M. Z. Garaev

870 total citations
48 papers, 475 citations indexed

About

M. Z. Garaev is a scholar working on Algebra and Number Theory, Discrete Mathematics and Combinatorics and Geometry and Topology. According to data from OpenAlex, M. Z. Garaev has authored 48 papers receiving a total of 475 indexed citations (citations by other indexed papers that have themselves been cited), including 38 papers in Algebra and Number Theory, 19 papers in Discrete Mathematics and Combinatorics and 11 papers in Geometry and Topology. Recurrent topics in M. Z. Garaev's work include Analytic Number Theory Research (36 papers), Limits and Structures in Graph Theory (14 papers) and Finite Group Theory Research (13 papers). M. Z. Garaev is often cited by papers focused on Analytic Number Theory Research (36 papers), Limits and Structures in Graph Theory (14 papers) and Finite Group Theory Research (13 papers). M. Z. Garaev collaborates with scholars based in Mexico, Russia and Taiwan. M. Z. Garaev's co-authors include Jean Bourgain, A. A. Karatsuba, Igor E. Shparlinski, Javier Cilleruelo, Anatolij A. Karatsuba, Florian Luca, C. Y. Yıldırım, Moubariz Z. Garaev, Arne Winterhof and William D. Banks and has published in prestigious journals such as IEEE Transactions on Information Theory, Transactions of the American Mathematical Society and Proceedings of the American Mathematical Society.

In The Last Decade

M. Z. Garaev

45 papers receiving 402 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
M. Z. Garaev Mexico 13 323 269 156 144 84 48 475
Todd Cochrane United States 13 386 1.2× 163 0.6× 161 1.0× 160 1.1× 124 1.5× 59 490
William D. Banks United States 14 413 1.3× 196 0.7× 147 0.9× 195 1.4× 181 2.2× 90 531
Olivier Ramaré France 11 346 1.1× 161 0.6× 65 0.4× 171 1.2× 84 1.0× 55 404
Antal Balog Hungary 13 298 0.9× 284 1.1× 64 0.4× 158 1.1× 85 1.0× 54 464
Glyn Harman United Kingdom 13 508 1.6× 183 0.7× 80 0.5× 309 2.1× 237 2.8× 67 602
Moubariz Z. Garaev Mexico 11 191 0.6× 140 0.5× 88 0.6× 78 0.5× 35 0.4× 26 252
Jean-Louis Nicolas France 12 303 0.9× 172 0.6× 69 0.4× 125 0.9× 90 1.1× 50 411
Étienne Fouvry France 21 909 2.8× 407 1.5× 217 1.4× 481 3.3× 346 4.1× 68 1.0k
Grigori Kolesnik United States 9 378 1.2× 158 0.6× 50 0.3× 163 1.1× 141 1.7× 21 468
Paul Pollack United States 9 239 0.7× 75 0.3× 61 0.4× 154 1.1× 47 0.6× 93 286

Countries citing papers authored by M. Z. Garaev

Since Specialization
Citations

This map shows the geographic impact of M. Z. Garaev's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by M. Z. Garaev with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites M. Z. Garaev more than expected).

Fields of papers citing papers by M. Z. Garaev

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by M. Z. Garaev. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by M. Z. Garaev. The network helps show where M. Z. Garaev may publish in the future.

Co-authorship network of co-authors of M. Z. Garaev

This figure shows the co-authorship network connecting the top 25 collaborators of M. Z. Garaev. A scholar is included among the top collaborators of M. Z. Garaev based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with M. Z. Garaev. M. Z. Garaev is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Garaev, M. Z.. (2018). Double exponential sums and congruences with intervals and exponential functions modulo a prime. Journal of Number Theory. 199. 377–388. 1 indexed citations
2.
Cilleruelo, Javier & M. Z. Garaev. (2016). Congruences involving product of intervals and sets with small multiplicative doubling modulo a prime and applications. Mathematical Proceedings of the Cambridge Philosophical Society. 160(3). 477–494. 10 indexed citations
3.
Cilleruelo, Javier & M. Z. Garaev. (2014). Congruences involving product of intervals and sets with small multiplicative doubling modulo a prime. arXiv (Cornell University). 4 indexed citations
4.
Garaev, M. Z. & Sergeĭ Konyagin. (2014). Multiplicative decomposition of arithmetic progressions in prime fields. Journal of Number Theory. 145. 540–553. 1 indexed citations
5.
Garaev, M. Z.. (2010). Estimation of Kloosterman sums with primes and its application. Mathematical Notes. 88(3-4). 330–337. 15 indexed citations
6.
Garaev, M. Z., et al.. (2009). The Waring Problem with the Ramanujan τ -Function, II. Canadian Mathematical Bulletin. 52(2). 195–199.
7.
Garaev, M. Z., et al.. (2008). Waring's problem with the Ramanujan $ \tau$-function. Izvestiya Mathematics. 72(1). 35–46. 1 indexed citations
8.
Heath‐Brown, D. R., William D. Banks, M. Z. Garaev, & Igor E. Shparlinski. (2008). Density of non-residues in Burgess-type intervals and applications. Oxford University Research Archive (ORA) (University of Oxford). 10 indexed citations
9.
Garaev, M. Z.. (2008). A Quantified Version of Bourgain's Sum-Product Estimate in ${\Bbb F}_p$ for Subsets of Incomparable Sizes. The Electronic Journal of Combinatorics. 15(1). 6 indexed citations
10.
Garaev, M. Z.. (2008). A NOTE ON THE LEAST TOTIENT OF A RESIDUE CLASS. The Quarterly Journal of Mathematics. 60(1). 53–56. 7 indexed citations
11.
Garaev, M. Z., et al.. (2008). The equation x1x2=x3x4+λ in fields of prime order and applications. Journal of Number Theory. 128(9). 2520–2537. 17 indexed citations
12.
Garaev, M. Z. & Anatolij A. Karatsuba. (2007). THE REPRESENTATION OF RESIDUE CLASSES BY PRODUCTS OF SMALL INTEGERS. Proceedings of the Edinburgh Mathematical Society. 50(2). 363–375. 14 indexed citations
13.
Garaev, M. Z., et al.. (2006). Exceptional set of a representation with fractional powers. Acta Mathematica Academiae Scientiarum Hungaricae. 114(1-2). 103–115. 5 indexed citations
14.
Garaev, M. Z.. (2006). Character Sums in Short Intervals and the Multiplication Table Modulo a Large Prime. Monatshefte für Mathematik. 148(2). 127–138. 19 indexed citations
15.
Garaev, M. Z. & A. Sankaranarayanan. (2006). The sum involving derivative of ζ(s) over simple zeros. Journal of Number Theory. 117(1). 122–130. 2 indexed citations
16.
Garaev, M. Z., Florian Luca, & Werner Georg Nowak. (2006). Short interval asymptotics for a class of arithmetic functions. Acta Mathematica Academiae Scientiarum Hungaricae. 113(1-2). 85–99. 2 indexed citations
17.
Garaev, M. Z. & A. A. Karatsuba. (2005). On character sums and the exceptional set of a congruence problem. Journal of Number Theory. 114(1). 182–192. 15 indexed citations
18.
Garaev, M. Z.. (2004). Upper bounds for the number of solutions of a Diophantine equation. Transactions of the American Mathematical Society. 357(6). 2527–2534. 11 indexed citations
19.
Garaev, M. Z.. (2003). On the Waring–Goldbach problem with small non-integer exponent. Acta Arithmetica. 108(3). 297–302. 15 indexed citations
20.
Garaev, M. Z.. (2000). On Lower Bounds for the L1-Norm of Exponential Sums. Mathematical Notes. 68(5-6). 713–720. 11 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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