Nonexistence of extremal lattices in certain genera of modular lattices

Journal of Number Theory

Volumn 60, Issue 2, 1996, Pages 310-317

  Nebe, Gabriele ^a   Venkov, Boris B ^b  

^a RWTH AACHEN UNIVERSITY   (Germany)

^b STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030268376     PISSN: 0022314X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jnth.1996.0125     Document Type: Article

References (7)

1. [BSP 91] S. Böcherer and R. Schulze-Pillot, Siegel modular forms and theta series attached to quaternion algebras. Nagoya Math. J. 121 (1991), 35-96.
2. [CoS 93] J. H. Conway and N. J. A. Sloane, "Sphere Packings, lattices and groups," 2nd ed., Springer, New York, 1993.
3. [Fre 83] E. Freitag, "Siegelsche Modulfunktionen," Springer, New York, 1983.
4. [Has 83] K. Hashimoto, The dimension of the spaces of cusp forms on Siegel upper half plane of degree two, I, J. fac. sci. Univ. Tokyo Sect. IA Math. 30, No. 2 (1983), 403-488.
5. [Miy 89] T. Miyake, "Modular Forms," Springer, New York, 1989.
6. [Que 95] H.-G. Quebbemann, Modular lattices in euclidean spaces, J. Number Theory 54 (1995), 190-202.
7. [ScH 95] R. Scharlau and B. Hemkemeier, Classification of integral lattices with large class numbers, preprint.