Karl Dilcher

1.6k total citations
99 papers, 884 citations indexed

About

Karl Dilcher is a scholar working on Algebra and Number Theory, Discrete Mathematics and Combinatorics and Applied Mathematics. According to data from OpenAlex, Karl Dilcher has authored 99 papers receiving a total of 884 indexed citations (citations by other indexed papers that have themselves been cited), including 71 papers in Algebra and Number Theory, 38 papers in Discrete Mathematics and Combinatorics and 32 papers in Applied Mathematics. Recurrent topics in Karl Dilcher's work include Advanced Mathematical Identities (59 papers), Analytic Number Theory Research (37 papers) and Advanced Combinatorial Mathematics (36 papers). Karl Dilcher is often cited by papers focused on Advanced Mathematical Identities (59 papers), Analytic Number Theory Research (37 papers) and Advanced Combinatorial Mathematics (36 papers). Karl Dilcher collaborates with scholars based in Canada, United States and Japan. Karl Dilcher's co-authors include Takashi Agoh, Kenneth B. Stolarsky, Richard E. Crandall, Carl Pomerance, Jason I. Brown, Richard J. Nowakowski, Jonathan M. Borwein, Peter Borwein, Marc Chamberland and James Nulton and has published in prestigious journals such as Mathematics of Computation, Journal of Mathematical Analysis and Applications and Transactions of the American Mathematical Society.

In The Last Decade

Karl Dilcher

84 papers receiving 776 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Karl Dilcher Canada	16	634	374	281	187	144	99	884
Peter Paule Austria	17	494 0.8×	371 1.0×	173 0.6×	160 0.9×	271 1.9×	53	826
Stephen C. Milne United States	22	804 1.3×	565 1.5×	415 1.5×	328 1.8×	183 1.3×	50	1.2k
Wadim Zudilin Australia	19	1.1k 1.7×	431 1.2×	470 1.7×	256 1.4×	108 0.8×	132	1.4k
Alexandru Zaharescu United States	18	939 1.5×	258 0.7×	290 1.0×	508 2.7×	140 1.0×	269	1.4k
A. A. Karatsuba Russia	16	825 1.3×	243 0.6×	314 1.1×	308 1.6×	47 0.3×	84	1.1k
T. N. Shorey India	15	669 1.1×	204 0.5×	104 0.4×	572 3.1×	175 1.2×	101	1.0k
Roland Girgensohn Germany	10	377 0.6×	240 0.6×	149 0.5×	73 0.4×	84 0.6×	27	641
Jiang Zeng France	18	803 1.3×	852 2.3×	304 1.1×	192 1.0×	97 0.7×	120	1.1k
Peter Shiu United Kingdom	9	432 0.7×	161 0.4×	97 0.3×	379 2.0×	128 0.9×	46	731
Chris Smyth United Kingdom	17	260 0.4×	161 0.4×	130 0.5×	380 2.0×	266 1.8×	59	751

Countries citing papers authored by Karl Dilcher

Since Specialization

Citations

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

Fields of papers citing papers by Karl Dilcher

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Karl Dilcher

This figure shows the co-authorship network connecting the top 25 collaborators of Karl Dilcher. A scholar is included among the top collaborators of Karl Dilcher 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 Karl Dilcher. Karl Dilcher 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

Dilcher, Karl, et al.. (2021). Hankel determinants of sequences related to Bernoulli and Euler polynomials. International Journal of Number Theory. 18(2). 331–359. 1 indexed citations

Dilcher, Karl. (2021). Analytic Continuations of Character and Alternating Tornheim Zeta Functions. American Mathematical Monthly. 128(9). 780–795. 2 indexed citations

Dilcher, Karl, et al.. (2020). Orthogonal polynomials and Hankel determinants for certain Bernoulli and Euler polynomials. Journal of Mathematical Analysis and Applications. 497(1). 124855–124855. 4 indexed citations

Dilcher, Karl, et al.. (2019). Polynomial Analogues of Restricted b-ary Partition Functions.. 22. 1 indexed citations

Dilcher, Karl, et al.. (2018). Polynomials Characterizing Hyper b-ary Representations.. 21. 1 indexed citations

Dilcher, Karl, et al.. (2015). The Polynomials of Mahler and Roots of Unity. American Mathematical Monthly. 122(4). 338–353.

Dilcher, Karl, et al.. (2014). Reducibility and irreducibility of Stern $(0,1)$-polynomials. Czech digital mathematics library. 22(1). 77–102. 3 indexed citations

Agoh, Takashi & Karl Dilcher. (2014). Higher-order convolutions for Bernoulli and Euler polynomials. Journal of Mathematical Analysis and Applications. 419(2). 1235–1247. 10 indexed citations

Dilcher, Karl. (2007). Congruences for a class of alternating lacunary sums of binomial coefficients. Journal of integer sequences. 10(10). 101. 1 indexed citations

10.

Agoh, Takashi & Karl Dilcher. (2006). Convolution identities and lacunary recurrences for Bernoulli numbers. Journal of Number Theory. 124(1). 105–122. 61 indexed citations

11.

Dilcher, Karl, et al.. (2002). Arithmetic Properties of Bernoulli–Padé Numbers and Polynomials. Journal of Number Theory. 92(2). 330–347. 5 indexed citations

12.

Dilcher, Karl, et al.. (2001). Briefe an die Herausgeber. Mitteilungen der Deutschen Mathematiker-Vereinigung. 9(2). 6–7.

13.

Agoh, Takashi, et al.. (1997). Fermat Quotients for Composite Moduli. Journal of Number Theory. 66(1). 29–50. 32 indexed citations

14.

Dilcher, Karl. (1996). Sums of Products of Bernoulli Numbers. Journal of Number Theory. 60(1). 23–41. 90 indexed citations

15.

Dilcher, Karl, James Nulton, & Kenneth B. Stolarsky. (1992). The zeros of a certain family of trinomials. Glasgow Mathematical Journal. 34(1). 55–74. 14 indexed citations

16.

Dilcher, Karl. (1992). Generalized Euler constants for arithmetical progressions. Mathematics of Computation. 59(199). 259–282. 21 indexed citations

17.

Dilcher, Karl. (1992). Generalized Euler Constants for Arithmetical Progressions. Mathematics of Computation. 59(199). 259–259. 7 indexed citations

18.

Dilcher, Karl, et al.. (1991). Bernoulli numbers bibliography (1713-1990). 17 indexed citations

19.

Dilcher, Karl. (1987). Asymptotic behaviour of Bernoulli, Euler, and generalized Bernoulli polynomials. Journal of Approximation Theory. 49(4). 321–330. 17 indexed citations

20.

Dilcher, Karl. (1986). On a diophantine equation involving quadratic characters. Compositio Mathematica. 57(3). 383–403. 13 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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