Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Zehavi, Sa'ar"'
Autor:
Jarossay, David, Lilienfeldt, David T. -B. G., Saettone, Francesco Maria, Weiss, Ariel, Zehavi, Sa'ar
Given a finite set $S$ of distinct primes, we propose a method to construct polylogarithmic motivic Chabauty-Kim functions for $\mathbb{P}^1 \setminus \{ 0,1,\infty \}$ using resultants. For a prime $p\not\in S$, the vanishing loci of the images of s
Externí odkaz:
http://arxiv.org/abs/2408.07400
Autor:
Musicantov, Evgeny, Zehavi, Sa'ar
We construct pointwise bounds in the weight aspect for Eisenstein series on $X_0(q) = \Gamma_0(q)\setminus SL_2(\mathbb{R})$, with squarefree level $q$, using a Sobolev technique. More specifically, we show that for an Eisenstein series $E$ on $X_0(q
Externí odkaz:
http://arxiv.org/abs/2112.07291
Autor:
Musicantov, Evgeny, Zehavi, Sa'ar
The equation $x^2 + 1 = 0\mod p$ has solutions whenever $p = 2$ or $4n + 1$. A famous theorem of Fermat says that these primes are exactly the ones that can be described as a sum of two squares. That the roots of the former equation are equidistribut
Externí odkaz:
http://arxiv.org/abs/2112.07494
Autor:
Zehavi, Sa'ar
Let f(x) be a primitive irreducible polynomial with integer coefficients of degree greater than one. In 1964, Hooley showed that the sequence of normalized roots u/n, where f(u) = 0(n), ordered in the obvious way, is uniformly distributed modulo one.
Externí odkaz:
http://arxiv.org/abs/2003.13100
Autor:
Rudnick, Zeév, Zehavi, Sa'ar
A conjecture due to Cilleruelo states that for an irreducible polynomial $f$ with integer coefficients of degree $d\geq 2$, the least common multiple $L_f(N)$ of the sequence $f(1), f(2), \dots, f(N)$ has asymptotic growth $\log L_f(N)\sim (d-1)N\log
Externí odkaz:
http://arxiv.org/abs/1902.01102
Conway's 99-graph problem is the second problem amongst the five 1000\$ 2017 open problems set. Four out of the five remain unsolved to this day, including the 99-graph problem. In this paper we quote Conway's definition of the problem and give an al
Externí odkaz:
http://arxiv.org/abs/1707.08047
Akademický článek
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Autor:
Musicantov, Evgeny, Zehavi, Sa'ar
Publikováno v:
Quarterly Journal of Mathematics; Jun2024, Vol. 75 Issue 2, p563-611, 49p
Akademický článek
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Autor:
Musicantov, Evgeny, Zehavi, Sa'ar
Publikováno v:
Quarterly Journal of Mathematics; Jun2023, Vol. 74 Issue 2, p529-591, 63p