@article{bwmeta1.element.bwnjournal-article-aav94i2p103bwm,
author = {Bir\'o, A.},
title = {Cycle integrals of Maass forms of weight 0 and Fourier coefficients of Maass forms of weight 1/2},
journal = {Acta Arithmetica},
volume = {92},
year = {2000},
pages = {103-152},
zbl = {0969.11017},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav94i2p103bwm}
}
Biró, A. Cycle integrals of Maass forms of weight 0 and Fourier coefficients of Maass forms of weight 1/2. Acta Arithmetica, Tome 92 (2000) pp. 103-152. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav94i2p103bwm/
[000] [A-L] Atkin, A. O. L., and Lehner, J., Hecke operators on , Math. Ann. 185 (1970), 134-160.
[001] [B] Biró, A., On a generalization of the Selberg trace formula, Acta Arith. 87 (1999), 319-338. | Zbl 0927.11031
[002] [Da] Davenport, H., Multiplicative Number Theory, 2nd ed., Springer, Berlin, 1980.
[003] [Du] Duke, W., Hyperbolic distribution problems and half-integral weight Maass forms, Invent. Math. 92 (1988), 73-90. | Zbl 0628.10029
[004] [G] J. Guo, On the positivity of the central critical values of automorphic L-functions for GL(2), Duke Math. J. 83 (1996), 157-190. | Zbl 0861.11032
[005] [I1] Iwaniec, H., Introduction to the Spectral Theory of Automorphic Forms, Rev. Mat. Iberoamericana, 1995.
[006] [I2] Iwaniec, H., Topics in Classical Automorphic Forms, Lecture Notes, Rutgers University, 1995.
[007] [K-S] Katok, S., and Sarnak, P., Heegner points, cycles and Maass forms, Israel J. Math. 84 (1993), 193-227. | Zbl 0787.11016
[008] [Ko1] Kohnen, W., Modular forms of half-integral weight on , Math. Ann. 248 (1985), 249-266.
[009] [Ko2] Kohnen, W., Fourier coefficients of modular forms of half-integral weight, ibid. 271 (1985), 237-268.
[010] [Ko3] Kohnen, W., Newforms of half-integral weight, J. Reine Angew. Math. 333 (1982), 32-72. | Zbl 0475.10025
[011] [Ko-Z] Kohnen, W., and Zagier, D., Values of L-series of modular forms at the center of the critical strip, Invent. Math. 64 (1981), 175-198. | Zbl 0468.10015
[012] [K] Kuznetsov, N. V., Petersson's conjecture for cusp forms of weight 0 and Linnik's conjecture. Sums of Kloosterman sums, Mat. Sb. 111 (1980), 334-383 (in Russian). | Zbl 0427.10016
[013] [La] Landau, E., Vorlesungen über Zahlentheorie, 3 vol., Hirzel, Leipzig, 1927.
[014] [Le] Lebedev, N. N., Special Functions and their Applications, 2nd ed., Moscow, 1963.
[015] [M] Maass, H., Über die räumliche Verteilung der Punkte in Gittern mit indefiniter Metrik, Math. Ann. 138 (1959), 287-315. | Zbl 0089.06102
[016] [M-O] Magnus, O., and Oberbettinger, F., Formulas and Theorems for the Functions of Mathematical Physics, Springer, Berlin, 1966.
[017] [N] Niwa, S., Modular forms of half-integral weight and the integral of certain theta functions, Nagoya Math. J. 56 (1974), 147-161.
[018] [P] Proskurin, N. V., General Kloosterman sums, preprint LOMI R-3-80, Akad. Nauk SSSR Mat. Inst. Leningr. Otd. (1980) (in Russian), MR 82E 10040.
[019] [P-Sz] Pólya, G., and Szegö, G., Problems and Theorems in Analysis, Vol. 1, Springer, Berlin, 1972.
[020] [Shim] Shimura, G., On modular forms of half-integral weight, Ann. of Math. (2) 97 (1973), 440-481. | Zbl 0266.10022
[021] [Shin] Shintani, T., On construction of holomorphic cusp forms of half-integral weight, Nagoya Math. J. 58 (1975), 83-126. | Zbl 0316.10016
[022] [Wal] Waldspurger, J. L., Sur les coefficients de Fourier des formes modulaires de poids demi-entier, J. Math. Pures Appl. 60 (1981), 375-484. | Zbl 0431.10015
[023] [W] Watson, G. N., A Treatise on the Theory of Bessel Functions, 2nd ed., Cambridge Univ. Press, 1952.