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A proof of the conjecture of Mazur-Rubin-Stein
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We present a concise proof of the conjecture of Mazur-Rubin-Stein on the distribution of modular symbols.
Abstract
We present a concise proof of the conjecture of Mazur-Rubin-Stein on the distribution of modular symbols.
참고문헌 (7)
- V. Blomer, "The second moment theory of families of L-functions, to appear in Memoirs of the AMS", ~
- Nikolaos Diamantis, "Additive twists and a conjecture by Mazur, Rubin and Stein", Journal of Number Theory, 209, pp.1~36 (2020), Elsevier BV[DOI]
- D. R. Heath-Brown, "Arithmetic applications of Kloosterman sums", Nieuw Arch. Wiskd, 1(5), pp.38084~ (2000)
- M. Kim, "Modular symbols and modular L-values with cyclotomic twists", submitted, ~
- J. Lee, "Dynamics of continued fractions and distribution of modular symbols", submitted, ~
- B. Mazur, "Relatively few rational points", Lecture note at Cal Tech, ~
- Yiannis N. Petridis, "Arithmetic statistics of modular symbols", Inventiones mathematicae, 212(3), pp.997~1053 (2018), Springer Science and Business Media LLC[DOI]
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