Staff profile

• Additive combinatorics
• Analytic Number Theory
• Modular forms
• Probability Theory

Journal Article

• Mangerel, A. P. (in press). On Equal Consecutive Values of Multiplicative Functions. Discrete Analysis,
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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