@article{bwmeta1.element.bwnjournal-article-aav61i3p271bwm, author = {Etienne Fouvry and Henryk Iwaniec and Nicholas Katz}, title = {The divisor function over arithmetic progressions}, journal = {Acta Arithmetica}, volume = {62}, year = {1992}, pages = {271-287}, zbl = {0764.11040}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav61i3p271bwm} }
Etienne Fouvry; Henryk Iwaniec; Nicholas Katz. The divisor function over arithmetic progressions. Acta Arithmetica, Tome 62 (1992) pp. 271-287. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav61i3p271bwm/
[000] [1] A. Adolphson and S. Sperber, Exponential sums and Newton polyhedra, Bull. Amer. Math. Soc. 16 (1987), 282-286. | Zbl 0634.12018
[001] [2] A. Adolphson and S. Sperber, Exponential sums on (Gₘ)ⁿ, Invent. Math. 101 (1990), 63-79.
[002] [3] E. Fouvry, Sur le problème des diviseurs de Titchmarsh, J. Reine Angew. Math. 357 (1985), 51-76. | Zbl 0547.10039
[003] [4] J. Friedlander and H. Iwaniec, Incomplete Kloosterman sums and a divisor problem (with appendix by B. J. Birch and E. Bombieri), Ann. of Math. 121 (1985), 319-350. | Zbl 0572.10029
[004] [De-Weil II] P. Deligne, La conjecture de Weil II, Publ. Math. I.H.E.S. 52 (1981), 313-428.
[005] [SGA] A. Grothendieck et al., Séminaire de Géométrie Algébrique du Bois- Marie, SGA 1, SGA 4, Parts I, II, and III, SGA 4 1/2, SGA 5, SGA 7, Parts I and II, Lecture Notes in Math. 224, 269-270-305, 569, 589, 288-340, Springer, Berlin 1971 to 1977.
[006] [[Ka-ESDE, 7.4] N. Katz, Exponential Sums and Differential Equations, Ann. of Math. Stud. 124, Princeton Univ. Press, 1990. | Zbl 0731.14008
[007] [Ka-GKM] N. Katz, Gauss Sums, Kloosterman Sums and Monodromy Groups, Ann. of Math. Stud. 116, Princeton Univ. Press, 1988. | Zbl 0675.14004
[008] [Ka-Lg] N. Katz, Local to global extensions of representations of fundamental groups, Ann. Inst. Fourier (Grenoble) 36 (4) (1986), 59-106.
[009] [Weil] A. Weil, On some exponential sums, Proc. Nat. Acad. Sci. U.S.A. 34 (1948), 204-207. | Zbl 0032.26102