×
Kojima, Hisashi

An arithmetic of Hermitian modular forms of degree two. (English) Zbl 0502.10011

Invent. Math. 69, No. 2, 217-227 (1982).
Reviewer: Günter Köhler (Würzburg)
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0502.10011

Cited in 2 Reviews
Cited in 24 Documents

MSC:

11F55 Other groups and their modular and automorphic forms (several variables)
11F30 Fourier coefficients of automorphic forms

Keywords:

Saito-Kurokawa conjecture; Hermitian modular cusp forms; Hermitian modular group of degree two; Maass space; Fourier coefficients

Citations:

Zbl 0456.10011; Zbl 0386.10013
Cite Review PDF
Full Text: DOI EuDML

References:

[1] Andrianov, A.N.: Euler products corresponding to Siegel modular forms of genus 2. Russian Math. Surveys29, 45-116 (1974) · Zbl 0304.10021 · doi:10.1070/RM1974v029n03ABEH001285
[2] Andrianov, A.N.: Modular descent and the Saito-Kurokawa conjecture. Invent. Math.53, 267-280 (1979) · Zbl 0414.10017 · doi:10.1007/BF01389767
[3] Braun, H.: Hermitian modular functions. Ann. of Math.50, 827-855 (1949) · Zbl 0038.23803 · doi:10.2307/1969581
[4] Braun, H.: Hermitian modular functions. Ann. of Math.53, 143-160 (1951) · Zbl 0041.41603 · doi:10.2307/1969345
[5] Doi, K., Miyake, T.: Automorphic forms and number theory (in Japanese). Kinokuniya Shoten, Tokyo, 1976 · Zbl 0466.10012
[6] Kohnen, W.: Modular forms of half-integral weight on ?0(4). Math. Ann.248, 249-266 (1980) · doi:10.1007/BF01420529
[7] Kojima, H.: Siegel modular cusp forms of degree two. Tôhoku Math. J.33, 65-75 (1981) · Zbl 0461.10019 · doi:10.2748/tmj/1178229494
[8] Kojima, H.: On construction of Siegel modular forms of degree two. J. Math. Soc. Japan34, 393-412 (1982) · doi:10.2969/jmsj/03430393
[9] Kojima, H.: Rankin’s method in the case of level 4q and its application to the Doi-Naganuma lifting. Tôhoku Math. J.31, 195-205 (1979) · Zbl 0414.10018 · doi:10.2748/tmj/1178229839
[10] Kurokawa, N.: Examples of eigenvalues of Hecke operators on Siegel cusp forms of degree two. Invent. Math.49, 149-165 (1978) · Zbl 0397.10018 · doi:10.1007/BF01403084
[11] Maass, H.: Über eine Spezialschar von Modulformen zweiten Grades. Invent. Math.52, 95-104 (1979) · doi:10.1007/BF01389857
[12] Maass, H.: Über eine Spezialschar von Modulformen zweiten Grades (II). Invent. Math.53, 249-253 (1979) · Zbl 0413.10021 · doi:10.1007/BF01389765
[13] Maass, H.: Über eine Spezialschar von Modulformen zweiten Grades (III). Invent. Math.53, 255-265 (1979) · Zbl 0413.10021 · doi:10.1007/BF01389766
[14] Oda, T.: On modular forms associated with indefinite quadratic forms of signature (2,n?2). Math. Ann.231, 97-144 (1977) · doi:10.1007/BF01361138
[15] Ogg, A.: Modular forms and Dirichlet series. New York: W.A. Benjamin, Inc. 1969 · Zbl 0191.38101
[16] Shimura, G.: Introduction to the arithmetic theory of automorphic functions. Iwanami-Shoten and Princeton University Press 1971 · Zbl 0221.10029
[17] Shimura, G.: Arithmetic of unitary group. Ann. of Math.79, 369-409 (1964) · Zbl 0144.29504 · doi:10.2307/1970551
[18] Shimura, G.: On modular forms of half integral weight. Ann. of Math.97, 440-481 (1973) · Zbl 0266.10022 · doi:10.2307/1970831
[19] Shintani, T.: On construction of holomorphic cusp forms of half integral weight. Nagoya Math. J.58, 83-126 (1975) · Zbl 0316.10016
[20] Zagier, D.: Sur la conjecture de Saito-Kurokawa (d’après H. Maass). Seminaire Delange-Pisot-Poitou (1980)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.