Main purpose of this paper is to define an elliptic analogue of the Hardy sums. Some results, which are related to elliptic analogue of the Hardy sums, are given.
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https://www.riss.kr/link?id=A103365818
Yilmaz Simsek (Akdeniz University) ; Daeyeoul Kim (National Institute for Mathematical Science) ; 구자경 (Korea Advanced Institute of Science and Technology)
2009
English
KCI등재,SCIE,SCOPUS
학술저널
1-10(10쪽)
1
0
상세조회0
다운로드다국어 초록 (Multilingual Abstract)
Main purpose of this paper is to define an elliptic analogue of the Hardy sums. Some results, which are related to elliptic analogue of the Hardy sums, are given.
Main purpose of this paper is to define an elliptic analogue of the
Hardy sums. Some results, which are related to elliptic analogue of
the Hardy sums, are given.
다국어 초록 (Multilingual Abstract)
Main purpose of this paper is to define an elliptic analogue of the Hardy sums. Some results, which are related to elliptic analogue of the Hardy sums, are given.
Main purpose of this paper is to define an elliptic analogue of the
Hardy sums. Some results, which are related to elliptic analogue of
the Hardy sums, are given.
참고문헌 (Reference)
1 B. Schoneneberg, "Zur Theorie der verallgemeinerten Dedekindschen Modulfunktionen" 119-128, 1969
2 H. Rademacher, "Zur Theorie der Modulfunktionen" 167 : 312-336, 1932
3 Y. Simsek, "Transformation of four Titchmarsh-type in nite integrals and generalized Dedekind sums associated with Lambert series" 9 (9): 195-202, 2004
4 J. Lewittes, "Trans. Amer. Math. Soc.Analytic continuation of Eisenstein series" 171 : 469-490, 1972
5 H.Rademacher, "Topics in Analytic Number Theory" Springer-Verlag 1988
6 M. R. Pettet, "Three-term relations for Hardy sums" 25 (25): 328-339, 1987
7 D. Bertrand, "Theta functions and transcendence" 1 (1): 339-350, 1997
8 Y. Simsek, "Theorems on three-term relations for Hardy sums" 22 (22): 153-162, 1998
9 A. Bayad, "Sommes elliptiques multiples d'Apostol-Dedekind-Zagier" 339 (339): 457-462, 2004
10 Y. Simsek, "Relations between theta-functions Hardy sums Eisenstein and Lambert series in the transformation formula of logg;h(z)" 99 (99): 338-360, 2003
1 B. Schoneneberg, "Zur Theorie der verallgemeinerten Dedekindschen Modulfunktionen" 119-128, 1969
2 H. Rademacher, "Zur Theorie der Modulfunktionen" 167 : 312-336, 1932
3 Y. Simsek, "Transformation of four Titchmarsh-type in nite integrals and generalized Dedekind sums associated with Lambert series" 9 (9): 195-202, 2004
4 J. Lewittes, "Trans. Amer. Math. Soc.Analytic continuation of Eisenstein series" 171 : 469-490, 1972
5 H.Rademacher, "Topics in Analytic Number Theory" Springer-Verlag 1988
6 M. R. Pettet, "Three-term relations for Hardy sums" 25 (25): 328-339, 1987
7 D. Bertrand, "Theta functions and transcendence" 1 (1): 339-350, 1997
8 Y. Simsek, "Theorems on three-term relations for Hardy sums" 22 (22): 153-162, 1998
9 A. Bayad, "Sommes elliptiques multiples d'Apostol-Dedekind-Zagier" 339 (339): 457-462, 2004
10 Y. Simsek, "Relations between theta-functions Hardy sums Eisenstein and Lambert series in the transformation formula of logg;h(z)" 99 (99): 338-360, 2003
11 B. C. Berndt, "Periodic analogues of the Euler-Maclaurin and Poisson summation formulas with applications to number theory" 28 (28): 23-68, 1975
12 Y. Simsek, "On Weierstrass }(z) function Hardy sums and Eisenstein series" 7 (7): 99-108, 2004
13 V. Kurt, "On Dedekind sums" 21 (21): 893-896, 1990
14 M. I. Knoop, "Modular Functions in Analytic Number Theory" Markham Publishing Company 1970
15 T.M.Apostol, "Modular Functions and Dirichlet Series in Number Theory" Springer-Verlag 1976
16 N. Koblitz, "Introduction to Elliptic Curves and Modular Forms" Springer-Verlag 1993
17 D. Zagier, "Higher dimensional Dedekind sums" 202 : 149-172, 1973
18 M. Can, "Generalized Hardy-Berndt sums" 장전수학회 9 (9): 19-38, 2006
19 Y. Simsek, "Generalized Dedekind sums associated with the Abel sum and the Eisenstein and Lambert series" 9 (9): 125-137, 2004
20 B. C. Berndt, "Generalized Dedekind eta-functions and generalized Dedekind sums" 178 : 495-508, 1973
21 M. Waldschmidt, "From Number Theory to Physics" Springer-Verlag 1995
22 B. C. Berndt, "Explicit evaluations and reciprocity theorems for nite trigonometric sums" 29 (29): 358-385, 2002
23 R. A. Rankin, "Elementary proofs of relations between Eisenstein series" 76 (76): 107-117, 1976
24 R. Sitaramachandrarao, "Dedekind and Hardy sums" 48 : 325-340, 1978
25 U. Dieter, "Cotangent sums, a further generalization of Dedekind sums" 18 (18): 289-305, 1984
26 A. Bayad, "Applications aux sommes elliptiques d'Apostol-Dedekind-Zagier" 339 (339): 529-532, 2004
27 B. C. Berndt, "Analytic properties of arithmetic sums arising in the theory of the classical theta functions" 15 (15): 143-150, 1984
28 J. Lewittes, "Analytic continuation of the series ∑(m+nz)−s" 159 : 505-509, 1971
29 B. C. Berndt, "Analytic Eisenstein series, theta-functions, and series relations in the spirit of Ramanujan" 303 : 332-365, 1978
30 S. Egami, "An elliptic analogue of the multiple Dedekind sums" 99 (99): 99-103, 1995
31 S. J. Patterson, "An Introduction to the Theory of the Riemann Zeta-Function" Cam-bridge University Press 1988
EMBED DINGS OF LINE IN THE PLANE AND ABHYANKAR-MOH EPIMORPHISM THEOREM
CHARACTERIZATION OF ORTHONORMAL HIGH-ORDER BALANCED MULTIWAVELETS IN TERMS OF MOMENTS
FACTORABLE SURFACES IN 3-MINKOWSKI SPACE
A NOTE ON THE GENERALIZED MYERS THEOREM
학술지 이력
연월일 | 이력구분 | 이력상세 | 등재구분 |
---|---|---|---|
2023 | 평가예정 | 해외DB학술지평가 신청대상 (해외등재 학술지 평가) | |
2020-01-01 | 평가 | 등재학술지 유지 (해외등재 학술지 평가) | |
2010-01-01 | 평가 | 등재학술지 유지 (등재유지) | |
2008-01-01 | 평가 | 등재학술지 유지 (등재유지) | |
2006-01-01 | 평가 | 등재학술지 유지 (등재유지) | |
2004-01-01 | 평가 | 등재학술지 유지 (등재유지) | |
2001-07-01 | 평가 | 등재학술지 선정 (등재후보2차) | |
1999-01-01 | 평가 | 등재후보학술지 선정 (신규평가) |
학술지 인용정보
기준연도 | WOS-KCI 통합IF(2년) | KCIF(2년) | KCIF(3년) |
---|---|---|---|
2016 | 0.35 | 0.1 | 0.27 |
KCIF(4년) | KCIF(5년) | 중심성지수(3년) | 즉시성지수 |
0.23 | 0.2 | 0.339 | 0.04 |