The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Theorems on factorization and primality testing
Abstract
1.Introduction. This paper is concerned with the problem of obtaining theoretical estimates for the number of arithmetical operations required to factorize a large integer n or test it for primality. One way of making these problems precise uses a multi-tape Turing machine (e.g. (1), although we require a version with an input tape). At the start of the calculation n is written in radix notation on one of the tapes, and the machine is to stop after writing out the factors in radix notation or after writing one of two symbols denoting ‘prime’ or ‘composite’. There are, of course, other definitions which could be used; but the differences between these are unimportant for our purpose.
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Citations
Cites
An algorithm for the machine calculation of complex Fourier series
Cooley, J. W., & Tukey, J. W. (1965) · Mathematics of Computation · doi:10.1090/s0025-5718-1965-0178586-1 · Cited by 13,154
Schnelle Multiplikation großer Zahlen
Schönhage, A., & Strassen, V. (1971) · Computing · doi:10.1007/bf02242355 · Cited by 1,107
Cited by
A method for obtaining digital signatures and public-key cryptosystems
Rivest, R. L., Shamir, A., & Adleman, L. (1978) · Communications of the ACM · doi:10.1145/359340.359342 · Cited by 13,462
A method for obtaining digital signatures and public-key cryptosystems
Rivest, R. L., Shamir, A., & Adleman, L. (1983) · Communications of the ACM · doi:10.1145/357980.358017 · Cited by 13,012
Handbook of applied cryptography
(1997) · Choice Reviews Online · doi:10.5860/choice.34-4512 · Cited by 10,357
Monte Carlo methods for index computation (𝑚𝑜𝑑𝑝)
Pollard, J. M. (1978) · Mathematics of Computation · doi:10.1090/s0025-5718-1978-0491431-9 · Cited by 825
Self-citation
Metadata
- Authors
- Pollard, J. M.
- Venue
- Mathematical Proceedings of the Cambridge Philosophical Society
- Publisher
- Cambridge University Press (CUP)
- Published
- 1974-11
- Volume
- 76
- Issue
- 3
- Pages
- 521-528
- ISSN
- 0305-0041 (ISSN-L)
- 1469-8064
- OpenAlex
- W2145964906
- Cited by
- 402
- References
- 2
- FWCI
- 2.48
- Type
- journal article
- Language
- en
- Open access
- closed
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- Pollard, J. M. (1974). Theorems on factorization and primality testing. Mathematical Proceedings of the Cambridge Philosophical Society. https://doi.org/10.1017/s0305004100049252
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
