Edit Profile (opens in new tab) Heim, Bernhard Ernst Compute Distance To: Compute Author ID: heim.bernhard-ernst Published as: Heim, Bernhard; Heim, Bernhard E.; Heim, Bernhard Ernst; Heim, B. E.; Heim, B. External Links: MGP · GND Documents Indexed: 58 Publications since 1996, including 1 Book 2 Contributions as Editor Reviewing Activity: 7 Reviews Co-Authors: 18 Co-Authors with 43 Joint Publications 559 Co-Co-Authors all top 5 Co-Authors 17 single-authored 22 Neuhauser, Markus 9 Murase, Atsushi 3 Böcherer, Siegfried 3 Dummigan, Neil 3 Rupp, Florian H.-H. 2 Krieg, Aloys 2 Luca, Florian 2 Tröger, Robert 1 Al-Baali, Mehiddin 1 Bringmann, Kathrin 1 Gallenkämper, Jonas 1 Garrett, Paul Brittingham 1 Ibukiyama, Tomoyoshi 1 Kaiser, Christian 1 Ramakrishnan, Balakrishnan 1 Rendina, Angelo 1 Sahu, Brundaban 1 Weiße, Alexander all top 5 Serials 6 Research in Number Theory 5 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 4 Journal of Number Theory 4 International Journal of Mathematics 3 IMRN. International Mathematics Research Notices 3 The Ramanujan Journal 3 International Journal of Number Theory 2 Manuscripta Mathematica 2 Mathematische Zeitschrift 2 Kyoto Journal of Mathematics 2 Springer Proceedings in Mathematics & Statistics 1 Mathematics of Computation 1 Archiv der Mathematik 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Approximation Theory 1 Journal of Mathematics of Kyoto University 1 Nagoya Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Experimental Mathematics 1 Journal of Difference Equations and Applications 1 Annals of Combinatorics 1 Journal of Integer Sequences 1 Integers 1 Research in the Mathematical Sciences all top 5 Fields 59 Number theory (11-XX) 15 Combinatorics (05-XX) 5 Real functions (26-XX) 3 Functions of a complex variable (30-XX) 2 General and overarching topics; collections (00-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 41 Publications have been cited 153 times in 77 Documents Cited by ▼ Year ▼ Pullbacks of Eisenstein series, Hecke-Jacobi theory and automorphic \(L\)-functions. Zbl 1001.11019Heim, Bernhard E. 13 1999 On the spezialschar of Maass. Zbl 1218.11046Heim, Bernhard 12 2010 A characterization of holomorphic Borcherds lifts by symmetries. Zbl 1388.11022Heim, Bernhard; Murase, Atsushi 9 2015 Fourier coefficients of powers of the Dedekind eta function. Zbl 1460.11049Heim, Bernhard; Neuhauser, Markus; Rupp, Florian 8 2019 On conjectures regarding the Nekrasov-Okounkov hook length formula. Zbl 1447.05029Heim, Bernhard; Neuhauser, Markus 7 2019 Records on the vanishing of Fourier coefficients of powers of the Dedekind eta function. Zbl 1453.11055Heim, Bernhard; Neuhauser, Markus; Weisse, Alexander 6 2018 \(L\)-functions on \(GSp_2\times Gl_2\) of mixed weights. Zbl 0967.11017Böcherer, S.; Heim, B. 6 2000 Recurrence relations for polynomials obtained by arithmetic functions. Zbl 1435.11055Heim, Bernhard; Luca, Florian; Neuhauser, Markus 6 2019 Critical values of \(L\)-functions on \(\text{GSp}_2 \times \text{GL}_2\). Zbl 1197.11059Böcherer, Siegfried; Heim, Bernhard E. 6 2006 The Dedekind eta function and D’Arcais-type polynomials. Zbl 1472.11122Heim, Bernhard; Neuhauser, Markus 6 2020 On cyclotomic factors of polynomials related to modular forms. Zbl 1450.11041Heim, Bernhard; Luca, Florian; Neuhauser, Markus 5 2019 Log-concavity of recursively defined polynomials. Zbl 1454.11055Heim, Bernhard; Neuhauser, Markus 5 2019 Zeros of recursively defined polynomials. Zbl 1456.30010Heim, Bernhard; Neuhauser, Markus; Tröger, Robert 5 2020 Miyawaki’s \(F_{12}\) spinor \(L\)-function conjecture. Zbl 1276.11070Heim, Bernhard 4 2012 Analytic Jacobi Eisenstein series and the Shimura method. Zbl 1065.11029Heim, Bernhard E. 4 2003 Polynomials related to powers of the Dedekind eta function. Zbl 1440.11057Heim, Bernhard; Neuhauser, Markus 4 2018 A characterization of the Maass space on \(\mathrm{O}(2,m+2)\) by symmetries. Zbl 1277.11048Heim, Bernhard; Murase, Atsushi 4 2012 On the reciprocal of Klein’s absolute \(j\)-invariant and sign changes. Zbl 1467.11045Heim, Bernhard; Neuhauser, Markus 4 2020 Pullbacks of Eisenstein series, Hecke-Jacobi theory and automorphic \(L\)-functions. (Pullbacks von Eisensteinreihen, Hecke-Jacobi Theorie und automorphe \(L\)-Funktionen.) Zbl 0997.11507Heim, Bernhard Ernst 3 1996 Distribution theorems for Saito-Kurokawa lifts. Zbl 1304.11031Heim, Bernhard 3 2011 Variants of an partition inequality of Bessenrodt-Ono. Zbl 1427.05023Heim, Bernhard; Neuhauser, Markus 3 2019 Separators of Siegel modular forms of degree two. Zbl 1204.11084Heim, Bernhard 3 2008 On Poincaré series and restriction mappings. (Über Poincaré Reihen und Restriktionsabbildungen.) Zbl 0953.11016Heim, B. E. 2 1998 Congruences for the Ramanujan function and generalized class numbers. Zbl 1233.11045Heim, Bernhard 2 2009 Ramanujan type congruences and Jacobi forms. Zbl 1128.11025Bringmann, Kathrin; Heim, Bernhard 2 2007 The Maaß space and Hecke operators. Zbl 1417.11066Gallenkämper, Jonas; Heim, Bernhard; Krieg, Aloys 2 2016 Horizontal and vertical log-concavity. Zbl 1471.11109Heim, Bernhard; Neuhauser, Markus 2 2021 Polynomization of the Bessenrodt-Ono inequality. Zbl 1460.05016Heim, Bernhard; Neuhauser, Markus; Tröger, Robert 2 2020 Polynomials and reciprocals of Eisenstein series. Zbl 1468.11104Heim, Bernhard; Neuhauser, Markus 2 2021 On the growth and zeros of polynomials attached to arithmetic functions. Zbl 1483.11083Heim, Bernhard; Neuhauser, Markus 2 2021 Hecke duality of Ikeda lifts. Zbl 1309.22015Garrett, Paul; Heim, Bernhard 1 2015 \(L\)-functions for Jacobi forms and the basis problem. Zbl 1012.11038Heim, Bernhard E. 1 2001 Borcherds lifts on \(\mathrm{Sp}_2(\mathbb Z)\). Zbl 1270.11051Heim, Bernhard; Murase, Atsushi 1 2012 Kurokawa-Mizumoto congruences and degree-8 \(L\)-values. Zbl 1472.11130Dummigan, Neil; Heim, Bernhard; Rendina, Angelo 1 2019 Modular curves and symmetries of Hecke type. Zbl 1439.11141Heim, Bernhard; Kaiser, Christian; Murase, Atsushi 1 2018 Triple product \(L\)-values and dihedral congruences for cusp forms. Zbl 1198.11050Dummigan, Neil; Heim, Bernhard 1 2010 On the modularity of the \(\text{GL}_2\)-twisted spinor \(L\)-function. Zbl 1223.11062Heim, Bernhard 1 2010 Symmetric square \(L\)-values and dihedral congruences for cusp forms. Zbl 1213.11109Dummigan, Neil; Heim, Bernhard 1 2010 A new type of functional equations of Euler products. Zbl 1359.11033Heim, Bernhard 1 2016 Extension of results of Kostant and Han. Zbl 1442.05018Heim, Bernhard; Neuhauser, Markus 1 2020 Polynomization of the Chern-Fu-Tang conjecture. Zbl 1461.05012Heim, Bernhard; Neuhauser, Markus 1 2021 Horizontal and vertical log-concavity. Zbl 1471.11109Heim, Bernhard; Neuhauser, Markus 2 2021 Polynomials and reciprocals of Eisenstein series. Zbl 1468.11104Heim, Bernhard; Neuhauser, Markus 2 2021 On the growth and zeros of polynomials attached to arithmetic functions. Zbl 1483.11083Heim, Bernhard; Neuhauser, Markus 2 2021 Polynomization of the Chern-Fu-Tang conjecture. Zbl 1461.05012Heim, Bernhard; Neuhauser, Markus 1 2021 The Dedekind eta function and D’Arcais-type polynomials. Zbl 1472.11122Heim, Bernhard; Neuhauser, Markus 6 2020 Zeros of recursively defined polynomials. Zbl 1456.30010Heim, Bernhard; Neuhauser, Markus; Tröger, Robert 5 2020 On the reciprocal of Klein’s absolute \(j\)-invariant and sign changes. Zbl 1467.11045Heim, Bernhard; Neuhauser, Markus 4 2020 Polynomization of the Bessenrodt-Ono inequality. Zbl 1460.05016Heim, Bernhard; Neuhauser, Markus; Tröger, Robert 2 2020 Extension of results of Kostant and Han. Zbl 1442.05018Heim, Bernhard; Neuhauser, Markus 1 2020 Fourier coefficients of powers of the Dedekind eta function. Zbl 1460.11049Heim, Bernhard; Neuhauser, Markus; Rupp, Florian 8 2019 On conjectures regarding the Nekrasov-Okounkov hook length formula. Zbl 1447.05029Heim, Bernhard; Neuhauser, Markus 7 2019 Recurrence relations for polynomials obtained by arithmetic functions. Zbl 1435.11055Heim, Bernhard; Luca, Florian; Neuhauser, Markus 6 2019 On cyclotomic factors of polynomials related to modular forms. Zbl 1450.11041Heim, Bernhard; Luca, Florian; Neuhauser, Markus 5 2019 Log-concavity of recursively defined polynomials. Zbl 1454.11055Heim, Bernhard; Neuhauser, Markus 5 2019 Variants of an partition inequality of Bessenrodt-Ono. Zbl 1427.05023Heim, Bernhard; Neuhauser, Markus 3 2019 Kurokawa-Mizumoto congruences and degree-8 \(L\)-values. Zbl 1472.11130Dummigan, Neil; Heim, Bernhard; Rendina, Angelo 1 2019 Records on the vanishing of Fourier coefficients of powers of the Dedekind eta function. Zbl 1453.11055Heim, Bernhard; Neuhauser, Markus; Weisse, Alexander 6 2018 Polynomials related to powers of the Dedekind eta function. Zbl 1440.11057Heim, Bernhard; Neuhauser, Markus 4 2018 Modular curves and symmetries of Hecke type. Zbl 1439.11141Heim, Bernhard; Kaiser, Christian; Murase, Atsushi 1 2018 The Maaß space and Hecke operators. Zbl 1417.11066Gallenkämper, Jonas; Heim, Bernhard; Krieg, Aloys 2 2016 A new type of functional equations of Euler products. Zbl 1359.11033Heim, Bernhard 1 2016 A characterization of holomorphic Borcherds lifts by symmetries. Zbl 1388.11022Heim, Bernhard; Murase, Atsushi 9 2015 Hecke duality of Ikeda lifts. Zbl 1309.22015Garrett, Paul; Heim, Bernhard 1 2015 Miyawaki’s \(F_{12}\) spinor \(L\)-function conjecture. Zbl 1276.11070Heim, Bernhard 4 2012 A characterization of the Maass space on \(\mathrm{O}(2,m+2)\) by symmetries. Zbl 1277.11048Heim, Bernhard; Murase, Atsushi 4 2012 Borcherds lifts on \(\mathrm{Sp}_2(\mathbb Z)\). Zbl 1270.11051Heim, Bernhard; Murase, Atsushi 1 2012 Distribution theorems for Saito-Kurokawa lifts. Zbl 1304.11031Heim, Bernhard 3 2011 On the spezialschar of Maass. Zbl 1218.11046Heim, Bernhard 12 2010 Triple product \(L\)-values and dihedral congruences for cusp forms. Zbl 1198.11050Dummigan, Neil; Heim, Bernhard 1 2010 On the modularity of the \(\text{GL}_2\)-twisted spinor \(L\)-function. Zbl 1223.11062Heim, Bernhard 1 2010 Symmetric square \(L\)-values and dihedral congruences for cusp forms. Zbl 1213.11109Dummigan, Neil; Heim, Bernhard 1 2010 Congruences for the Ramanujan function and generalized class numbers. Zbl 1233.11045Heim, Bernhard 2 2009 Separators of Siegel modular forms of degree two. Zbl 1204.11084Heim, Bernhard 3 2008 Ramanujan type congruences and Jacobi forms. Zbl 1128.11025Bringmann, Kathrin; Heim, Bernhard 2 2007 Critical values of \(L\)-functions on \(\text{GSp}_2 \times \text{GL}_2\). Zbl 1197.11059Böcherer, Siegfried; Heim, Bernhard E. 6 2006 Analytic Jacobi Eisenstein series and the Shimura method. Zbl 1065.11029Heim, Bernhard E. 4 2003 \(L\)-functions for Jacobi forms and the basis problem. Zbl 1012.11038Heim, Bernhard E. 1 2001 \(L\)-functions on \(GSp_2\times Gl_2\) of mixed weights. Zbl 0967.11017Böcherer, S.; Heim, B. 6 2000 Pullbacks of Eisenstein series, Hecke-Jacobi theory and automorphic \(L\)-functions. Zbl 1001.11019Heim, Bernhard E. 13 1999 On Poincaré series and restriction mappings. (Über Poincaré Reihen und Restriktionsabbildungen.) Zbl 0953.11016Heim, B. E. 2 1998 Pullbacks of Eisenstein series, Hecke-Jacobi theory and automorphic \(L\)-functions. (Pullbacks von Eisensteinreihen, Hecke-Jacobi Theorie und automorphe \(L\)-Funktionen.) Zbl 0997.11507Heim, Bernhard Ernst 3 1996 all cited Publications top 5 cited Publications all top 5 Cited by 64 Authors 36 Heim, Bernhard Ernst 19 Neuhauser, Markus 6 Pitale, Ameya 5 Murase, Atsushi 5 Schmidt, Ralf 4 Dummigan, Neil 4 Saha, Abhishek 3 Brown, Jim L. 3 Mizumoto, Shin-ichiro 3 Panchishkin, Alexei A. 3 Poor, Cris 3 Yuen, David S. 2 Atobe, Hiraku 2 Bergström, Jonas 2 Böcherer, Siegfried 2 Bouganis, Thanasis 2 Farmer, David W. 2 Ibukiyama, Tomoyoshi 2 Katsurada, Hidenori 2 Krieg, Aloys 2 Lanphier, Dominic 2 Luca, Florian 2 Marzec, Jolanta 2 Rolen, Larry 2 Tröger, Robert 1 Amersi, Nadine 1 Benoumhani, Moussa 1 Beyerl, Jeffrey J. 1 Bringmann, Kathrin 1 Bruinier, Jan Hendrik 1 Dunkum, Molly W. 1 Gallenkämper, Jonas 1 Garrett, Paul Brittingham 1 Gritsenko, Valeriĭ Alekseevich 1 Guo, Jiawei 1 Hayashida, Shuichi 1 Hong, Letong 1 Ichino, Atsushi 1 Kaiser, Christian 1 Kane, Ben 1 Kikuta, Toshiyuki 1 King, Oliver Davis 1 Kohama, Hayato 1 Koutsoliotas, Sally 1 Martin, Yves-Loïc 1 Mégarbané, Thomas 1 Mizuno, Yoshinori 1 Nagaoka, Shoyu 1 Proffer, Allison 1 Rendina, Angelo 1 Rupp, Florian H.-H. 1 Ryan, Nathan C. 1 Schwagenscheidt, Markus 1 Shukla, Alok Kumar 1 Shurman, Jerry 1 Tripp, Zack 1 Walsh, Adam 1 Warnaar, S. Ole 1 Weiße, Alexander 1 Wernz, Annalena 1 Yamana, Shunsuke 1 Yang, Yifan 1 Zhang, Shengtong 1 Zouareg, Yahia all top 5 Cited in 34 Serials 9 Journal of Number Theory 8 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 8 The Ramanujan Journal 6 Research in Number Theory 4 International Journal of Mathematics 4 International Journal of Number Theory 3 Mathematics of Computation 3 Mathematische Annalen 2 Rocky Mountain Journal of Mathematics 2 Manuscripta Mathematica 2 Mathematische Zeitschrift 2 Journal of Mathematical Sciences (New York) 2 Kyoto Journal of Mathematics 1 Israel Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Archiv der Mathematik 1 Compositio Mathematica 1 Inventiones Mathematicae 1 Journal of Approximation Theory 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Results in Mathematics 1 Experimental Mathematics 1 Journal de Théorie des Nombres de Bordeaux 1 Journal of Difference Equations and Applications 1 Documenta Mathematica 1 Séminaire Lotharingien de Combinatoire 1 Annals of Combinatorics 1 Journal of Integer Sequences 1 Integers 1 Research in the Mathematical Sciences 1 Transactions of the American Mathematical Society. Series B all top 5 Cited in 11 Fields 75 Number theory (11-XX) 17 Combinatorics (05-XX) 4 Real functions (26-XX) 3 Topological groups, Lie groups (22-XX) 3 Functions of a complex variable (30-XX) 2 Algebraic geometry (14-XX) 2 Group theory and generalizations (20-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) Citations by Year