논문KCI 등재
Nonlift weight two paramodular eigenform constructions
0
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
We complete the construction of the nonlift weight two cusp para\-modular Hecke eigenforms for prime levels $N<600$, which arise in conformance with the paramodular conjecture of Brumer and Kramer.
Abstract
We complete the construction of the nonlift weight two cusp para\-modular Hecke eigenforms for prime levels $N<600$, which arise in conformance with the paramodular conjecture of Brumer and Kramer.
참고문헌 (21)
- Cris Poor, "Computations of spaces of paramodular forms of general level", 대한수학회지, 53(3), pp.645~689 (2016), 대한수학회
- A. Brumer, "Paramodular abelian varieties of odd conductor", Trans. Amer. Math. Soc, 366(5), pp.2463~2516 (2014)[DOI]
- A. Brumer, "Paramodular abelian varieties of odd conductor", arXiv: 1004.4699, ~ (2018)
- A. Brumer, "On the paramod-ularity of typical abelian surfaces", Algebra Number Theory, 13(5), pp.1145~1195 (2019)[DOI]
- M. Eichler, "The Theory of Jacobi Forms", Progress in Mathematics, 55 (1985), Birkhauser Boston, Inc
- V. A. Gritsenko, "24 faces of the Borcherds modular form 12", arXiv:1203.6503, ~ (2012)
- V. A. Gritsenko, "Automorphic forms and Lorentzian Kac-Moody algebras. II", Internat. J. Math, 9(2), pp.201~275 (1998)[DOI]
- V. A. Gritsenko, "Borcherds products everywhere", J. Number Theory, 148, pp.164~195 (2015)[DOI]
- V. A. Gritsenko, "Antisymmetric paramodular forms of weights 2 and 3", Int. Math. Res. Not. IMRN
- "Theta blocks"[URL]
- T. Ibukiyama, "Dimension formulas of paramodular forms of squarefree level and comparison with inner twist", J. Math. Soc. Japan, 69(2), pp.597~671 (2017)[DOI]
- T. Ibukiyama, "Jacobi forms that characterize paramodular forms", Abh. Math. Semin. Univ. Hambg, 83(1), pp.111~128 (2013)[DOI]
- C. Poor, "Siegel paramodular forms of weight 2 and square-free level", Int. J. Number Theory, 13(10), pp.2627~2652 (2017)[DOI]
- C. Poor, "Finding all Borcherds product paramodular cusp forms of a given weight and level", arXiv:1803.11092, ~ (2018)
- "Nonlift weight two paramodular eigenform constructions" (2018)[URL]
- C. Poor, "Paramodular cusp forms", Math. Comp, 84(293), pp.1401~1438 (2015)[DOI]
- C. Poor, "Paramodular Forms of Weight 2, Prime Levels to 600", Math. Comp, 84(293), pp.1401~1438 (2015)[DOI]
- B. Roberts, "Automorphic forms and zeta functions", pp.334~364 (2006), World Sci. Publ.
- B. Roberts, "Local newforms for GSp(4)", Lecture Notes in Mathematics, 1918 (2007), Springer
- G. Shimura, "On the Fourier coecients of modular forms of several variables", Nachr. Akad. Wiss. Gottingen Math.-Phys. Kl. II, 1975(17), pp.261~268 (1975)
- N. -P. Skoruppa, "A trace formula for Jacobi forms", J. Reine Angew. Math, 393, pp.168~198 (1989)[DOI]
관련 논문AI추천
Eigenvalues and congruences for the weight~3 paramodular nonlifts of levels~61, 73, and~79Cris Poor, David S. Yuen, Jerry Shurman대한수학회 · 대한수학회지2024 · 제61권 제5호Computations of spaces of paramodular forms of general levelCris Poor, David S. Yuen, Jeffery Breeding II대한수학회 · 대한수학회지2016 · 제53권 제3호The cusp structure of the paramodular groups for degree twoCris Poor, David S. Yuen대한수학회 · 대한수학회지2013 · 제50권 제2호ON FOURIER COEFFICIENTS OF SOME MEROMORPHIC MODULAR FORMSMasanobu Kaneko, Yutaro Honda대한수학회 · 대한수학회보2012 · 제49권 제6호On the Finiteness and Non-Existence of Certain Mod 2 Galois Representations of Quadratic FieldsHyunsuk Moon, Yuichiro Taguchi경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제2호Determination of the Fricke families신동화, Ick Sun Eum대한수학회 · 대한수학회지2016 · 제53권 제6호
이 간행물의 다른 논문 (13건)
Modular Jordan type for $\k [x, y] / (x^m,y^n)$ for $m = 3, 4$신용수, 박정필pp. 283-312Harnack estimates for nonlinear backward heat equations with potentials along the Ricci-Bourguignon flowJian-Hong Wangpp. 313-329Applications of differential subordinations to certain classes of starlike functionsShagun Banga, S. SIVAPRASAD KUMARpp. 331-357Conditional expectation of Pettis integrable unbounded random setsMohamed El Haramipp. 359-381Orbit equivalence on self-similar groups and their $C^*$-algebras이인협pp. 383-399
