The divisor function over arithmetic progressions

Etienne Fouvry; Henryk Iwaniec; Nicholas Katz

Acta Arithmetica (1992)

  • Volume: 61, Issue: 3, page 271-287
  • ISSN: 0065-1036

How to cite

top

Etienne Fouvry, Henryk Iwaniec, and Nicholas Katz. "The divisor function over arithmetic progressions." Acta Arithmetica 61.3 (1992): 271-287. <http://eudml.org/doc/206466>.

@article{EtienneFouvry1992,
author = {Etienne Fouvry, Henryk Iwaniec, Nicholas Katz},
journal = {Acta Arithmetica},
keywords = {arithmetic progression; divisor function; average result; estimate for sums of Kloosterman sums},
language = {eng},
number = {3},
pages = {271-287},
title = {The divisor function over arithmetic progressions},
url = {http://eudml.org/doc/206466},
volume = {61},
year = {1992},
}

TY - JOUR
AU - Etienne Fouvry
AU - Henryk Iwaniec
AU - Nicholas Katz
TI - The divisor function over arithmetic progressions
JO - Acta Arithmetica
PY - 1992
VL - 61
IS - 3
SP - 271
EP - 287
LA - eng
KW - arithmetic progression; divisor function; average result; estimate for sums of Kloosterman sums
UR - http://eudml.org/doc/206466
ER -

References

top
  1. [1] A. Adolphson and S. Sperber, Exponential sums and Newton polyhedra, Bull. Amer. Math. Soc. 16 (1987), 282-286. Zbl0634.12018
  2. [2] A. Adolphson and S. Sperber, Exponential sums on (Gₘ)ⁿ, Invent. Math. 101 (1990), 63-79. 
  3. [3] E. Fouvry, Sur le problème des diviseurs de Titchmarsh, J. Reine Angew. Math. 357 (1985), 51-76. Zbl0547.10039
  4. [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. Zbl0572.10029
  5. [De-Weil II] P. Deligne, La conjecture de Weil II, Publ. Math. I.H.E.S. 52 (1981), 313-428. 
  6. [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. 
  7. [[Ka-ESDE, 7.4] N. Katz, Exponential Sums and Differential Equations, Ann. of Math. Stud. 124, Princeton Univ. Press, 1990. Zbl0731.14008
  8. [Ka-GKM] N. Katz, Gauss Sums, Kloosterman Sums and Monodromy Groups, Ann. of Math. Stud. 116, Princeton Univ. Press, 1988. Zbl0675.14004
  9. [Ka-Lg] N. Katz, Local to global extensions of representations of fundamental groups, Ann. Inst. Fourier (Grenoble) 36 (4) (1986), 59-106. 
  10. [Weil] A. Weil, On some exponential sums, Proc. Nat. Acad. Sci. U.S.A. 34 (1948), 204-207. Zbl0032.26102

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.