Research output per year
Research output per year
Search results
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2019
Bisector energy and pinned distances in positive characteristic
Murphy, B., Rudnev, M. & Stevens, S. C. C., 2019, (Submitted) In: SUBMITTED.Research output: Contribution to journal › Article (Academic Journal) › peer-review
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New results on sum-product type growth over fields
Murphy, B., Petridis, G., Roche-Newton, O., Rudnev, M. & Shkredov, I. D., 2 Apr 2019, In: Mathematika. 65, 3, p. 588-642 55 p.Research output: Contribution to journal › Article (Academic Journal) › peer-review
42 Citations (Scopus) -
2017
Growth Estimates in Positive Characteristic via Collisions
Yazici, E. A., Murphy, B., Rudnev, M. & Shkredov, I., Dec 2017, In: International Mathematics Research Notices. 2017, 23, p. 7148-7189 42 p., rnw206.Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open AccessFile26 Citations (Scopus)342 Downloads (Pure) -
On the few products, many sums problem
Murphy, B., Rudnev, M., Shkredov, I. D. & Shteinikov, Y. N., 1 Dec 2017, (Submitted) In: Journal de théorie des nombres de Bordeaux.Research output: Contribution to journal › Article (Academic Journal) › peer-review
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Products of Differences over Arbitrary Finite Fields
Murphy, B. & Petridis, G., 18 May 2017, (Submitted) In: Discrete Analysis.Research output: Contribution to journal › Article (Academic Journal) › peer-review
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Upper and lower bounds for rich lines in grids
Murphy, B., 29 Sept 2017, (Submitted) In: American Journal of Mathematics.Research output: Contribution to journal › Article (Academic Journal) › peer-review
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Variations on the Sum-Product Problem II
Murphy, B., Roche-Newton, O. & Shkredov, I., 2017, In: SIAM Journal on Discrete Mathematics. 31, 3, p. 1878-1894 17 p.Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open AccessFile12 Citations (Scopus)264 Downloads (Pure) -
2016
A point-line incidence identity in finite fields, and applications
Murphy, B. & Petridis, G., 15 Jan 2016, In: Moscow Journal of Combinatorics and Number Theory,.Research output: Contribution to journal › Article (Academic Journal) › peer-review
13 Citations (Scopus) -
2014
The square root law and structure of finite rings
Iosevich, A., Murphy, B. & Pakianathan, J., 29 May 2014, In: Moscow Journal of Combinatorics and Number Theory,.Research output: Contribution to journal › Article (Academic Journal) › peer-review
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2013
Kakeya Configurations in Lie Groups and Homogeneous Spaces
Murphy, B. & Pakianathan, J., 4 Mar 2013, In: Topology and its Applications.Research output: Contribution to journal › Article (Academic Journal) › peer-review
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The Cardinality of Sumsets: Different Summands
Murphy, B., Palsson, E. A. & Petridis, G., 9 Sept 2013, In: Acta Arithmetica.Research output: Contribution to journal › Article (Academic Journal) › peer-review
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Variations on the Sum-Product Problem
Murphy, B., Roche-Newton, O. & Shkredov, I. D., 22 Dec 2013, In: SIAM Journal on Discrete Mathematics.Research output: Contribution to journal › Article (Academic Journal) › peer-review