Staff profile
Overview
https://apps.dur.ac.uk/biography/image/1973
Affiliation | Telephone |
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Assistant Professor in the Department of Mathematical Sciences |
Research interests
- Additive combinatorics
- Analytic Number Theory
- Modular forms
- Probability Theory
Publications
Journal Article
- Sign changes of fourier coefficients of holomorphic cusp forms at norm form arguments
MANGEREL, A. P. (online). Sign changes of fourier coefficients of holomorphic cusp forms at norm form arguments. Mathematical Proceedings of the Cambridge Philosophical Society, 175(3), 539-567. https://doi.org/10.1017/s0305004123000294 - On Equal Consecutive Values of Multiplicative Functions
Mangerel, A. P. (2024). On Equal Consecutive Values of Multiplicative Functions. Discrete Analysis, 12, https://doi.org/10.19086/da.125450 - A Goldbach-type problem for the Liouville function
Mangerel, S. (2024). A Goldbach-type problem for the Liouville function. International Mathematics Research Notices, 2024(16), 11865-11877. https://doi.org/10.1093/imrn/rnae149 - Beyond the Erdős discrepancy problem in function fields
Klurman, O., Mangerel, A. P., & Teräväinen, J. (2024). Beyond the Erdős discrepancy problem in function fields. Mathematische Annalen, 389(3), 2959-3008. https://doi.org/10.1007/s00208-023-02700-z - Large sums of high‐order characters
Mangerel, A. P. (2024). Large sums of high‐order characters. Journal of the London Mathematical Society, 109(1), Article e12841. https://doi.org/10.1112/jlms.12841 - Three conjectures about character sums
Granville, A., & Mangerel, A. P. (2023). Three conjectures about character sums. Mathematische Zeitschrift, 305(3), Article 49. https://doi.org/10.1007/s00209-023-03374-8 - Multiplicative functions in short arithmetic progressions
Klurman, O., Mangerel, A. P., & Teräväinen, J. (2023). Multiplicative functions in short arithmetic progressions. Proceedings of the London Mathematical Society, 127(2), 366-446. https://doi.org/10.1112/plms.12546 - Correlations of multiplicative functions in function fields
Klurman, O., Mangerel, A. P., & Teräväinen, J. (2023). Correlations of multiplicative functions in function fields. Mathematika, 69(1), 155-231. https://doi.org/10.1112/mtk.12181 - Divisor-bounded multiplicative functions in short intervals
Mangerel, A. P. (2023). Divisor-bounded multiplicative functions in short intervals. Research in the Mathematical Sciences, 10(12), https://doi.org/10.1007/s40687-023-00376-0 - Squarefrees are Gaussian in short intervals
Gorodetsky, O., Mangerel, A., & Rodgers, B. (2023). Squarefrees are Gaussian in short intervals. Journal für die reine und angewandte Mathematik, 2023(795), 1-44. https://doi.org/10.1515/crelle-2022-0066 - Short Character Sums and the Pólya–Vinogradov Inequality
Mangerel, A. P. (2022). Short Character Sums and the Pólya–Vinogradov Inequality. The Quarterly Journal of Mathematics, 71(4), 1281–1308. https://doi.org/10.1093/qmath/haaa031 - Additive functions in short intervals, gaps and a conjecture of Erdős
Mangerel, A. P. (2022). Additive functions in short intervals, gaps and a conjecture of Erdős. Ramanujan Journal, 59(4), 1023-1090. https://doi.org/10.1007/s11139-022-00623-y - Large odd order character sums and improvements of the P\'olya-Vinogradov inequality
Lamzouri, Y., & Mangerel, A. P. (2022). Large odd order character sums and improvements of the P\'olya-Vinogradov inequality. Transactions of the American Mathematical Society, 375, 3759-3793. https://doi.org/10.1090/tran/8607 - Multiplicative functions that are close to their mean
Klurman, O., Mangerel, A., Pohoata, C., & Teräväinen, J. (2021). Multiplicative functions that are close to their mean. Transactions of the American Mathematical Society, 374(11), 7967-7990. https://doi.org/10.1090/tran/8427 - Squarefree Integers in Arithmetic Progressions to Smooth Moduli
Mangerel, A. P. (2021). Squarefree Integers in Arithmetic Progressions to Smooth Moduli. Forum of Mathematics, Sigma, 9, Article e72. https://doi.org/10.1017/fms.2021.67 - On the orbits of multiplicative pairs
Klurman, O., & Mangerel, A. P. (2020). On the orbits of multiplicative pairs. Algebra & Number Theory, 14(1), 155–189. https://doi.org/10.2140/ant.2020.14.155 - On the bivariate Erdős–Kac theorem and correlations of the Möbius function
Mangerel, A. P. (2019). On the bivariate Erdős–Kac theorem and correlations of the Möbius function. Mathematical Proceedings of the Cambridge Philosophical Society, 169(3), 547-605. https://doi.org/10.1017/s0305004119000288 - Rigidity theorems for multiplicative functions
Klurman, O., & Mangerel, A. P. (2018). Rigidity theorems for multiplicative functions. Mathematische Annalen, 372(1-2), 651–697. https://doi.org/10.1007/s00208-018-1724-6
Supervision students
Yichen You
2P