Edit Profile (opens in new tab) Berndt, Bruce Carl Compute Distance To: Compute Author ID: berndt.bruce-c Published as: Berndt, Bruce C.; Berndt, B. C.; Berndt, Bruce Homepage: https://faculty.math.illinois.edu/~berndt/ External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 262 Publications since 1967, including 18 Books 21 Contributions as Editor · 1 Further Contribution Co-Authors: 102 Co-Authors with 185 Joint Publications 1,924 Co-Co-Authors all top 5 Co-Authors 92 single-authored 30 Zaharescu, Alexandru 23 Chan, Heng Huat 19 Yee, Ae Ja 16 Evans, Ronald J. 13 Andrews, George Eyre 11 Zhang, Liangcheng 9 Sohn, Jaebum 8 Diamond, Harold George 7 Baruah, Nayandeep Deka 7 Chan, Song Heng 7 Dixit, Atul 7 Hildebrand, Adolf J. 7 Wilson, Bertram Martin 5 Rankin, Robert Alexander 4 Bennett, Michael A. 4 Boston, Nigel 4 Kang, Soon-Yi 4 Liaw, Wen-Chin 4 Ono, Ken 4 Philipp, Walter 3 Alladi, Krishnaswami 3 Biagioli, Anthony J. F. 3 Bialek, Paul R. 3 Huang, Sen-Shan 3 Huber, Tim 3 Kim, Byungchan 3 Lamphere, Robert L. 3 Purtilo, James M. 3 Son, Seung Hwan 3 Yeap, Boon Pin 3 Yesilyurt, Hamza 2 Chan, O-Yeat 2 Choi, Geumlan 2 Choi, Youn-Seo 2 Choie, YoungJu 2 Chowla, Sarvadaman 2 Fassina, Martino 2 Gesztesy, Fritz 2 Gugg, Chadwick 2 Hafner, James Lee 2 Jacobsen, Lisa 2 Joshi, Padmini T. 2 Malik, Amita 2 Paule, Peter 2 Ramanujan, Srinivasa 2 Schoenfeld, Lowell 2 Sellers, James Allen 2 Straub, Armin 2 Venkatachaliengar, K. 2 Williams, Kenneth S. 2 Xu, Ping 2 Yi, Jinhee 2 Zhou, Roberta Rui 1 Adiga, Chandrashekar 1 Agarwal, Ashok Kumar 1 Ahlgren, Scott D. 1 Alladi, Krishna 1 Almkvist, Gert 1 Askey, Richard Allen 1 Baruah, Deka Nayandeep 1 Beck, Matthias 1 Borwein, Jonathan Michael 1 Bowman, Douglas C. 1 Chan, Huat Heng 1 Chu, Wenchang 1 Cooper, Shaun 1 Dieter, Ulrich 1 Galway, William F. 1 Garvan, Frank G. 1 Goldberg, Larry A. 1 Hahn, Heekyoung 1 Halberstam, Heini 1 Hardy, Godfrey Harold 1 Hart, William B. 1 Hill, James Murray 1 Knopp, Marvin Isadore 1 Kohnen, Winfried 1 Kongsiriwong, Sarachai 1 Koukoulopoulos, Dimitris 1 Krattenthaler, Christian Friedrich 1 Lamb, George L. jun. 1 Lee, Yoonbok 1 Li, Junxian 1 Lim, Sung-Geun 1 Liu, Zhi-Guo 1 Mullen, Gary L. 1 Phaovibul, M. Tip 1 Pongsriiam, Prapanpong 1 Prasad, Dipendra 1 Pribitkin, Wladimir 1 Ramachandra, Kanakanahalli 1 Ramanathan, Kollagunta G. 1 Rebák, Örs 1 Reddi, C. A. 1 Reuter, Victoria J. 1 Rogers, Mathew D. 1 Roy, Arindam 1 Schlosser, Michael J. 1 Schultz, Daniel 1 Seshu Aiyar, P. V. ...and 6 more Co-Authors all top 5 Serials 13 The Ramanujan Journal 12 American Mathematical Monthly 12 Transactions of the American Mathematical Society 11 Acta Arithmetica 11 Proceedings of the American Mathematical Society 10 Advances in Mathematics 9 Journal für die Reine und Angewandte Mathematik 8 Journal of Number Theory 6 Glasgow Mathematical Journal 6 International Journal of Number Theory 4 Illinois Journal of Mathematics 4 Journal of the London Mathematical Society. Second Series 4 Mathematische Annalen 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Annals of Combinatorics 3 Journal of Mathematical Analysis and Applications 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Rocky Mountain Journal of Mathematics 3 Bulletin of the London Mathematical Society 3 Journal of Combinatorial Theory. Series A 3 Journal of Computational and Applied Mathematics 3 Memoirs of the American Mathematical Society 3 Bulletin of the American Mathematical Society 3 Contemporary Mathematics 3 Progress in Mathematics 3 Ramanujan Mathematical Society Lecture Notes Series 2 Mathematics Magazine 2 Canadian Mathematical Bulletin 2 Indian Journal of Mathematics 2 Journal of Approximation Theory 2 The Journal of the Indian Mathematical Society. New Series 2 Mathematische Zeitschrift 2 Pacific Journal of Mathematics 2 Hardy-Ramanujan Journal 2 Advances in Applied Mathematics 2 Journal of the Ramanujan Mathematical Society 2 IMRN. International Mathematics Research Notices 2 Aequationes Mathematicae 2 L’Enseignement Mathématique. 2e Série 2 SIAM Journal on Mathematical Analysis 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Notices of the American Mathematical Society 2 RIMS Kokyuroku 2 South East Asian Journal of Mathematics and Mathematical Sciences 2 Publications de la Faculté d’Électrotechnique de l’Université à Belgrade. Série Mathématiques et Physique 2 History of Mathematics (Providence) 2 Trends in Mathematics 1 Applicable Analysis 1 The Mathematical Intelligencer 1 Canadian Journal of Mathematics 1 Duke Mathematical Journal 1 Gaṇita 1 Journal of the Korean Mathematical Society 1 The Mathematics Student 1 Mathematika 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Results in Mathematics 1 International Journal of Mathematics 1 Elemente der Mathematik 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Indagationes Mathematicae. New Series 1 Mathematical Research Letters 1 Séminaire Lotharingien de Combinatoire 1 Acta Mathematica Sinica. English Series 1 The Quarterly Journal of Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Nordisk Matematisk Tidskrift 1 Canadian Mathematical Society Series of Monographs and Advanced Texts 1 Student Mathematical Library 1 Developments in Mathematics 1 Culture and History of Mathematics 1 1 Monographs in Number Theory 1 Mathematics Newsletter 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 244 Number theory (11-XX) 109 Special functions (33-XX) 44 History and biography (01-XX) 34 Combinatorics (05-XX) 22 Sequences, series, summability (40-XX) 20 General and overarching topics; collections (00-XX) 11 Approximations and expansions (41-XX) 8 Functions of a complex variable (30-XX) 4 Algebraic geometry (14-XX) 4 Numerical analysis (65-XX) 2 Integral transforms, operational calculus (44-XX) 1 Real functions (26-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 211 Publications have been cited 3,978 times in 2,344 Documents Cited by ▼ Year ▼ Ramanujan’s notebooks. Part III. Zbl 0733.11001Berndt, Bruce C. 512 1991 Gauss and Jacobi sums. Zbl 0906.11001Berndt, Bruce C.; Evans, Ronald J.; Williams, Kenneth S. 274 1998 Ramanujan’s notebooks. Part I. Zbl 0555.10001Berndt, Bruce C. 211 1985 Number theory in the spirit of Ramanujan. Zbl 1117.11001Berndt, Bruce C. 194 2006 Ramanujan’s lost notebook. I. Zbl 1075.11001Andrews, George E.; Berndt, Bruce C. 189 2005 Ramanujan’s notebooks. Part II. Zbl 0716.11001Berndt, Bruce C. 187 1989 Ramanujan’s notebooks. Part V. Zbl 0886.11001Berndt, Bruce C. 176 1998 Ramanujan’s notebooks. Part IV. Zbl 0785.11001Berndt, Bruce C. 158 1994 Ramanujan’s lost notebook. Part II. Zbl 1180.11001Andrews, George E.; Berndt, Bruce C. 117 2009 Ramanujan’s theories of elliptic functions to alternative bases. Zbl 0843.33012Berndt, Bruce C.; Bhargava, S.; Garvan, Frank G. 83 1995 On the Hurwitz zeta-function. Zbl 0229.10023Berndt, Bruce C. 65 1972 Ramanujan: Letters and commentary. Zbl 0842.01026Berndt, Bruce C.; Rankin, Robert A. 59 1995 Analytic Eisenstein series, theta-functions, and series relations in the spirit of Ramanujan. Zbl 0384.10011Berndt, Bruce C. 56 1978 The determination of Gauss sums. Zbl 0471.10028Berndt, Bruce C.; Evans, Ronald J. 47 1981 Chapter 16 of Ramanujan’s second notebook: Theta-functions and q-series. Zbl 0565.33002Adiga, C.; Berndt, Bruce C.; Bhargava, S.; Watson, G. N. 44 1985 Gauss, Landen, Ramanujan, the arithmetic-geometric mean, ellipses, \(\pi\) , and the Ladies Diary. Zbl 0665.26007Almkvist, Gert; Berndt, Bruce C. 41 1988 Modular transformations and generalizations of several formulae of Ramanujan. Zbl 0365.10021Berndt, Bruce C. 39 1977 Sums of Gauss, Jacobi, and Jacobsthal. Zbl 0412.10027Berndt, Bruce C.; Evans, Ronald J. 37 1979 Ramanujan’s series for \(1/\pi \): a survey. Zbl 1229.11162Baruah, Deka Nayandeep; Berndt, Bruce C.; Chan, Huat Heng 37 2009 Collected papers of Srinivasa Ramanujan. Edited by G. H. Hardy, P. V. Seshu Aiyar and B. M. Wilson. With a new preface and commentary by Bruce C. Berndt. Third printing of the 1927 original. Zbl 1110.11001Ramanujan, Srinivasa 34 2000 Character analogues of the Poisson and Euler-MacLaurin summation formulas with applications. Zbl 0316.10023Berndt, Bruce C. 34 1975 The number of zeros for \(\zeta^{(k)}(s)\). Zbl 0203.35503Berndt, Bruce C. 33 1970 Ramanujan’s lost notebook. Part III. Zbl 1248.11003Andrews, George E.; Berndt, Bruce C. 33 2012 Explicit evaluations and reciprocity theorems for finite trigonometric sums. Zbl 1011.11057Berndt, Bruce C.; Yeap, Boon Pin 32 2002 Ramanujan’s lost notebook. Part IV. Zbl 1288.11002Andrews, George E.; Berndt, Bruce C. 31 2013 The continued fractions found in the unorganized portions of Ramanujan’s notebooks. Zbl 0758.40001Andrews, George E.; Berndt, Bruce C.; Jacobsen, Lisa; Lamphere, Robert L. 30 1992 Partition identities and Ramanujan’s modular equations. Zbl 1206.11132Baruah, Nayandeep Deka; Berndt, Bruce C. 29 2007 Reciprocity theorems for Dedekind sums and generalizations. Zbl 0342.10014Berndt, Bruce C. 27 1977 Identities involving the coefficients of a class of Dirichlet series. I,II. Zbl 0175.32802Berndt, Bruce C. 21 1969 Eisenstein series and Ramanujan-type series for \(1 / \pi\). Zbl 1204.33005Baruah, Nayandeep Deka; Berndt, Bruce C. 21 2010 Finite trigonometric sums and class numbers. Zbl 1099.11039Berndt, Bruce C.; Zaharescu, Alexandru 21 2004 Analytic properties of arithmetic sums arising in the theory of the classical theta-functions. Zbl 0537.10006Berndt, Bruce C.; Goldberg, Larry A. 21 1984 Asymptotic expansions of certain partial theta functions. Zbl 1272.11057Berndt, Bruce C.; Kim, Byungchan 21 2011 Classical theorems on quadratic residues. Zbl 0337.10031Berndt, Bruce C. 21 1976 Ramanujan’s forty identities for the Rogers-Ramanujan functions. Zbl 1118.11044Berndt, Bruce C.; Choi, Geumlan; Choi, Youn-Seo; Hahn, Heekyoung; Yeap, Boon Pin; Yee, Ae Ja; Yesilyurt, Hamza; Yi, Jinhee 20 2007 Explicit evaluations of the Rogers-Ramanujan continued fraction. Zbl 0862.33017Berndt, Bruce C.; Chan, Heng Huat; Zhang, Liang-Cheng 20 1996 Generalized Dedekind eta-functions and generalized Dedekind sums. Zbl 0262.10015Berndt, Bruce C. 19 1973 Periodic analogues of the Euler-Maclaurin and Poisson summation formulas with applications to number theory. Zbl 0268.10008Berndt, Bruce C.; Schoenfeld, Lowell 19 1974 Some values for the Rogers-Ramanujan continued fraction. Zbl 0838.33011Berndt, Bruce C.; Chan, Heng Huat 19 1995 Dedekind sums and a paper of G. H. Hardy. Zbl 0319.10006Berndt, Bruce C. 18 1976 Sixth order mock theta functions. Zbl 1122.33010Berndt, Bruce C.; Chan, Song Heng 17 2007 Ramanujan’s unpublished manuscript on the partition and tau functions with proofs and commentary. Zbl 0932.11002Berndt, Bruce C.; Ono, Ken 17 1999 Generalized Eisenstein series and modified Dedekind sums. Zbl 0294.10018Berndt, Bruce C. 17 1975 Ramanujan’s series for \(1/\pi \) arising from his cubic and quartic theories of elliptic functions. Zbl 1139.11023Baruah, Nayandeep Deka; Berndt, Bruce C. 17 2008 Partition-theoretic interpretations of certain modular equations of Schröter, Russell, and Ramanujan. Zbl 1131.05008Berndt, Bruce C. 16 2007 On Ramanujan’s quartic theory of elliptic functions. Zbl 1005.33009Berndt, Bruce C.; Chan, Heng Huat; Liaw, Wen-Chin 16 2001 The Rogers-Ramanujan continued fraction. Zbl 0953.11005Berndt, Bruce C.; Chan, Heng Huat; Huang, Sen-Shan; Kang, Soon-Yi; Sohn, Jaebum; Son, Seung Hwan 16 1999 Hecke’s theory of modular forms and Dirichlet series. Zbl 1202.11030Berndt, Bruce C.; Knopp, Marvin I. 15 2008 Ramanujan’s notebooks. Zbl 0389.10002Berndt, Bruce C. 15 1978 Ramanujan’s lost notebook. Part V. Zbl 1416.11001Andrews, George E.; Berndt, Bruce C. 14 2018 Ramanujan’s lost notebook: combinatorial proofs of identities associated with Heine’s transformation or partial theta functions. Zbl 1227.05053Berndt, Bruce C.; Kim, Byungchan; Yee, Ae Ja 14 2010 Sums of Gauß, Eisenstein, Jacobi, Jacobsthal, and Brewer. Zbl 0393.12029Berndt, Bruce C.; Evans, Ronald J. 14 1979 A certain quotient of eta-functions found in Ramanujan’s lost notebook. Zbl 1054.11022Berndt, Bruce C.; Chan, Heng Huat; Kang, Soon-Yi; Zhang, Liang-Cheng 13 2002 Elementary evaluation of \(\zeta(2n)\). Zbl 0303.10038Berndt, Bruce C. 13 1975 On the Brocard-Ramanujan Diophantine equation \(n! + 1 = m^2\). Zbl 0999.11078Berndt, Bruce C.; Galway, William F. 12 2000 Some theorems on the Rogers-Ramanujan continued fraction in Ramanujan’s lost notebook. Zbl 1037.11011Berndt, Bruce C.; Huang, Sen-Shan; Sohn, Jaebum; Son, Seung Hwan 12 2000 Formulas of Ramanujan for the power series coefficients of certain quotients of Eisenstein series. Zbl 1033.11019Berndt, Bruce C.; Bialek, Paul R.; Yee, Ae Ja 12 2002 Cranks and dissections in Ramanujan’s lost notebook. Zbl 1114.11082Berndt, Bruce C.; Chan, Heng Huat; Chan, Song Heng; Liaw, Wen-Chin 12 2005 A new identity for \((q;q)_\infty^{10}\) with an application to Ramanujan’s partition congruence modulo 11. Zbl 1060.11063Berndt, Bruce C.; Chan, Song Heng; Liu, Zhi-Guo; Yesilyurt, Hamza 12 2004 The problems submitted by Ramanujan to the Journal of the Indian Mathematical Society. Zbl 1133.11300Berndt, Bruce C.; Choi, Youn-Seo; Kang, Soon-Yi 11 1999 Circle and divisor problems, and double series of Bessel functions. Zbl 1326.11059Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru 11 2013 Weighted divisor sums and Bessel function series. II. Zbl 1236.33010Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru 11 2012 On Eisenstein series with characters and the values of Dirichlet L-functions. Zbl 0279.10023Berndt, Bruce C. 11 1975 Ramanujan’s class invariants and cubic continued fraction. Zbl 0843.11007Berndt, Bruce C.; Chan, Heng Huat; Zhang, Liang-Cheng 11 1995 Partition identities arising from theta function identities. Zbl 1154.11036Baruah, Nayandeep Deka; Berndt, Bruce C. 11 2008 A reciprocity theorem for certain \(q\)-series found in Ramanujan’s lost notebook. Zbl 1123.33012Berndt, Bruce C.; Chan, Song Heng; Yeap, Boon Pin; Yee, Ae Ja 11 2007 A transformation formula involving the gamma and Riemann zeta functions in Ramanujan’s lost notebook. Zbl 1322.11086Berndt, Bruce C.; Dixit, Atul 10 2010 Ramanujan and the modular \(j\)-invariant. Zbl 0990.11022Berndt, Bruce C.; Chan, Heng Huat 10 1999 On the parity of partition functions. Zbl 1047.11098Berndt, Bruce C.; Yee, Ae Ja; Zaharescu, Alexandru 10 2003 On a secant Dirichlet series and Eichler integrals of Eisenstein series. Zbl 1402.11060Berndt, Bruce C.; Straub, Armin 10 2016 Character transformation formulae similar to those for the Dedekind eta- function. Zbl 0265.10016Berndt, Bruce C. 10 1973 Weighted divisor sums and Bessel function series. Zbl 1100.33001Berndt, Bruce C.; Zaharescu, Alexandru 10 2006 Ramanujan’s identities for Eta-functions. Zbl 0737.11008Berndt, Bruce C.; Zhang, Liang-Cheng 10 1992 Ramanujan’s remarkable product of theta-functions. Zbl 0901.33007Berndt, Bruce C.; Chan, Heng Huat; Zhang, Liang-Cheng 9 1997 On the average order of a class of arithmetical functions. II. Zbl 0219.10050Berndt, Bruce C. 9 1971 Combinatorial proofs of identities in Ramanujan’s lost notebook associated with the Rogers-Fine identity and false theta functions. Zbl 1037.05005Berndt, Bruce C.; Yee, Ae Ja 9 2003 Modular equations in Ramanujan’s Lost Notebook. Zbl 0989.11021Berndt, Bruce C. 9 2000 Sums involving the greatest integer function and Riemann-Stieltjes integration. Zbl 0487.10002Berndt, Bruce C.; Dieter, Ulrich 9 1982 Ramanujan’s class invariants, Kronecker’s limit formula, and modular equations. Zbl 0885.11058Berndt, Bruce C.; Chan, Heng Huat; Zhang, Liang-Cheng 9 1997 Chapter 12 of Ramanujan’s second notebook: Continued fractions. Zbl 0589.33002Berndt, Bruce C.; Lamphere, Robert L.; Wilson, B. M. 9 1985 Identities involving the coefficients of a class of Dirichlet series. V. Zbl 0228.10024Berndt, Bruce C. 9 1971 Two new proofs of Lerch’s functional equation. Zbl 0235.10020Berndt, Bruce C. 9 1972 Determinations of analogues of Gauss sums and other trigonometric sums. Zbl 1088.11064Beck, Matthias; Berndt, Bruce C.; Chan, O-Yeat; Zaharescu, Alexandru 9 2005 Weighted divisor sums and Bessel function series. III. Zbl 1326.11057Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru 9 2013 Eisenstein series in Ramanujan’s Lost Notebook. Zbl 1024.11026Berndt, Bruce C.; Chan, Heng Huat; Sohn, Jaebum; Son, Seung Hwan 8 2000 Identities involving the coefficients of a class of Dirichlet series. III. Zbl 0191.33003Berndt, Bruce C. 8 1969 Ramanujan’s short unpublished manuscript on integrals and series related to Euler’s constant. Zbl 0964.40004Berndt, Bruce C.; Bowman, Douglas C. 8 2000 Eisenstein series and approximations to \(\pi\). Zbl 0998.33003Berndt, Bruce C.; Chan, Heng Huat 8 2001 New pathways and connections in number theory and analysis motivated by two incorrect claims of Ramanujan. Zbl 1396.11103Berndt, Bruce C.; Dixit, Atul; Roy, Arindam; Zaharescu, Alexandru 8 2017 On the average order of a class of arithmetical functions. I. Zbl 0216.31303Berndt, Bruce C. 7 1971 Proofs of conjectures of Sandon and Zanello on colored partition identities. Zbl 1315.11092Berndt, Bruce C.; Zhou, Roberta R. 7 2014 On Ramanujan’s continued fraction for \((q^2;q^3)_{\infty}/(q;q^3)_{\infty}\). Zbl 1063.33026Andrews, George E.; Berndt, Bruce C.; Sohn, Jaebum; Yee, Ae Ja; Zaharescu, Alexandru 7 2003 Generalized Dirichlet series and Hecke’s functional equation. Zbl 0207.05503Berndt, Bruce C. 6 1967 Identities involving the coefficients of a class of Dirichlet series. IV. Zbl 0207.05504Berndt, Bruce C. 6 1970 Flowers which we connot yet see growing in Ramanujan’s garden of hypergeometric series, elliptic functions, and \(q\)’s. Zbl 1014.33012Berndt, Bruce C. 6 2001 Identities for partitions with distinct colors. Zbl 1386.11127Berndt, Bruce C.; Zhou, Roberta R. 6 2015 Weighted divisor sums and Bessel function series. IV. Zbl 1270.11098Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru 6 2012 Incomplete elliptic integrals in Ramanujan’s lost notebook. Zbl 0971.33012Berndt, Bruce C.; Chan, Heng Huat; Huang, Sen-Shan 6 2000 A page on Eisenstein series in Ramanujan’s Lost Notebook. Zbl 1090.11025Berndt, Bruce C.; Yee, Ae Ja 6 2003 Chapter 3 of Ramanujan’s second notebook. Zbl 0524.41017Berndt, Bruce C.; Evans, Ronald J.; Wilson, B. M. 6 1983 Four identities for third order mock theta functions. Zbl 1455.11136Andrews, George E.; Berndt, Bruce C.; Chan, Song Heng; Kim, Sun; Malik, Amita 5 2020 The final problem: an identity from Ramanujan’s lost notebook. Zbl 1431.33005Berndt, Bruce C.; Li, Junxian; Zaharescu, Alexandru 3 2019 Ramanujan’s lost notebook. Part V. Zbl 1416.11001Andrews, George E.; Berndt, Bruce C. 14 2018 The circle problem of Gauss and the divisor problem of Dirichlet – still unsolved. Zbl 1396.11001Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru 5 2018 Partitions into \(k\)th powers of terms in an arithmetic progression. Zbl 1412.11129Berndt, Bruce C.; Malik, Amita; Zaharescu, Alexandru 4 2018 Sums of squares and products of Bessel functions. Zbl 1451.11024Berndt, Bruce C.; Dixit, Atul; Kim, Sun; Zaharescu, Alexandru 2 2018 New pathways and connections in number theory and analysis motivated by two incorrect claims of Ramanujan. Zbl 1396.11103Berndt, Bruce C.; Dixit, Atul; Roy, Arindam; Zaharescu, Alexandru 8 2017 On a theorem of A. I. Popov on sums of squares. Zbl 1422.11077Berndt, Bruce C.; Dixit, Atul; Kim, Sun; Zaharescu, Alexandru 3 2017 The appearance of H. F. Baker and E. W. Hobson in “The man who knew infinity”. Zbl 1390.01070Berndt, Bruce C. 1 2017 On a secant Dirichlet series and Eichler integrals of Eisenstein series. Zbl 1402.11060Berndt, Bruce C.; Straub, Armin 10 2016 Integrals associated with Ramanujan and elliptic functions. Zbl 1354.33015Berndt, Bruce C. 2 2016 Ramanujan at elementary levels – glimpses. Edited and with a preface by Bruce C. Berndt, Atul Dixit, Victoria J. Reuter, Ping Xu and Boonrod Yuttanan. Zbl 1405.11003Thiruvenkatachar, V. R.; Venkatachaliengar, K. 1 2016 Identities for partitions with distinct colors. Zbl 1386.11127Berndt, Bruce C.; Zhou, Roberta R. 6 2015 Logarithmic means and double series of Bessel functions. Zbl 1390.11100Berndt, Bruce C.; Kim, Sun 4 2015 Weighted divisor sums and Bessel function series. V. Zbl 1326.33007Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru 2 2015 Certain integrals arising from Ramanujan’s notebooks. Zbl 1325.33014Berndt, Bruce C.; Straub, Armin 1 2015 Proofs of conjectures of Sandon and Zanello on colored partition identities. Zbl 1315.11092Berndt, Bruce C.; Zhou, Roberta R. 7 2014 Analogues of Koshliakov’s formula. Zbl 1308.33004Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru 1 2014 Ramanujan’s lost notebook. Part IV. Zbl 1288.11002Andrews, George E.; Berndt, Bruce C. 31 2013 Circle and divisor problems, and double series of Bessel functions. Zbl 1326.11059Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru 11 2013 Weighted divisor sums and Bessel function series. III. Zbl 1326.11057Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru 9 2013 The circle and divisor problems, and Ramanujan’s contributions through Bessel function series. Zbl 1360.11093Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru 4 2013 Dirichlet \(L-\)functions, elliptic curves, hypergeometric functions, and rational approximation with partial sums of power series. Zbl 1297.11082Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru 2 2013 Diophantine approximation with partial sums of power series. Zbl 1318.11088Berndt, Bruce C.; Kim, Sun; Phaovibul, M. Tip; Zaharescu, Alexandru 1 2013 Diophantine approximation of the exponential function and Sondow’s conjecture. Zbl 1292.11079Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru 1 2013 Ramanujan’s lost notebook. Part III. Zbl 1248.11003Andrews, George E.; Berndt, Bruce C. 33 2012 Weighted divisor sums and Bessel function series. II. Zbl 1236.33010Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru 11 2012 Weighted divisor sums and Bessel function series. IV. Zbl 1270.11098Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru 6 2012 Ramanujan’s elementary method in partition congruences. Zbl 1263.11094Berndt, Bruce C.; Gugg, Chadwick; Kim, Sun 4 2012 Two-dimensional series evaluations via the elliptic functions of Ramanujan and Jacobi. Zbl 1290.11112Berndt, Bruce C.; Lamb, George; Rogers, Mathew 4 2012 Two Dirichlet series evaluations found on page 196 of Ramanujan’s lost notebook. Zbl 1275.11116Berndt, Bruce C.; Chan, Heng Huat; Tanigawa, Yoshio 1 2012 Asymptotic expansions of certain partial theta functions. Zbl 1272.11057Berndt, Bruce C.; Kim, Byungchan 21 2011 Character analogues of theorems of Ramanujan, Koshliakov and Guinand. Zbl 1216.33012Berndt, Bruce C.; Dixit, Atul; Sohn, Jaebum 3 2011 On sums of powers in Ramanujan’s lost notebook. Zbl 1232.11025Berndt, Bruce C.; Schultz, Daniel 1 2011 The chief accountant and mathematical friend of Ramanujan – S. Narayana Aiyar. Zbl 1226.01017Berndt, Bruce C. 1 2011 Eisenstein series and Ramanujan-type series for \(1 / \pi\). Zbl 1204.33005Baruah, Nayandeep Deka; Berndt, Bruce C. 21 2010 Ramanujan’s lost notebook: combinatorial proofs of identities associated with Heine’s transformation or partial theta functions. Zbl 1227.05053Berndt, Bruce C.; Kim, Byungchan; Yee, Ae Ja 14 2010 A transformation formula involving the gamma and Riemann zeta functions in Ramanujan’s lost notebook. Zbl 1322.11086Berndt, Bruce C.; Dixit, Atul 10 2010 What is a \(q\)-series? Zbl 1245.33013Berndt, Bruce C. 2 2010 A proof of the general theta transformation formula. Zbl 1343.11048Berndt, Bruce C.; Gugg, Chadwick; Kongsiriwong, Sarachai; Thiel, Johann 1 2010 Cranks—really, the final problem. Zbl 1206.11001Berndt, Bruce C.; Chan, Heng Huat; Chan, Song Heng; Liaw, Wen-Chin 1 2010 Ramanujan’s lost notebook. Part II. Zbl 1180.11001Andrews, George E.; Berndt, Bruce C. 117 2009 Ramanujan’s series for \(1/\pi \): a survey. Zbl 1229.11162Baruah, Deka Nayandeep; Berndt, Bruce C.; Chan, Huat Heng 37 2009 Ramanujan’s Eisenstein series and new hypergeometric-like series for \(1/\pi ^{2}\). Zbl 1185.33002Baruah, Nayandeep Deka; Berndt, Bruce C. 6 2009 A reciprocity theorem for certain hypergeometric series. Zbl 1287.33001Berndt, Bruce C.; Koukoulopoulos, Dimitris 1 2009 An integral analogue of theta functions and Gauss sums in Ramanujan’s lost notebook. Zbl 1196.11113Berndt, Bruce C.; Xu, Ping 1 2009 Ramanujan’s series for \(1/\pi \) arising from his cubic and quartic theories of elliptic functions. Zbl 1139.11023Baruah, Nayandeep Deka; Berndt, Bruce C. 17 2008 Hecke’s theory of modular forms and Dirichlet series. Zbl 1202.11030Berndt, Bruce C.; Knopp, Marvin I. 15 2008 Partition identities arising from theta function identities. Zbl 1154.11036Baruah, Nayandeep Deka; Berndt, Bruce C. 11 2008 Koshliakov’s formula and Guinand’s formula in Ramanujan’s lost notebook. Zbl 1183.33007Berndt, Bruce C.; Lee, Yoonbok; Sohn, Jaebum 6 2008 Your hit parade: the top ten most fascinating formulas in Ramanujan’s lost notebook. Zbl 1153.33300Andrews, George E.; Berndt, Bruce C. 4 2008 Questionable claims found in Ramanujan’s lost notebook. Zbl 1163.11002Berndt, Bruce C.; Chan, O-Yeat; Lim, Sung-Geun; Zaharescu, Alexandru 3 2008 Partition identities and Ramanujan’s modular equations. Zbl 1206.11132Baruah, Nayandeep Deka; Berndt, Bruce C. 29 2007 Ramanujan’s forty identities for the Rogers-Ramanujan functions. Zbl 1118.11044Berndt, Bruce C.; Choi, Geumlan; Choi, Youn-Seo; Hahn, Heekyoung; Yeap, Boon Pin; Yee, Ae Ja; Yesilyurt, Hamza; Yi, Jinhee 20 2007 Sixth order mock theta functions. Zbl 1122.33010Berndt, Bruce C.; Chan, Song Heng 17 2007 Partition-theoretic interpretations of certain modular equations of Schröter, Russell, and Ramanujan. Zbl 1131.05008Berndt, Bruce C. 16 2007 A reciprocity theorem for certain \(q\)-series found in Ramanujan’s lost notebook. Zbl 1123.33012Berndt, Bruce C.; Chan, Song Heng; Yeap, Boon Pin; Yee, Ae Ja 11 2007 Ramanujan’s congruences for the partition function modulo 5, 7, and 11. Zbl 1197.11137Berndt, Bruce C. 4 2007 Preface: a special issue in celebration of Marvin Knopp’s 73rd birthday. Zbl 1197.01051Berndt, Bruce C.; Choie, YoungJu 3 2007 An identity for the Dedekind eta-function involving two independent complex variables. Zbl 1123.11015Berndt, Bruce C.; Hart, William B. 3 2007 Solving Ramanujan’s differential equations for Eisenstein series via a first order Riccati equation. Zbl 1145.11035Hill, James M.; Berndt, Bruce C.; Huber, Tim 2 2007 Number theory in the spirit of Ramanujan. Zbl 1117.11001Berndt, Bruce C. 194 2006 Weighted divisor sums and Bessel function series. Zbl 1100.33001Berndt, Bruce C.; Zaharescu, Alexandru 10 2006 Ramanujan’s lost notebook. I. Zbl 1075.11001Andrews, George E.; Berndt, Bruce C. 189 2005 Cranks and dissections in Ramanujan’s lost notebook. Zbl 1114.11082Berndt, Bruce C.; Chan, Heng Huat; Chan, Song Heng; Liaw, Wen-Chin 12 2005 Determinations of analogues of Gauss sums and other trigonometric sums. Zbl 1088.11064Beck, Matthias; Berndt, Bruce C.; Chan, O-Yeat; Zaharescu, Alexandru 9 2005 Continued fractions with three limit points. Zbl 1131.11311Andrews, George E.; Berndt, Bruce C.; Sohn, Jaebum; Yee, Ae Ja; Zaharescu, Alexandru 5 2005 New identities for the Rogers-Ramanujan functions. Zbl 1205.11113Berndt, Bruce C.; Yesilyurt, Hamza 5 2005 On the power series coefficients of certain quotients of Eisenstein series. Zbl 1145.11312Berndt, Bruce C.; Bialek, Paul R. 4 2005 Ramanujan and cranks. Zbl 1219.33017Berndt, Bruce C.; Chan, Heng Huat; Chan, Song Heng; Liawt, Wen-Chin 2 2005 Finite trigonometric sums and class numbers. Zbl 1099.11039Berndt, Bruce C.; Zaharescu, Alexandru 21 2004 A new identity for \((q;q)_\infty^{10}\) with an application to Ramanujan’s partition congruence modulo 11. Zbl 1060.11063Berndt, Bruce C.; Chan, Song Heng; Liu, Zhi-Guo; Yesilyurt, Hamza 12 2004 New theorems on the parity of partition functions. Zbl 1034.11059Berndt, Bruce C.; Yee, Ae Ja; Zaharescu, Alexandru 5 2004 An unpublished manuscript of Ramanujan on infinite series identities. Zbl 1066.40001Berndt, Bruce C. 2 2004 \(q\)-Gauss summation via Ramanujan and combinatorics. Zbl 1063.33027Berndt, Bruce C.; Yee, Ae Ja 1 2004 On the parity of partition functions. Zbl 1047.11098Berndt, Bruce C.; Yee, Ae Ja; Zaharescu, Alexandru 10 2003 Combinatorial proofs of identities in Ramanujan’s lost notebook associated with the Rogers-Fine identity and false theta functions. Zbl 1037.05005Berndt, Bruce C.; Yee, Ae Ja 9 2003 On Ramanujan’s continued fraction for \((q^2;q^3)_{\infty}/(q;q^3)_{\infty}\). Zbl 1063.33026Andrews, George E.; Berndt, Bruce C.; Sohn, Jaebum; Yee, Ae Ja; Zaharescu, Alexandru 7 2003 A page on Eisenstein series in Ramanujan’s Lost Notebook. Zbl 1090.11025Berndt, Bruce C.; Yee, Ae Ja 6 2003 On the generalized Rogers–Ramanujan continued fraction. Zbl 1040.11053Berndt, Bruce C.; Yee, Ae Ja 5 2003 A quasi-theta product in Ramanujan’s lost notebook. Zbl 1055.11015Berndt, Bruce C.; Chan, Heng Huat; Zaharescu, Alexandru 3 2003 Theorems on partitions from a page in Ramanujan’s lost notebook. Zbl 1031.11062Berndt, Bruce C.; Yee, Ae Ja; Yi, Jinhee 3 2003 The life and work of R. A. Rankin (1915–2001). Zbl 1039.01011Berndt, Bruce C.; Kohnen, Winfried; Ono, Ken 2 2003 Explicit evaluations and reciprocity theorems for finite trigonometric sums. Zbl 1011.11057Berndt, Bruce C.; Yeap, Boon Pin 32 2002 A certain quotient of eta-functions found in Ramanujan’s lost notebook. Zbl 1054.11022Berndt, Bruce C.; Chan, Heng Huat; Kang, Soon-Yi; Zhang, Liang-Cheng 13 2002 Formulas of Ramanujan for the power series coefficients of certain quotients of Eisenstein series. Zbl 1033.11019Berndt, Bruce C.; Bialek, Paul R.; Yee, Ae Ja 12 2002 Integrals of Eisenstein series and derivatives of \(L\)-functions. Zbl 1086.11023Ahlgren, Scott; Berndt, Bruce C.; Yee, Ae Ja; Zaharescu, Alexandru 5 2002 Congruences for the coefficients of quotients of Eisenstein series. Zbl 1018.11020Berndt, Bruce C.; Yee, Ae Ja 4 2002 An integral of Dedekind \(\eta\)-functions in Ramanujan’s lost notebook. Zbl 1001.11017Berndt, Bruce C.; Zaharescu, Alexandru 2 2002 Ramanujan’s contributions to Eisenstein series, especially in his Lost Notebook. Zbl 1241.11107Berndt, Bruce C.; Yee, Ae Ja 2 2002 Asymptotic formulas for two continued fractions in Ramanujan’s Lost Notebook. Zbl 1034.11008Berndt, Bruce C.; Sohn, Jaebum 1 2002 Number theory for the millennium I. Proceedings of the millennial conference on number theory, Urbana-Champaign, IL, USA, May 21–26, 2000. Zbl 1002.00005 1 2002 On Ramanujan’s quartic theory of elliptic functions. Zbl 1005.33009Berndt, Bruce C.; Chan, Heng Huat; Liaw, Wen-Chin 16 2001 Eisenstein series and approximations to \(\pi\). Zbl 0998.33003Berndt, Bruce C.; Chan, Heng Huat 8 2001 Flowers which we connot yet see growing in Ramanujan’s garden of hypergeometric series, elliptic functions, and \(q\)’s. Zbl 1014.33012Berndt, Bruce C. 6 2001 Ramanujan: essays and surveys. Zbl 1117.11002 5 2001 On the transformation formula for the Dedekind eta-function. Zbl 1040.11028Berndt, Bruce C.; Venkatachaliengar, K. 1 2001 Collected papers of Srinivasa Ramanujan. Edited by G. H. Hardy, P. V. Seshu Aiyar and B. M. Wilson. With a new preface and commentary by Bruce C. Berndt. Third printing of the 1927 original. Zbl 1110.11001Ramanujan, Srinivasa 34 2000 On the Brocard-Ramanujan Diophantine equation \(n! + 1 = m^2\). Zbl 0999.11078Berndt, Bruce C.; Galway, William F. 12 2000 Some theorems on the Rogers-Ramanujan continued fraction in Ramanujan’s lost notebook. Zbl 1037.11011Berndt, Bruce C.; Huang, Sen-Shan; Sohn, Jaebum; Son, Seung Hwan 12 2000 ...and 111 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,842 Authors 74 Berndt, Bruce Carl 36 Saikia, Nipen 34 Baruah, Nayandeep Deka 34 Zaharescu, Alexandru 32 Chan, Heng Huat 32 Xia, Ernest X. W. 30 Mahadeva Naika, Megadahalli Sidda 28 Cooper, Shaun 28 Evans, Ronald J. 27 Dixit, Atul 26 Kim, Byungchan 23 Chu, Wenchang 23 Chu, Yuming 23 Sun, Zhihong 23 Yao, Olivia Xiang Mei 20 Lin, Bernard L. S. 20 Qiu, Songliang 19 Andrews, George Eyre 19 Chan, Song Heng 19 Xu, Ce 18 Alkan, Emre 18 Liu, Zhi-Guo 18 Lovejoy, Jeremy 18 Wang, Liuquan 18 Williams, Kenneth S. 17 Adiga, Chandrashekar 17 Bringmann, Kathrin 17 Zudilin, Wadim 16 Chen, Chaoping 16 Gu, Nancy Shan Shan 16 Mc Laughlin, James G. 15 Toh, Pee Choon 15 Vasuki, Kaliyur Ranganna 15 Wang, Miaokun 15 Yee, Ae Ja 15 Zhang, Wenpeng 14 Borwein, Jonathan Michael 14 Coffey, Mark William 14 Srivastava, Hari Mohan 13 Barman, Rupam 13 Chen, William Yong-Chuan 13 Cui, Su-Ping 13 Guillera, Jesús 13 Mao, Renrong 13 Simsek, Yilmaz 12 Chern, Shane 12 Kanemitsu, Shigeru 12 Ono, Ken 12 Sun, Zhi-Wei 12 Ye, Dongxi 11 Can, Mumun 11 Eie, Minking 11 Folsom, Amanda L. 11 Garvan, Frank G. 11 Huber, Tim 11 Jennings-Shaffer, Chris 11 Kumar, Belakavadi Radhakrishna Srivatsa 11 Moll, Victor Hugo 11 Rogers, Mathew D. 11 Roy, Arindam 11 Sellers, James Allen 11 Sills, Andrew V. 11 Tang, Dazhao 11 Vuorinen, Matti Keijo Kustaa 10 Cvijović, Djurdje 10 Dilcher, Karl 10 Feng, Tao 10 Straub, Armin 9 Berkovich, Alexander 9 Bowman, Douglas C. 9 Chan, Heichi 9 El Bachraoui, Mohamed 9 Guo, Victor J. W. 9 Hirschhorn, Michael D. 9 Kang, Soon-Yi 9 Kostov, Vladimir Petrov 9 Maji, Bibekananda 9 Merca, Mircea 9 Mortenson, Eric T. 9 Sohn, Jaebum 8 Alaca, Ayşe 8 Alaca, Şaban 8 Alzer, Horst 8 Boruah, Chayanika 8 Ma, Xiaoyan 8 Milas, Antun 8 Paris, Richard Bruce 8 Tsumura, Hirofumi 8 Yesilyurt, Hamza 8 Zhang, Wenlong 8 Zhou, Yajun 7 Adell, José Antonio 7 Baoulina, Ioulia N. 7 Bhuvan, E. N. 7 Chandankumar, Sathyanarayana 7 Hemanthkumar, B. 7 Ismail, Mourad El-Houssieny 7 Kim, Daeyeoul 7 Li, Chengju 7 Liaw, Wen-Chin ...and 1,742 more Authors all top 5 Cited in 314 Serials 304 The Ramanujan Journal 219 Journal of Number Theory 140 Journal of Mathematical Analysis and Applications 128 International Journal of Number Theory 71 Proceedings of the American Mathematical Society 50 Advances in Mathematics 36 Transactions of the American Mathematical Society 31 Mathematics of Computation 31 Finite Fields and their Applications 30 Journal of Combinatorial Theory. Series A 29 Journal of Computational and Applied Mathematics 28 Rocky Mountain Journal of Mathematics 28 Advances in Applied Mathematics 26 Bulletin of the Australian Mathematical Society 26 Applied Mathematics and Computation 26 Research in Number Theory 25 Discrete Mathematics 25 Results in Mathematics 23 Integral Transforms and Special Functions 22 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 22 Integers 19 Functiones et Approximatio. Commentarii Mathematici 18 Designs, Codes and Cryptography 18 Annals of Combinatorics 17 Indian Journal of Pure & Applied Mathematics 17 Acta Mathematica Sinica. 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Mathematics 10 Journal of Mathematics 9 Communications in Mathematical Physics 9 Mathematische Annalen 9 Monatshefte für Mathematik 9 Turkish Journal of Mathematics 9 The Electronic Journal of Combinatorics 8 Journal of High Energy Physics 8 Afrika Matematika 7 Israel Journal of Mathematics 7 Journal of Mathematical Physics 7 Mathematical Proceedings of the Cambridge Philosophical Society 7 Duke Mathematical Journal 7 Manuscripta Mathematica 7 European Journal of Combinatorics 7 Journal of the Ramanujan Mathematical Society 7 Experimental Mathematics 7 Journal of Difference Equations and Applications 7 Journal of Integer Sequences 7 Communications of the Korean Mathematical Society 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Computational Methods and Function Theory 7 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 6 Archiv der Mathematik 6 Czechoslovak Mathematical Journal 6 Linear Algebra and its Applications 6 Indagationes Mathematicae. New Series 6 Journal of Algebraic Combinatorics 6 Journal of Inequalities and Applications 6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 6 Journal of Classical Analysis 6 Research in the Mathematical Sciences 6 AIMS Mathematics 5 The Mathematical Gazette 5 Ukrainian Mathematical Journal 5 The Mathematical Intelligencer 5 Acta Mathematica Vietnamica 5 Glasgow Mathematical Journal 5 Journal of Algebra 5 Nagoya Mathematical Journal 5 Tokyo Journal of Mathematics 5 Journal of Mathematical Sciences (New York) 5 Honam Mathematical Journal 5 Open Mathematics 5 Korean Journal of Mathematics 5 Electronic Research Archive 4 Analysis Mathematica 4 Computers & Mathematics with Applications 4 Journal of Combinatorial Theory. Series B 4 Journal für die Reine und Angewandte Mathematik 4 Matematički Vesnik 4 Mathematika 4 Quaestiones Mathematicae 4 Bulletin of the Korean Mathematical Society 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Boletín de la Sociedad Matemática Mexicana. Third Series 4 The Journal of Fourier Analysis and Applications ...and 214 more Serials all top 5 Cited in 54 Fields 1,861 Number theory (11-XX) 774 Special functions (33-XX) 513 Combinatorics (05-XX) 98 Functions of a complex variable (30-XX) 90 Sequences, series, summability (40-XX) 82 Algebraic geometry (14-XX) 70 Approximations and expansions (41-XX) 69 Real functions (26-XX) 65 Numerical analysis (65-XX) 52 Information and communication theory, circuits (94-XX) 44 Quantum theory (81-XX) 40 Harmonic analysis on Euclidean spaces (42-XX) 30 Probability theory and stochastic processes (60-XX) 26 History and biography (01-XX) 24 Computer science (68-XX) 22 Ordinary differential equations (34-XX) 18 Field theory and polynomials (12-XX) 18 Nonassociative rings and algebras (17-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 15 Difference and functional equations (39-XX) 13 Integral transforms, operational calculus (44-XX) 12 Partial differential equations (35-XX) 12 Manifolds and cell complexes (57-XX) 11 Group theory and generalizations (20-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Geometry (51-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 Functional analysis (46-XX) 8 Relativity and gravitational theory (83-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Statistics (62-XX) 5 General and overarching topics; collections (00-XX) 5 Operator theory (47-XX) 5 Convex and discrete geometry (52-XX) 5 Differential geometry (53-XX) 4 Measure and integration (28-XX) 4 Abstract harmonic analysis (43-XX) 4 Biology and other natural sciences (92-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Commutative algebra (13-XX) 3 Topological groups, Lie groups (22-XX) 3 Mathematics education (97-XX) 2 Category theory; homological algebra (18-XX) 2 \(K\)-theory (19-XX) 2 Mechanics of particles and systems (70-XX) 2 Fluid mechanics (76-XX) 1 Mathematical logic and foundations (03-XX) 1 Potential theory (31-XX) 1 Algebraic topology (55-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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