Stephan Baier

853 total citations
44 papers, 149 citations indexed

About

Stephan Baier is a scholar working on Algebra and Number Theory, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Stephan Baier has authored 44 papers receiving a total of 149 indexed citations (citations by other indexed papers that have themselves been cited), including 37 papers in Algebra and Number Theory, 23 papers in Geometry and Topology and 15 papers in Mathematical Physics. Recurrent topics in Stephan Baier's work include Analytic Number Theory Research (37 papers), Algebraic Geometry and Number Theory (21 papers) and Advanced Algebra and Geometry (10 papers). Stephan Baier is often cited by papers focused on Analytic Number Theory Research (37 papers), Algebraic Geometry and Number Theory (21 papers) and Advanced Algebra and Geometry (10 papers). Stephan Baier collaborates with scholars based in Germany, India and Canada. Stephan Baier's co-authors include Liangyi Zhao, Matthew P. Young, T. D. Browning, Yunpu Ma, Volker Tresp and Marcel Hildebrandt and has published in prestigious journals such as Transactions of the American Mathematical Society, Advances in Mathematics and Mathematische Annalen.

In The Last Decade

Stephan Baier

33 papers receiving 143 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Stephan Baier Germany	7	129	68	61	56	24	44	149
Alessandro Languasco Italy	8	177 1.4×	67 1.0×	86 1.4×	68 1.2×	22 0.9×	46	196
C. Y. Yıldırım Türkiye	8	195 1.5×	110 1.6×	110 1.8×	28 0.5×	31 1.3×	22	214
Árpád Tóth Hungary	10	143 1.1×	93 1.4×	28 0.5×	137 2.4×	11 0.5×	24	217
Kaisa Matomäki Finland	9	218 1.7×	102 1.5×	103 1.7×	122 2.2×	24 1.0×	44	245
Angel Kumchev United States	10	272 2.1×	160 2.4×	127 2.1×	67 1.2×	18 0.8×	34	290
Şaban Alaca Canada	11	302 2.3×	98 1.4×	109 1.8×	105 1.9×	26 1.1×	34	351
C. Snyder United States	10	130 1.0×	146 2.1×	99 1.6×	100 1.8×	64 2.7×	26	239
Akinari Hoshi Japan	8	35 0.3×	106 1.6×	51 0.8×	64 1.1×	30 1.3×	33	142
Byeong-Kweon Oh South Korea	8	156 1.2×	98 1.4×	59 1.0×	73 1.3×	64 2.7×	51	206
Arul Shankar Canada	7	81 0.6×	97 1.4×	39 0.6×	63 1.1×	28 1.2×	16	128

Countries citing papers authored by Stephan Baier

Since Specialization

Citations

This map shows the geographic impact of Stephan Baier'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 Stephan Baier with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Stephan Baier more than expected).

Fields of papers citing papers by Stephan Baier

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Stephan Baier. 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 Stephan Baier. The network helps show where Stephan Baier may publish in the future.

Co-authorship network of co-authors of Stephan Baier

This figure shows the co-authorship network connecting the top 25 collaborators of Stephan Baier. A scholar is included among the top collaborators of Stephan Baier 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 Stephan Baier. Stephan Baier is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

1.

Baier, Stephan, et al.. (2025). Small solutions of generic ternary quadratic congruences to general moduli. Finite Fields and Their Applications. 103. 102571–102571.

2.

Baier, Stephan, et al.. (2025). Multiple exponential sums and their applications to quadratic congruences. Mathematische Nachrichten. 298(11). 3599–3612.

3.

Baier, Stephan, et al.. (2023). Diophantine approximation with prime denominator in real quadratic function fields. Finite Fields and Their Applications. 91. 102242–102242.

4.

Baier, Stephan, et al.. (2021). On the distribution of α p modulo one in imaginary quadratic number fields with class number one. Journal de Théorie des Nombres de Bordeaux. 32(3). 719–760. 4 indexed citations

5.

Baier, Stephan, et al.. (2020). Restricted Diophantine Approximation in Real Quadratic Number Fields. arXiv (Cornell University). 2 indexed citations

6.

Ma, Yunpu, Marcel Hildebrandt, Volker Tresp, & Stephan Baier. (2018). Holistic Representations for Memorization and Inference. Uncertainty in Artificial Intelligence. 403–413. 8 indexed citations

7.

Baier, Stephan. (2018). The large sieve with square norm moduli in ℤ [ i ] . Journal de Théorie des Nombres de Bordeaux. 30(1). 93–115. 1 indexed citations

8.

Baier, Stephan, et al.. (2017). Attention-based Information Fusion using Multi-Encoder-Decoder Recurrent Neural Networks.. The European Symposium on Artificial Neural Networks. 2 indexed citations

9.

Baier, Stephan. (2017). Diophantine approximation on lines in $$\mathbb {C}^2$$ C 2 with Gaussian prime constraints. European Journal of Mathematics. 3(3). 614–649.

10.

Baier, Stephan. (2013). MULTIPLICATIVE INVERSES IN SHORT INTERVALS. International Journal of Number Theory. 9(4). 877–884. 2 indexed citations

11.

Baier, Stephan & Matthew P. Young. (2010). Mean values with cubic characters. Journal of Number Theory. 130(4). 879–903. 25 indexed citations

12.

Baier, Stephan & Liangyi Zhao. (2008). The Sato-Tate conjecture on average for small angles. Transactions of the American Mathematical Society. 361(4). 1811–1832. 8 indexed citations

13.

Baier, Stephan & Liangyi Zhao. (2008). On the low-lying zeros of Hasse–Weil L-functions for elliptic curves. Advances in Mathematics. 219(3). 952–985. 8 indexed citations

14.

Baier, Stephan & Liangyi Zhao. (2007). An improvement for the large sieve for square moduli. Journal of Number Theory. 128(1). 154–174. 17 indexed citations

15.

Baier, Stephan. (2006). The large sieve with quadratic amplitude. Functiones et Approximatio Commentarii Mathematici. 36(none). 3 indexed citations

16.

Baier, Stephan. (2005). An extension of the Piatetski-Shapiro prime number theorem. Analysis. 25(1). 87–98. 2 indexed citations

17.

Baier, Stephan & Liangyi Zhao. (2005). LARGE SIEVE INEQUALITY WITH CHARACTERS FOR POWERFUL MODULI. International Journal of Number Theory. 1(2). 265–279. 7 indexed citations

18.

Baier, Stephan. (2002). On the Bateman–Horn Conjecture. Journal of Number Theory. 96(2). 432–448. 1 indexed citations

19.

Baier, Stephan, et al.. (1995). BURR-BROWN SPICE BASED MACROMODELS, REV. F.

20.

Baier, Stephan. (1988). Das Todesurteil des Kriegsgerichtsrats Dr. Schwinge. KJ / Kritische Justiz. 21(3). 340–346. 1 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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