Found 49 Documents (Results 1–49)
Diameter-free estimates for the quadratic Vinogradov mean value theorem. (English) Zbl 1530.11019
Reviewer: Mehdi Hassani (Zanjan)
Subconvexity in inhomogeneous Vinogradov systems. (English) Zbl 1536.11150
Reviewer: Guangshi Lü (Jinan)
MSC:
11P05
Methods of estimating short Kloosterman sums. (English. Russian original) Zbl 1517.11099
Dokl. Math. 106, Part Suppl. 2, S230-S245 (2022); translation from Chebyshevskiĭ Sb. 17, No. 4(60), 79-109 (2016).
The cubic case of Vinogradov’s mean value theorem. (English) Zbl 1522.11084
Reviewer: Mehdi Hassani (Zanjan)
Finding almost squares. VII. (English) Zbl 1511.11079
Reviewer: Mehdi Hassani (Zanjan)
A short proof of \(\ell^2\) decoupling for the moment curve. (English) Zbl 1493.11115
Reviewer: Temenoujka Peneva (Plovdiv)
Arithmetic combinatorics on Vinogradov systems. (English) Zbl 1480.11018
Reviewer: Symon Serbenyuk (Kyïv)
Bounds for discrete moments of Weyl sums and applications. (English) Zbl 1458.11129
Reviewer: Mehdi Hassani (Zanjan)
Waring-Goldbach problem with Piatetski-Shapiro primes. (English. French summary) Zbl 1443.11207
Vinogradov’s mean value theorem as an ingredient in polynomial large sieve inequalities and some consequences. (English) Zbl 1441.11250
Pintz, János (ed.) et al., Irregularities in the distribution of prime numbers. From the era of Helmut Maier’s matrix method and beyond. Cham: Springer. 97-109 (2018).
Decouplings for curves and hypersurfaces with nonzero Gaussian curvature. (English) Zbl 1384.42016
Reviewer: Elijah Liflyand (Ramat-Gan)
Methods of estimating of incomplete Kloosterman sums. (Russian. English summary) Zbl 1373.11059
Chebyshevskiĭ Sb. 17, No. 4(60), 79-109 (2016); translation in Dokl. Math. 106, Suppl. 2, S230-S245 (2022).
On the Waring-Goldbach problem for eighth and higher powers. (English) Zbl 1358.11117
Reviewer: Mihály Szalay (Budapest)
Multigrade efficient congruencing and Vinogradov’s mean value theorem. (English) Zbl 1328.11087
Reviewer: Mehdi Hassani (Zanjan)
On discrete fractional integral operators and related Diophantine equations. (English) Zbl 1337.47048
Reviewer: Chryssoula Ganatsiou (Larissa)
Burgess bounds for short mixed character sums. (English) Zbl 1317.11083
Reviewer: Huaning Liu (Shaanxi)
MSC:
11L40
On Vinogradov’s mean value theorem: strongly diagonal behaviour via efficient congruencing. (English) Zbl 1307.11102
Reviewer: Manfred G. Madritsch (Vandœuvre)
Multidimensional Vinogradov-type estimates in function fields. (English) Zbl 1383.11040
Reviewer: Luis Gallardo (Brest)
Near-optimal mean value estimates for multidimensional Weyl sums. (English) Zbl 1320.11028
Reviewer: Christian Elsholtz (Graz)
Solution-free sets for sums of binary forms. (English) Zbl 1294.11178
Reviewer: Ilya D. Shkredov (Moskva)
On the concentration of points of polynomial maps and applications. (English) Zbl 1285.11027
Reviewer: Enzo Bonacci (Latina)
Hua-type iteration for multidimensional Weyl sums. (English) Zbl 1284.11059
Reviewer: D. R. Heath-Brown (Oxford)
The asymptotic formula in Waring’s problem. (English) Zbl 1267.11104
Int. Math. Res. Not. 2012, No. 7, 1485-1504 (2012); corrigendum ibid. 2015, No. 20, 10702 (2015).
Reviewer: Stephan Baier (Norwich)
On Weyl sums for smaller exponents. (English) Zbl 1328.11085
Reviewer: Mehdi Hassani (Zanjan)
New estimate in Vinogradov’s mean-value theorem. (English. Russian original) Zbl 1306.11063
Math. Notes 89, No. 2, 277-290 (2011); translation from Mat. Zametki 89, No. 2, 285-299 (2011).
Reviewer: Olaf Ninnemann (Berlin)
A generalization of Vinogradov’s mean value theorem. (English) Zbl 1119.11024
Reviewer: Roger Heath-Brown (Oxford)
On the constant factor in Vinogradov’s mean value theorem. (English) Zbl 0974.11034
Reviewer: Matti Jutila (Turku)
MSC:
11L07
On the number of summands in the asymptotic formula for the number of solutions of Waring’s equation. (English. Russian original) Zbl 0923.11138
Math. Notes 64, No. 2, 240-250 (1998); translation from Mat. Zametki 64, No. 2, 285-296 (1998).
Reviewer: M.Jutila (Turku)
MSC:
11P05
Some remarks on Vinogradov’s mean value theorem and Tarry’s problem. (English) Zbl 0881.11043
Reviewer: Ming-Chit Liu (Hongkong)
On a certain nonary cubic form and related equations. (English) Zbl 0847.11052
Reviewer: G.Greaves (Cardiff)
MSC:
11P05
A remark on Vinogradov’s mean-value theorem. (English) Zbl 0869.11064
Reviewer: A.Ivić (Beograd)
On Vinogradov’s mean value theorem. II. (English) Zbl 0805.11072
Reviewer: J.Brüdern (Göttingen)
MSC:
11P05
On Vinogradov’s mean value theorem. (English) Zbl 0769.11036
Reviewer: J.Brüdern (Göttingen)
On Vinogradov’s mean value theorem and Weyl sums. (English) Zbl 0734.11043
Automorphic forms and analytic number theory, Proc. Conf., Montréal/Can. 1989, 7-24 (1990).
Reviewer: J.Hinz (Marburg)
MSC:
11L15
Recent work on Waring’s problem. (English) Zbl 0665.10032
Number theory, trace formulas and discrete groups, Symp. in Honor of Atle Selberg, Oslo/Norway 1987, 503-510 (1989).
Reviewer: Wolfgang Schwarz (Frankfurt / Main)
On the question of the Dirichlet divisor problem in number fields. (Russian) Zbl 0654.10041
Reviewer: Aleksandar Ivić (Beograd)
On I. M. Vinogradov’s mean value theorem. (English. Russian original) Zbl 0604.10018
Trans. Mosc. Math. Soc. 1986, 105-113 (1986); translation from Tr. Mosk. Mat. O.-va 48, 97-105 (1985).
Methods in number theory. Part II. Chapter 3: Methods of trigonometric sums. Reprint. (Chinese) Zbl 0649.10002
Beijing: Science Press. I, 165 p. (1983).
Reviewer: P.Shiu
Multiple trigonometric sums. (English) Zbl 0491.10029
MSC:
11L40
Multiple trigonometric sums. (Russian) Zbl 0481.10038
MSC:
11L40
On a system of Diophantine equations. (English. Russian original) Zbl 0478.10020
Sov. Math., Dokl. 21, 715-717 (1980); translation from Dokl. Akad. Nauk SSSR 252, 275-276 (1980).
On trigonometric sums. (English. Russian original) Zbl 0426.10044
Sov. Math., Dokl. 20, 249-252 (1979); translation from Dokl. Akad. Nauk SSSR 245, 14-17 (1979).
MSC:
11L40
Abschätzungen von Exponentialsummen und ihre Anwendung in der Zahlentheorie. 2. völlig neu bearb. Aufl. (German) Zbl 0083.03601
Enzyklopädie Math. Wiss. Band. I, 2. Teil, Heft 13, Art. 29. Leipzig: B. G. Teubner Verlag. 123 S. (1959).
Reviewer: H. Ostmann
An improvement of Vinogradov’s mean value theorem and some applications. (Chinese. English summary) Zbl 0147.30302
MSC:
11L07
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