논문KCI 등재
Weber functions and generalized theta-functions associated with Hecke operators
4
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
In this paper, we investigate the action of the Hecke operators to the logarithm of families of Weber functions and generalized theta-functions.
Abstract
In this paper, we investigate the action of the Hecke operators to the logarithm of families of Weber functions and generalized theta-functions.
참고문헌 (15)
- T. M. Apostol, "Modular functions and Dirichlet series in Number Theory" (1976), Springer-Verlag
- A. A. Aygunes, "Hecke Operators Related to the Generalized Dedekind Eta Functions and Applications", Numer. Anal. Appl. Math.Vol. I-III Book Series: AIP Conference Proceedings Volume, 1281, pp.1098~1101 (2010)
- D. A. Cox, "Primes of the form x2 + ny2" (1989), John Wiley & Sons
- E. Hecke, "Mathematische Werke" (1983), Vandenhoeck & Ruprecht in Göttingen
- E. Hecke, "Lectures on Dirichlet Series Modular Functions and Quadratic Forms" (1983), Vandenhoeck&Ruprecht
- M. I. Knoop, "Hecke operators and identity for Dedekind sums", J. Number Theory, 12, pp.2~9 (1980)
- N. Koblitz, "Introduction to elliptic curves and modular forms" (1993), Springer-Verlag
- L. C. Miao, "A study of Hecke operators", Soochow J. Math, 22(4), pp.573~581 (1996)
- B. Schoeneberg, "An introduction elliptic modular functions" (1974), Springer-Verlag
- Y. Simsek, "Relations between theta-functions Hardy sums Eisenstein series and Lambert series in the transfor- mation formula of log g;h(z)", J. Number Theory, 99, pp.338~360 (2003)
- Y. Simsek, "On Weierstrass (z) -function Hardy sums and Eisenstein series", Proc. Jangjeon Math. Soc, 7(2), pp.99~108 (2004)
- Y. Simsek, "Remarks on Dedekind eta function theta functions and Eisenstein series under the Hecke operators", Adv. Stud. Contemp. Math, 10(1), pp.15~24 (2005)
- Y. Simsek, "Transformation of four Titchmarsh-type in nite integrals and generalized Dedekind sums associated with Lambert series", Adv. Stud. Contemp. Math, 9(2), pp.195~202 (2004)
- Y. Simsek, "Remarks on reciprocity laws of the Dedekind and Hardy sums", Adv. Stud. Contemp. Math, 12(2), pp.237~246 (2006)
- M. Waldschmidt, "From Number Theory to Physics" (1995), Springer-Verlag
관련 논문AI추천
Theta sums of higher index양재현대한수학회 · 대한수학회보2016 · 제53권 제6호Determination of the Fricke families신동화, Ick Sun Eum대한수학회 · 대한수학회지2016 · 제53권 제6호Further evaluations of Ramanujan-Weber class invariants $g_n$B. R. Rakshith, G. N. Rajappa, Veeresha R.G.장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제1호On evaluations of the modular $j$--invariant by modular equations of degree 2Dae Hyun Paek, Jinhee Yi대한수학회 · 대한수학회보2015 · 제52권 제1호Further evaluations of Ramanujan-Weber class invariants g_nB. R. Rakshith, G. N. Rajappa, R. G. veeresha장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제3호On values of Jacobi forms and elliptic Dedekind sumsAbdelmejid Bayad장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2009 · 제12권 제2호
이 간행물의 다른 논문 (12건)
Representation of the neural networks by the game method for modellingS. Sotirov, K. Atanassovpp. 347-354Partial sign solvable linear system with maximal sign solvable subsystemJ. W. Parkpp. 355-362Identities associated with generalized twisted Euler polynomials twisted by ramified roots of unity김대산pp. 363-377A note on Eulerian polynomials associated with Bernoulli and Euler numbers and polynomials김대산, 김영희, T. Kim, D. V. Dolgypp. 379-389On the defining number and strong defining number for vertex colourings of Jahangir graphsN.D. Soner, Z. Tahmasbzadehbaeepp. 391-398
