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## McIntosh, Richard J.

Compute Distance To:
 Author ID: mcintosh.richard-j Published as: McIntosh, Richard; McIntosh, Richard J.
 Documents Indexed: 27 Publications since 1983
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#### Co-Authors

 19 single-authored 4 Gordon, Basil 1 Alladi, Krishnaswami 1 Andrews, George Eyre 1 Dipra, Mitra 1 Li, Hongze 1 Ono, Ken 1 Roettger, Eric L.
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#### Serials

 7 The Ramanujan Journal 2 American Mathematical Monthly 2 Canadian Journal of Mathematics 2 Journal of Combinatorial Theory. Series A 2 Journal of the London Mathematical Society. Second Series 2 Journal of Number Theory 1 Mathematics of Computation 1 Acta Arithmetica 1 Canadian Mathematical Bulletin 1 The Fibonacci Quarterly 1 Journal of the Australian Mathematical Society. Series A 1 Acta Mathematica Sinica. English Series 1 Integers
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#### Fields

 26 Number theory (11-XX) 10 Special functions (33-XX) 5 Approximations and expansions (41-XX) 3 Combinatorics (05-XX) 1 History and biography (01-XX) 1 Real functions (26-XX)

#### Citations contained in zbMATH Open

18 Publications have been cited 235 times in 160 Documents Cited by Year
A survey of classical mock theta functions. Zbl 1246.33006
Gordon, Basil; McIntosh, Richard J.
2012
Some eighth order mock theta functions. Zbl 1031.11007
Gordon, Basil; McIntosh, Richard J.
2000
Second-order mock theta functions. Zbl 1133.11013
McIntosh, Richard J.
2007
A search for Fibonacci-Wieferich and Wolstenholme primes. Zbl 1139.11003
McIntosh, Richard J.; Roettger, Eric L.
2007
A generalization of a congruential property of Lucas. Zbl 0755.11001
McIntosh, Richard J.
1992
Modular transformations of Ramanujan’s fifth and seventh order mock theta functions. Zbl 1031.11008
Gordon, Basil; McIntosh, Richard J.
2003
Some asymptotic formulae for $$q$$-shifted factorials. Zbl 0957.11013
McIntosh, Richard J.
1999
The $$H$$ and $$K$$ families of mock theta functions. Zbl 1264.33022
McIntosh, Richard J.
2012
On the converse of Wolstenholme’s theorem. Zbl 0829.11003
McIntosh, Richard J.
1995
An asymptotic formula for binomial sums. Zbl 0858.05003
McIntosh, Richard J.
1996
New mock theta conjectures. I. Zbl 1422.11095
McIntosh, Richard J.
2018
Algebraic dilogarithm identities. Zbl 0916.11013
Gordon, Basil; McIntosh, Richard J.
1997
Some asymptotic formulae for $$q$$-hypergeometric series. Zbl 0867.33011
McIntosh, Richard J.
1995
Recurrences for alternating sums of powers of binomial coefficients. Zbl 0778.05001
McIntosh, Richard J.
1993
On the universal mock theta function $$g_2$$ and Zwegers’ $$\mu$$-function. Zbl 1433.11050
McIntosh, Richard J.
2017
Carmichael numbers with $$p+1\mid n+1$$. Zbl 1303.11017
McIntosh, Richard J.; Dipra, Mitra
2015
Franel integrals of order four. Zbl 0855.11020
McIntosh, Richard J.
1996
A necessary and sufficient condition for the primality of Fermat numbers. Zbl 0513.10012
McIntosh, Richard
1983
New mock theta conjectures. I. Zbl 1422.11095
McIntosh, Richard J.
2018
On the universal mock theta function $$g_2$$ and Zwegers’ $$\mu$$-function. Zbl 1433.11050
McIntosh, Richard J.
2017
Carmichael numbers with $$p+1\mid n+1$$. Zbl 1303.11017
McIntosh, Richard J.; Dipra, Mitra
2015
A survey of classical mock theta functions. Zbl 1246.33006
Gordon, Basil; McIntosh, Richard J.
2012
The $$H$$ and $$K$$ families of mock theta functions. Zbl 1264.33022
McIntosh, Richard J.
2012
Second-order mock theta functions. Zbl 1133.11013
McIntosh, Richard J.
2007
A search for Fibonacci-Wieferich and Wolstenholme primes. Zbl 1139.11003
McIntosh, Richard J.; Roettger, Eric L.
2007
Modular transformations of Ramanujan’s fifth and seventh order mock theta functions. Zbl 1031.11008
Gordon, Basil; McIntosh, Richard J.
2003
Some eighth order mock theta functions. Zbl 1031.11007
Gordon, Basil; McIntosh, Richard J.
2000
Some asymptotic formulae for $$q$$-shifted factorials. Zbl 0957.11013
McIntosh, Richard J.
1999
Algebraic dilogarithm identities. Zbl 0916.11013
Gordon, Basil; McIntosh, Richard J.
1997
An asymptotic formula for binomial sums. Zbl 0858.05003
McIntosh, Richard J.
1996
Franel integrals of order four. Zbl 0855.11020
McIntosh, Richard J.
1996
On the converse of Wolstenholme’s theorem. Zbl 0829.11003
McIntosh, Richard J.
1995
Some asymptotic formulae for $$q$$-hypergeometric series. Zbl 0867.33011
McIntosh, Richard J.
1995
Recurrences for alternating sums of powers of binomial coefficients. Zbl 0778.05001
McIntosh, Richard J.
1993
A generalization of a congruential property of Lucas. Zbl 0755.11001
McIntosh, Richard J.
1992
A necessary and sufficient condition for the primality of Fermat numbers. Zbl 0513.10012
McIntosh, Richard
1983
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#### Cited by 188 Authors

 10 Folsom, Amanda 9 Bringmann, Kathrin 7 Lovejoy, Jeremy 5 Gu, Nancy Shan Shan 5 Luca, Florian 5 Mao, Renrong 5 McIntosh, Richard J. 5 Osburn, Robert 5 Rhoades, Robert C. 4 Meštrović, Romeo 4 Mortenson, Eric T. 4 Ono, Ken 4 Winterhof, Arne 4 Zhang, Zhizheng 3 Allouche, Jean-Paul Simon 3 Andrews, George Eyre 3 Goyal, Megha 3 Hu, Qiuxia 3 Kang, Soon-Yi 3 Rana, Meenakshi 3 Srivastava, Bhaskar 2 Ahmad, Mohammad Shukri 2 Castro, Francis Noel 2 Chamberland, Marc 2 Chan, Song Heng 2 Choi, Youn-Seo 2 Cui, Su-Ping 2 Dilcher, Karl 2 Garvan, Frank G. 2 Hao, Li-Jun 2 Haq, Sirazul 2 Hikami, Kazuhiro 2 Jennings-Shaffer, Chris 2 Ji, Kathy Qing 2 Khan, Abdul Hakim 2 Kim, Byungchan 2 Kiselev, Denis Dmitrievich 2 Klaška, Jiří 2 Medina, Luis A. 2 Meidl, Wilfried 2 Neuschel, Thorsten 2 Patkowski, Alexander Eric 2 Rivoal, Tanguy 2 Sharma, Shruti 2 Skordev, Gencho S. 2 Song, Hanfei 2 Su, Chenyang 2 Swisher, Holly 2 Zhang, Changgui 2 Zhang, Helen W. J. 2 Zhao, Alice Xiao Hua 2 Zhou, Haigang 1 Abel, Ulrich 1 Aebi, Christian 1 Agarwal, Ashwani Kumar 1 Alfes-Neumann, Claudia 1 Alladi, Krishnaswami 1 Andersen, Nickolas 1 Antonopoulou, Sotiria 1 Banerjee, Shubho 1 Barbier, Matthieu 1 Barnett, Michael A. 1 Berndt, Bruce Carl 1 Bès, Alexis 1 Bouvel, Mathilde 1 Bouzeffour, Fethi 1 Bridgeman, Martin J. 1 Brietzke, Eduardo H. M. 1 Bugeaud, Yann 1 Burson, Hannah E. 1 Cai, Tianxin 1 Canfield, E. Rodney 1 Carroll, Greg 1 Chen, Bin 1 Chen, Bin 1 Chen, Dandan 1 Chen, William Yong-Chuan 1 Cheng, Miranda C. N. 1 Chern, Bobbie 1 Corbett, James C. 1 Costa, Edgar 1 da Silva, Robson 1 Debaene, Korneel 1 Dijoux, Yann 1 Duncan, John F. R. 1 Eguchi, Tohru 1 El Bachraoui, Mohamed 1 Elsner, Carsten 1 Fischler, Stéphane 1 Fouladirad, Mitra 1 Garaev, Moubariz Z. 1 Garthwaite, Sharon Anne 1 Gawronski, Wolfgang 1 Ghosh, Arka Prasanna 1 Gómez, Carlos Alexis 1 Gómez, Jhonny C. 1 González, Oscar E. 1 Gouyou-Beauchamps, Dominique 1 Goyal, Mokshi 1 Guerreiro, João Nisan C. ...and 88 more Authors
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#### Cited in 75 Serials

 18 The Ramanujan Journal 12 Journal of Number Theory 10 International Journal of Number Theory 8 Advances in Applied Mathematics 6 Proceedings of the American Mathematical Society 6 Research in Number Theory 5 Advances in Mathematics 4 Research in the Mathematical Sciences 3 Bulletin of the Australian Mathematical Society 3 Czechoslovak Mathematical Journal 3 Transactions of the American Mathematical Society 3 Advances in Difference Equations 2 Discrete Applied Mathematics 2 Discrete Mathematics 2 Journal of Mathematical Analysis and Applications 2 Mathematics of Computation 2 Archiv der Mathematik 2 Journal of Combinatorial Theory. Series A 2 Tokyo Journal of Mathematics 2 European Journal of Combinatorics 2 Bulletin of the Korean Mathematical Society 2 Journal of Complexity 2 Elemente der Mathematik 2 Indagationes Mathematicae. New Series 2 Journal de Théorie des Nombres de Bordeaux 2 Journal of Integer Sequences 2 Journal of the Australian Mathematical Society 2 Electronic Journal of Mathematical Analysis and Applications EJMAA 1 Advances in Applied Probability 1 Information Processing Letters 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Moscow University Mathematics Bulletin 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Acta Arithmetica 1 Functiones et Approximatio. Commentarii Mathematici 1 Glasgow Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Algebra 1 Journal of Computational and Applied Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Revista Colombiana de Matemáticas 1 Theoretical Computer Science 1 Annals of Pure and Applied Logic 1 Graphs and Combinatorics 1 Journal of Symbolic Computation 1 Constructive Approximation 1 Journal of the American Mathematical Society 1 SIAM Journal on Discrete Mathematics 1 European Journal of Operational Research 1 Experimental Mathematics 1 Sbornik: Mathematics 1 Arab Journal of Mathematical Sciences 1 Acta Mathematica et Informatica Universitatis Ostraviensis 1 Journal of Inequalities and Applications 1 Geometry & Topology 1 Journal of Discrete Mathematical Sciences & Cryptography 1 Annals of Mathematics. Second Series 1 Annales Henri Poincaré 1 Integers 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Computational Methods and Function Theory 1 Contributions to Discrete Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 Acta Mathematica Universitatis Ostraviensis 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Forum of Mathematics, Pi 1 Korean Journal of Mathematics 1 Journal of Ramanujan Society of Mathematics and Mathematical Sciences 1 Ural Mathematical Journal 1 Electronic Research Archive
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#### Cited in 27 Fields

 140 Number theory (11-XX) 57 Special functions (33-XX) 52 Combinatorics (05-XX) 6 Functions of a complex variable (30-XX) 5 Approximations and expansions (41-XX) 3 Nonassociative rings and algebras (17-XX) 3 Probability theory and stochastic processes (60-XX) 3 Computer science (68-XX) 2 Commutative algebra (13-XX) 2 Algebraic geometry (14-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Manifolds and cell complexes (57-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)