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Volumn 133, Issue 2, 2005, Pages 313-320

An improved Mordell type bound for exponential sums

Author keywords

Exponential sums

Indexed keywords


EID: 13544269592     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-04-07726-3     Document Type: Conference Paper
Times cited : (27)

References (16)
  • 1
    • 0038305381 scopus 로고
    • Estimates for rational trigonometric sums of a special type
    • N. M. Akulinichev, Estimates for rational trigonometric sums of a special type, Doklady Acad. Sci. USSR 161 (1965), 743-745. English translation in Doklady 161, no. 4 (1965), 480-482. MR 0177956 (31:2214)
    • (1965) Doklady Acad. Sci. USSR , vol.161 , pp. 743-745
    • Akulinichev, N.M.1
  • 2
    • 0037968091 scopus 로고
    • MR 0177956 (31:2214)
    • N. M. Akulinichev, Estimates for rational trigonometric sums of a special type, Doklady Acad. Sci. USSR 161 (1965), 743-745. English translation in Doklady 161, no. 4 (1965), 480-482. MR 0177956 (31:2214)
    • (1965) Doklady , vol.161 , Issue.4 , pp. 480-482
  • 3
    • 23044521839 scopus 로고    scopus 로고
    • Mixed exponential sums over finite fields
    • MR 1690978 (2000m:11070)
    • F. N. Castro & C. J. Moreno, Mixed exponential sums over finite fields, Proc. Amer. Math. Soc. 128, no. 9 (2000), 2529-2537. MR 1690978 (2000m:11070)
    • (2000) Proc. Amer. Math. Soc. , vol.128 , Issue.9 , pp. 2529-2537
    • Castro, F.N.1    Moreno, C.J.2
  • 4
    • 0142025622 scopus 로고    scopus 로고
    • Stepanov's method applied to binomial exponential sums
    • MR 2013138
    • T. Cochrane & C. Pinner, Stepanov's method applied to binomial exponential sums. Quart. J. Math. 54, no. 3 (2003), 243-255. MR 2013138
    • (2003) Quart. J. Math. , vol.54 , Issue.3 , pp. 243-255
    • Cochrane, T.1    Pinner, C.2
  • 5
    • 0037907638 scopus 로고    scopus 로고
    • Bounds on exponential sums and the polynomial Waring's problem mod p
    • MR 1956138 (2003m:11129)
    • T. Cochrane, C. Pinner & J. Rosenhouse, Bounds on exponential sums and the polynomial Waring's problem mod p, J. London Math. Soc. (2) 67, no. 2 (2003), 319-336. MR 1956138 (2003m:11129)
    • (2003) J. London Math. Soc. (2) , vol.67 , Issue.2 , pp. 319-336
    • Cochrane, T.1    Pinner, C.2    Rosenhouse, J.3
  • 6
    • 84941489625 scopus 로고
    • On certain exponential sums
    • H. Davenport, On certain exponential sums, Journal für Math., 169 (1933), 158-176.
    • (1933) Journal für Math. , vol.169 , pp. 158-176
    • Davenport, H.1
  • 7
    • 0034404750 scopus 로고    scopus 로고
    • New bounds for Gauss sums derived from kth powers, and for Heilbronn's exponential sum
    • MR 1765792 (2001h:11106)
    • D. R. Heath-Brown & S. Konyagin, New bounds for Gauss sums derived from kth powers, and for Heilbronn's exponential sum, Quart. J. Math. 51 (2000), 221-235. MR 1765792 (2001h:11106)
    • (2000) Quart. J. Math. , vol.51 , pp. 221-235
    • Heath-Brown, D.R.1    Konyagin, S.2
  • 8
    • 0038644309 scopus 로고
    • On estimates of complete trigonometric sums
    • Russian
    • A. A. Karatsuba, On estimates of complete trigonometric sums, Matem. Zametki. 1 (1967), 199-208 (Russian); translation in Math. Notes (1968), 133-139.
    • (1967) Matem. Zametki. , vol.1 , pp. 199-208
    • Karatsuba, A.A.1
  • 9
    • 13544257505 scopus 로고
    • A. A. Karatsuba, On estimates of complete trigonometric sums, Matem. Zametki. 1 (1967), 199-208 (Russian); translation in Math. Notes (1968), 133-139.
    • (1968) Math. Notes , pp. 133-139
  • 11
    • 0013524759 scopus 로고
    • On a sum analogous to a Gauss's sum
    • L. J. Mordell, On a sum analogous to a Gauss's sum, Quart. J. Math. 3 (1932), 161-167.
    • (1932) Quart. J. Math. , vol.3 , pp. 161-167
    • Mordell, L.J.1
  • 12
    • 0002342357 scopus 로고
    • Estimate of a sum along an algebraic curve
    • MR 0241424 (39:2764)
    • G. I. Perel'muter, Estimate of a sum along an algebraic curve, Mat. Zametki 5 (1969), 373-380. MR 0241424 (39:2764)
    • (1969) Mat. Zametki , vol.5 , pp. 373-380
    • Perel'muter, G.I.1
  • 13
    • 0003800682 scopus 로고
    • Computational and algorithmic problems in finite fields
    • Kluwer. MR 1249064 (94j:11122)
    • I. E. Shparlinski, Computational and Algorithmic Problems in Finite Fields, Mathematics and its applications (Soviet series), Kluwer, 1992. MR 1249064 (94j:11122)
    • (1992) Mathematics and Its Applications (Soviet Series)
    • Shparlinski, I.E.1
  • 14
    • 0001303344 scopus 로고
    • On some exponential sums
    • MR 0027006 (10:234e)
    • A. Weil, On some exponential sums, Proc. Nat. Acad. Sci. U.S.A. 34 (1948), 204-207. MR 0027006 (10:234e)
    • (1948) Proc. Nat. Acad. Sci. U.S.A. , vol.34 , pp. 204-207
    • Weil, A.1
  • 15
    • 0000305871 scopus 로고    scopus 로고
    • A note on simultaneous congruences
    • MR 1393617 (97h:11037)
    • T. Wooley, A note on simultaneous congruences, J. Number Theory 58 (1996), no. 2, 288-297. MR 1393617 (97h:11037)
    • (1996) J. Number Theory , vol.58 , Issue.2 , pp. 288-297
    • Wooley, T.1
  • 16
    • 23044529540 scopus 로고    scopus 로고
    • Estimates for complete exponential sums of special types
    • MR 1857123 (2002g:11126)
    • H. B. Yu, Estimates for complete exponential sums of special types, Math. Proc. Camb. Phil. Soc. 131 (2001), 321-326. MR 1857123 (2002g:11126)
    • (2001) Math. Proc. Camb. Phil. Soc. , vol.131 , pp. 321-326
    • Yu, H.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.