Richard J. McIntosh

University of Regina

*This is an algorithmically generated author record based on publicly available information.

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University of Regina

Research Subjects

Mathematical Theory

Research Interests

Richard J. McIntosh has a total of 4 co-authors. Here are the top co-authors by number of shared publications:

Basil Gordon
Department of Mathematics, University of California, Los Angeles, CA 90024, USA
1 shared publication
Basil Gordon
University of California
1 shared publication
Eric Roettger
Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, Canada T2N 1N4
1 shared publication
Hongze Li
School of Mathematical Sciences , 12474 Shanghai Jiao Tong University , Shanghai , P. R. China
1 shared publication

Latest Publications

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Cited by 18
- 11 September 2017
- Published by Springer Nature in The Ramanujan Journal
New mock theta conjectures Part I
by Richard J. McIntosh
Website
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- 11 September 2017
- Published by Springer Nature in The Ramanujan Journal
New mock theta conjectures Part I
by Richard J. McIntosh
Cited by 18
Website
Google Scholar
Cited by 10
- 26 April 2017
- Published by Springer Nature in The Ramanujan Journal
On the asymptotics of some partial theta functions
by Richard J. McIntosh
Website
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- 26 April 2017
- Published by Springer Nature in The Ramanujan Journal
On the asymptotics of some partial theta functions
by Richard J. McIntosh
Cited by 10
Website
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Cited by 6
- 23 January 2017
- Published by Springer Nature in The Ramanujan Journal
Some identities for Appell–Lerch sums and a universal mock theta function
by Richard J. McIntosh
Website
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- 23 January 2017
- Published by Springer Nature in The Ramanujan Journal
Some identities for Appell–Lerch sums and a universal mock theta function
by Richard J. McIntosh
Cited by 6
Website
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Cited by 3
- 1 January 2017
- Published by Springer Nature
On the Universal Mock Theta Function $g_{{{\scriptstyle 2}}}$ and Zwegers’ $\mu $ -Function
by Richard J. McIntosh
Website
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- 1 January 2017
- Published by Springer Nature
On the Universal Mock Theta Function $g_{{{\scriptstyle 2}}}$ and Zwegers’ $\mu $ -Function
by Richard J. McIntosh
Cited by 3
Website
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Cited by 92
- 5 August 2011
- Published by Springer Nature
A Survey of Classical Mock Theta Functions
by Basil Gordon, Richard J. McIntosh
Website
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- 5 August 2011
- Published by Springer Nature
A Survey of Classical Mock Theta Functions
by Basil Gordon, Richard J. McIntosh
Cited by 92
Website
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Cited by 4
- 17 December 2008
- Published by Springer Nature in The Ramanujan Journal
Unclosed asymptotic expansions and mock theta functions
by Richard J. Mcintosh
Website
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- 17 December 2008
- Published by Springer Nature in The Ramanujan Journal
Unclosed asymptotic expansions and mock theta functions
by Richard J. Mcintosh
Cited by 4
Website
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Cited by 64
- 17 April 2007
- Published by American Mathematical Society (AMS) in Mathematics of Computation
A search for Fibonacci-Wieferich and Wolstenholme primes
by Richard McIntosh, Eric Roettger
A prime $p$ is called a Fibonacci-Wieferich prime if $F_{p-({p\over 5})}\equiv 0\pmod {p^2}$ , where $F_n$ is the $n$ th Fibonacci number. We report that there exist no such primes $p>2\times 10^{14}$ . A prime $p$ is called a Wolstenholme prime if ${2p-1\choose p-1}\equiv 1\pmod {p^4}$ . To date the only known Wolstenholme primes are 16843 and 2124679. We report that there exist no new Wolstenholme primes $p>10^9$ . Wolstenholme, in 1862, proved that ${2p-1\choose p-1}\equiv 1\pmod {p^3}$ for all primes $p\ge 5$ . It is estimated by a heuristic argument that the “probability” that $p$ is Fibonacci-Wieferich (independently: that $p$ is Wolstenholme) is about $1/p$ . We provide some statistical data relevant to occurrences of small values of the Fibonacci-Wieferich quotient $F_{p-({p\over 5})}/p$ modulo $p$ .
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- 17 April 2007
- Published by American Mathematical Society (AMS) in Mathematics of Computation
A search for Fibonacci-Wieferich and Wolstenholme primes
by Richard McIntosh, Eric Roettger
A prime $p$ is called a Fibonacci-Wieferich prime if $F_{p-({p\over 5})}\equiv 0\pmod {p^2}$ , where $F_n$ is the $n$ th Fibonacci number. We report that there exist no such primes $p>2\times 10^{14}$ . A prime $p$ is called a Wolstenholme prime if ${2p-1\choose p-1}\equiv 1\pmod {p^4}$ . To date the only known Wolstenholme primes are 16843 and 2124679. We report that there exist no new Wolstenholme primes $p>10^9$ . Wolstenholme, in 1862, proved that ${2p-1\choose p-1}\equiv 1\pmod {p^3}$ for all primes $p\ge 5$ . It is estimated by a heuristic argument that the “probability” that $p$ is Fibonacci-Wieferich (independently: that $p$ is Wolstenholme) is about $1/p$ . We provide some statistical data relevant to occurrences of small values of the Fibonacci-Wieferich quotient $F_{p-({p\over 5})}/p$ modulo $p$ .
Cited by 64
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- 21 June 2004
- Published by Springer Nature in Acta Mathematica Sinica, English Series
On Pairs of Linear Equations in Three Prime Variables
by Hong Ze Li, Richard J. Mcintosh
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- 21 June 2004
- Published by Springer Nature in Acta Mathematica Sinica, English Series
On Pairs of Linear Equations in Three Prime Variables
by Hong Ze Li, Richard J. Mcintosh
Website
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Cited by 142
- 1 October 2000
- Published by Wiley in Journal of the London Mathematical Society
Some Eighth Order Mock Theta Functions
by Basil Gordon, Richard J. Mcintosh
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- 1 October 2000
- Published by Wiley in Journal of the London Mathematical Society
Some Eighth Order Mock Theta Functions
by Basil Gordon, Richard J. Mcintosh
Cited by 142