Rainer Schulze‐Pillot

848 total citations
39 papers, 449 citations indexed

About

Rainer Schulze‐Pillot is a scholar working on Mathematical Physics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, Rainer Schulze‐Pillot has authored 39 papers receiving a total of 449 indexed citations (citations by other indexed papers that have themselves been cited), including 29 papers in Mathematical Physics, 22 papers in Geometry and Topology and 20 papers in Algebra and Number Theory. Recurrent topics in Rainer Schulze‐Pillot's work include Advanced Algebra and Geometry (28 papers), Algebraic Geometry and Number Theory (17 papers) and Analytic Number Theory Research (14 papers). Rainer Schulze‐Pillot is often cited by papers focused on Advanced Algebra and Geometry (28 papers), Algebraic Geometry and Number Theory (17 papers) and Analytic Number Theory Research (14 papers). Rainer Schulze‐Pillot collaborates with scholars based in Germany, United States and India. Rainer Schulze‐Pillot's co-authors include Siegfried Böcherer, William Duke, Michael Schmitt, Dipendra Prasad, Rolf Hempelmann, D. J. Lewis, Peter Sarnak, Jens Funke, Fei Xu and Hidenori Katsurada and has published in prestigious journals such as Physical Chemistry Chemical Physics, Communications in Mathematical Physics and Inventiones mathematicae.

In The Last Decade

Rainer Schulze‐Pillot

36 papers receiving 370 citations

Peers

Rainer Schulze‐Pillot

ANT

DMC

Holger P. Petersson Germany

H.-E. Richert Germany

Yuk-Kam Lau Hong Kong

Damien Gaboriau France

K. Ramachandra India

Jürgen Ritter Canada

Spencer E. Dickson United States

Hideya Matsumoto France

Gerald Cliff Canada

Kaisa Matomäki Finland

Holger P. Petersson Germany

Rainer Schulze‐Pillot

191 ×0.5

419 ×1.6

ANT

394 ×1.5

60 ×0.7

DMC

16 ×0.4

Citations per year, relative to Rainer Schulze‐Pillot Rainer Schulze‐Pillot (= 1×) peers Holger P. Petersson

Countries citing papers authored by Rainer Schulze‐Pillot

Since Specialization

Citations

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

Fields of papers citing papers by Rainer Schulze‐Pillot

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Rainer Schulze‐Pillot. 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 Rainer Schulze‐Pillot. The network helps show where Rainer Schulze‐Pillot may publish in the future.

Co-authorship network of co-authors of Rainer Schulze‐Pillot

This figure shows the co-authorship network connecting the top 25 collaborators of Rainer Schulze‐Pillot. A scholar is included among the top collaborators of Rainer Schulze‐Pillot 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 Rainer Schulze‐Pillot. Rainer Schulze‐Pillot 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

Böcherer, Siegfried & Rainer Schulze‐Pillot. (2023). Paramodular groups and theta series. International Journal of Number Theory. 19(10). 2555–2590.

Schulze‐Pillot, Rainer. (2015). Some congruences for Siegel theta series. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg. 85(2). 181–185. 1 indexed citations

Böcherer, Siegfried, et al.. (2012). Yoshida lifts and Selmer groups. Journal of the Mathematical Society of Japan. 64(4). 15 indexed citations

Schulze‐Pillot, Rainer. (2008). Local theta correspondence and the lifting of Duke, Imamoglu and Ikeda. Osaka Journal of Mathematics. 45(4). 965–971. 1 indexed citations

Schulze‐Pillot, Rainer. (2003). Representation by integral quadratic forms - a survey. Publications of the UdS (Saarland University). 9 indexed citations

Schulze‐Pillot, Rainer. (2000). Exceptional integers for genera of integral ternary positive definite quadratic forms. Duke Mathematical Journal. 102(2). 8 indexed citations

Böcherer, Siegfried, Jens Funke, & Rainer Schulze‐Pillot. (1999). Trace Operator and Theta Series. Journal of Number Theory. 78(1). 119–139. 8 indexed citations

Böcherer, Siegfried & Rainer Schulze‐Pillot. (1999). Squares of Automorphic Forms on Quaternion Algebras and Central Values ofL-Functions of Modular Forms. Journal of Number Theory. 76(2). 194–205. 3 indexed citations

Schulze‐Pillot, Rainer. (1998). Theta liftings : a comparison between classical and representation theoretic results (Automorphic Forms and Number Theory). Kyoto University Research Information Repository (Kyoto University). 1052. 142–153. 3 indexed citations

10.

Böcherer, Siegfried & Rainer Schulze‐Pillot. (1997). Siegel modular forms and theta series attached to quaternion algebras. II, With errata to: "Siegel modular forms and theta series attached to quaternion algebras''. Nagoya Mathematical Journal. 147. 71–106. 8 indexed citations

11.

Böcherer, Siegfried & Rainer Schulze‐Pillot. (1997). Siegel modular forms and theta series attached to quaternion algebras II. Nagoya Mathematical Journal. 147. 71–106. 12 indexed citations

12.

Schulze‐Pillot, Rainer. (1995). Bessel functionals and Siegel modular forms. Journal de Théorie des Nombres de Bordeaux. 7(1). 15–20. 1 indexed citations

13.

Böcherer, Siegfried, et al.. (1994). On Whittaker coefficients of some metaplectic forms. Duke Mathematical Journal. 76(3). 3 indexed citations

14.

Schulze‐Pillot, Rainer. (1991). An algorithm for computing genera of ternary and quaternary quadratic forms. 134–143. 9 indexed citations

15.

Schulze‐Pillot, Rainer. (1989). Theta series of degree 2 of quaternary quadratic forms. Rocky Mountain Journal of Mathematics. 19(3).

16.

Schulze‐Pillot, Rainer. (1984). Thetareihen positiv definiter quadratischer Formen. Inventiones mathematicae. 75(2). 283–299. 41 indexed citations

17.

Schulze‐Pillot, Rainer. (1983). Small linearly independent zeros of quadratic forms. Monatshefte für Mathematik. 95(3). 241–249. 6 indexed citations

18.

Schulze‐Pillot, Rainer. (1982). Remark on a note of Hsia about classification of unimodular lattices. Journal of Number Theory. 14(1). 83–85.

19.

Schulze‐Pillot, Rainer. (1982). Darstellung durch definite ternäre quadratische Formen. Journal of Number Theory. 14(2). 237–250. 8 indexed citations

20.

Schulze‐Pillot, Rainer. (1980). Darstellung durch Spinorgeschlechter ternärer quadratischer formen. Journal of Number Theory. 12(4). 529–540. 25 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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