21-30.
5. _, q-Volkenborn Integration. Russian J. Math. Phys. 9 (2002), 288-299.
6. T. Kim and S. -H. Rim, Generalized Carlitz's q-Bernoulli numbers in the p-adic number fields, Adv. Stud. Contemp. Math. 2 (2000), 9-19.
7. N. Koblitz, A New Proof of Certain formulas for p-adic L-Functions, Duke Math. J. 46 (1979), no. 2, 455-468.
8. _, P-adic Analysis: a Short Course on Recent Work, London Math. Soc. Lecture Note Ser. 46, 1980.
9. _, On Carlitz's q-Bernoulli Numbers, J. Number Theory 14 (1982), 332-339.
10. J. Satoh, q-Analogue of Riemann's ζ-function and q-Euler Numbers, J. Number Theory 31 (1989), 346-362.
11. Y. Simsek, Theorems on Twisted L-functions and Twisted Bernoulli numbers, submitted.
12. H. Tsumura, A Note on q-Analogues of the Dirichlet Series and q-Bernoulli numbers, J. Number Theory 39 (1991), 251-256.