Research Papers
All of my papers also available on arXiv.org.
14. Petrow, I.: The Weyl Law for Algebraic Tori.
Journal of the European Mathematical Society (JEMS), to appear. On ArXiv.
13. Petrow, I., Young, M.P.: The fourth moment of Dirichlet L-functions along a coset and the Weyl bound.
Duke Mathematical Journal. 172 no. 10, pp. 1879-1960 (2023).
12. Lesesvre, D., Petrow, I.: The Volumes of Miyauchi Subgroups.
Archiv der Mathematik. 119, pp. 37-51 (2022).
11. Petrow, I., Young, M.P.: The Weyl bound for Dirichlet L-functions of cube-free conductor.
Annals of Mathematics. Second Series. 192(2) pp. 437-486 (2020).
10. Kıral, E.M., Petrow, I., Young, M.P.: Oscillatory Integrals with Uniformity in Parameters.
Journal de Théorie des Nombres de Bordeaux. 31(1) pp. 145-159 (2019).
9. Petrow, I.: Bounds for Traces of Hecke Operators and Applications to Modular and Elliptic Curves Over a Finite Field.
Algebra & Number Theory. 12(10) pp. 2471-2498 (2018).
8. Petrow, I., Young, M.P.: A Generalized Cubic Moment and the Petersson Formula for Newforms.
Mathematische Annalen. 373 no. 1-2, pp. 287-353 (2019).
7. Brooks E.H., Petrow, I.: Counting Automorphic Forms on Norm One Tori.
Acta Arithmetica. 183(2), pp. 117-143 (2018).
6. Kaplan N., Petrow, I.: Elliptic Curves Over a Finite Field and the Trace Formula.
Proc. London Math Soc. 115(6), pp. 1317-1372 (2017).
5. Kaplan N., Petrow, I.: Traces of Hecke Operators and Refined Weight Enumerators of Reed-Solomon Codes.
Transactions of the AMS. 370(4), pp. 2537-2561 (2018).
4. Petrow, I.: A Twisted Motohashi Formula and Weyl-Subconvexity for L-functions of Weight Two Cusp Forms.
Mathematische Annalen. 363 no. 1-2, pp. 175-216 (2015).
3. Altuğ, S.A., Bettin, S., Petrow, I., Rishikesh, R., Whitehead, I.: A Recursion Formula for Moments of Random Matrix Polynomials.
The Quarterly Journal of Mathematics. 65(4), pp. 1111-1125 (2014).
2. Petrow, I.: Moments of L'(1/2) in the Family of Quadratic Twists.
Int. Math. Res. Not. IMRN. 2014(6), pp. 1576-1612 (2014).
1. Petrow, I.: Transition Mean Values of Shifted Convolution Sums.
Journal of Number Theory. 133(10), pp. 3264-3282 (2013).
Note: Published papers in the above list appear in the order they were accepted, not the order they appeared in an issue. ArXiv preprints appear in the order they were first posted.
Other
3. Petrow, I., Young, M.P.: Cubic moments and a distance function on cuspidal representations.
in Automorphic Forms and Arithmetic, Oberwolfach Reports no. 26 pp. 31-34 (2020).
2. Petrow, I.: Moments of Automorphic L-functions and Related Problems.
PhD Thesis. Available from Stanford Libraries (2013).
1. Petrow, I.: Numerical Evidence for a Conjecture of Hooley.
Undergraduate Thesis. Princeton University (2007).
Last updated: 8 March, 2024.