Results 231 to 240 of about 3,604,485 (260)
Some of the next articles are maybe not open access.
Acta Arithmetica, 2022
Let \(K/\mathbb Q\) be a Galois extension with Galois group \(G\) and assume that for some prime \(p\) there is a normal abelian group \(H\subset G\) of index \(p\), having a character \(\psi\) whose lift \(\psi^G\) to \(G\) is irreducible. The authors show that there exists a normal abelian subgroup \(H_1\ne H\) of \(G\) having an irreducible ...
Katayama, Yuta, Kida, Masanari
openaire +2 more sources
Let \(K/\mathbb Q\) be a Galois extension with Galois group \(G\) and assume that for some prime \(p\) there is a normal abelian group \(H\subset G\) of index \(p\), having a character \(\psi\) whose lift \(\psi^G\) to \(G\) is irreducible. The authors show that there exists a normal abelian subgroup \(H_1\ne H\) of \(G\) having an irreducible ...
Katayama, Yuta, Kida, Masanari
openaire +2 more sources
2019
This chapter turns to L-functions. It first covers motivic and cohomological L-functions. There is a well-known conjectural dictionary between cohomological cuspidal automorphic representations of GLn and pure rank n motives. The chapter briefly reviews this dictionary while recasting it in the context of strongly inner Hecke summands on the one hand ...
Günter Harder, A. Raghuram
+4 more sources
This chapter turns to L-functions. It first covers motivic and cohomological L-functions. There is a well-known conjectural dictionary between cohomological cuspidal automorphic representations of GLn and pure rank n motives. The chapter briefly reviews this dictionary while recasting it in the context of strongly inner Hecke summands on the one hand ...
Günter Harder, A. Raghuram
+4 more sources
Moment L -functions, partial L -functions and partial exponential sums
Mathematische Annalen, 2004Let \(\mathbb F_q\) be a finite field of characteristic \(p>0\) with \(q\) elements. Let \(f_0:X_0\to Y_0\) be an \(\mathbb F_q\)-morphism of separated schemes over \(\mathbb F_q\) of finite type. For any \(d,k>0\), let \(N_(f_0,d)= \sum_{y\in Y_0(\mathbb F_{q^k})} \#f_0^{-1}(y) (\mathbb F_{q^{kd}})\) and call it the \(d\)th moment of the morphism ...
Fu, Lei, Wan, Daqing
openaire +1 more source
1998
This is a very interesting survey of recent developments of \(L\)-functions theory, having as basic theme the role of families of \(L\)-functions in the study of a given \(L\)-function. The author starts with a brief review of the analytic properties of automorphic \(L\)-functions \(L(s,\pi)\) and of the two central analytic problems in the theory, the
openaire +2 more sources
This is a very interesting survey of recent developments of \(L\)-functions theory, having as basic theme the role of families of \(L\)-functions in the study of a given \(L\)-function. The author starts with a brief review of the analytic properties of automorphic \(L\)-functions \(L(s,\pi)\) and of the two central analytic problems in the theory, the
openaire +2 more sources
1993
Just as we studied the distribution of prime numbers in the sequence of natural numbers, we can pose and solve the problem of the distribution of prime numbers in an arithmetic progression with difference k≥ 1 and initial term l, where 1≤ l≤ k and(l,k)=1.
Anatolij A. Karatsuba +1 more
openaire +1 more source
Just as we studied the distribution of prime numbers in the sequence of natural numbers, we can pose and solve the problem of the distribution of prime numbers in an arithmetic progression with difference k≥ 1 and initial term l, where 1≤ l≤ k and(l,k)=1.
Anatolij A. Karatsuba +1 more
openaire +1 more source