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Exceptional biases in counting primes over function fields - MaRDI portal

Exceptional biases in counting primes over function fields (Q6121845)

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scientific article; zbMATH DE number 7825011

Language	Label	Description	Also known as
English	Exceptional biases in counting primes over function fields	scientific article; zbMATH DE number 7825011

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scholarly article

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Exceptional biases in counting primes over function fields (English)

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10.1112/jlms.12876

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Alexandre Bailleul

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Journal of the London Mathematical Society

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publication date

26 March 2024

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full work available at URL

https://arxiv.org/abs/2302.13665

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Mathematics Subject Classification ID

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zbMATH DE Number

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MaRDI profile type

MaRDI publication profile

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On the distribution of the number of points on algebraic curves in extensions of finite fields

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Chebyshev's bias in dihedral and generalized quaternion Galois groups

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Explicit Kronecker-Weyl theorems and applications to prime number races

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On the positivity set of a linear recurrence sequence

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A Better Bound on the Variance

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Chebyshev’s bias in function fields

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Chebyshev's bias in Galois extensions of global function fields

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Prime number races for elliptic curves over function fields

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Independence of the Zeros of Elliptic Curve L-Functions over Function Fields

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Classical invariants and 2-descent on elliptic curves

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Probabilistic Galois theory of reciprocal polynomials

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Chebyshev's bias for products of irreducible polynomials

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Counterexamples to a Conjecture of Ahmadi and Shparlinski

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Nonvanishing of hyperelliptic zeta functions over finite fields

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Homological stability for Hurwitz spaces and the Cohen-Lenstra conjecture over function fields

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Unconditional Chebyshev biases in number fields

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Inequities in the Shanks–Rényi prime number race: An asymptotic formula for the densities

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Chebyshev's conjecture and the prime number race

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The prime number race and zeros of \(L\)-functions off the critical line

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THE PRIME NUMBER RACE AND ZEROS OF DIRICHLET L-FUNCTIONS OFF THE CRITICAL LINE: PART III

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Prime Number Races

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Big symplectic or orthogonal monodromy modulo \(\ell\)

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Jacobians in isogeny classes of abelian surfaces over finite fields

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The large sieve, monodromy and zeta functions of curves

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The Large Sieve, Monodromy, and Zeta Functions of Algebraic Curves, 2: Independence of the Zeros

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Vanishing of hyperelliptic \(L\)-functions at the central point

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Inclusive prime number races

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Roots of \(L\)-functions of characters over function fields, generic linear independence and biases

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Chebyshev's Bias

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Inequities in the Shanks–Renyi prime number race over function fields

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The Arithmetic of Elliptic Curves

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Abelian varieties over finite fields

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Mathematics(1 entry)

mardi Publication:6121845

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