The Fourier coefficients of modular forms and Niebur modular integrals having small positive weight, II

 Access to full text

 Full (PDF)

1. [1] G. Andrews, The Theory of Partitions, Cambridge Univ. Press, Cambridge, 1998. Zbl0996.11002
2. [2] D. Goldfeld and P. Sarnak, Sums of Kloosterman sums, Invent. Math. 71 (1983), 243-250. Zbl0507.10029
3. [3] M. Knopp, On the Fourier coefficients of small positive powers of θ(τ), ibid. 85 (1986), 165-183. 
4. [4] M. Knopp, On the Fourier coefficients of cusp forms having small positive weight, in: Proc. Sympos. Pure Math. 49, Part 2, Amer. Math. Soc., Providence, RI, 1989, 111-127. 
5. [5] D. Niebur, Automorphic integrals of arbitrary positive dimension and Poincaré series, Doctoral Dissertation, University of Wisconsin, Madison, 1968. 
6. [6] D. Niebur, Construction of automorphic forms and integrals, Trans. Amer. Math. Soc. 191 (1974), 373-385. Zbl0306.30023
7. [7] P. Pasles and W. Pribitkin, A generalization of the Lipschitz summation formula and some applications, to appear. 
8. [8] W. Pribitkin, The Fourier coefficients of modular forms and modular integrals having small positive weight, Doctoral Dissertation, Temple University, Philadelphia, 1995. Zbl1161.11336
9. [9] W. Pribitkin, The Fourier coefficients of modular forms and Niebur modular integrals having small positive weight, I, Acta Arith. 91 (1999), 291-309. Zbl0944.11014
10. [10] H. Rademacher and H. S. Zuckerman, On the Fourier coefficients of certain modular forms of positive dimension, Ann. of Math. 39 (1938), 433-462. Zbl0019.02201
11. [11] W. Roelcke, Das Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene I, Math. Ann. 167 (1966), 292-337. Zbl0152.07705
12. [12] A. Selberg, On the estimation of Fourier coefficients of modular forms, in: Theory of Numbers, Proc. Sympos. Pure Math. 8, Amer. Math. Soc., Providence, RI, 1965, 1-15.