Staff profile

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

Journal Article

• 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
• Sign changes of fourier coefficients of holomorphic cusp forms at norm form arguments
  
  MANGEREL, A. P. (2023). 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
• 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
• 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
• 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 (Crelles Journal), 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. The 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