We describe a practical method for finding an L-function without first finding an associ-ated underlying object. The procedure involves using the Euler product, the Ramanujan bound, and the approximate functional equation in a new way. No use is made of the functional equation of twists of the L-function. The method is used to find a large num-ber of Maass forms on SL(3,Z) and to give the first examples of Maass forms of highe
This textbook provides a rigorous analytical treatment of the theory of Maass wave forms. Readers wi...
This paper has two primary goals. The first is to prove that the so-called twisted L-functions of ...
This paper has two primary goals. The first is to prove that the so-called twisted L-functions of ...
We describe a practical method for finding an L-function without first finding an associated underly...
We describe a practical method for finding an L-function without first finding an associated underly...
We present and compare several algorithms for evaluating Jacquet's Whittaker functions for SL(3, Z)....
Abstract. We present and compare several algorithms for evaluating Jacquet’s Whittaker functions for...
Estimates of the form L(j)(s, script A sign) ≪ε,j,script D sign script A signℛεscript A sign in the ...
We study the L-functions associated to Siegel modular forms—equivalently, automorphic representation...
We study the cancellation of zeros between the Riemann zeta function and certain Artin L-functions. ...
Let π be an SL(3,ℤ) Hecke-Maass cusp form satisfying the Ramanujan conjecture and the Sel...
We address the problem of evaluating an L-function when only a small number of its Dirichlet coeffic...
We prove two principal results. Firstly, we characterise Maass forms in terms of functional equation...
As a generalization of the Riemann zeta function, L-function has become one of the central objects i...
As a generalization of the Riemann zeta function, L-function has become one of the central objects i...
This textbook provides a rigorous analytical treatment of the theory of Maass wave forms. Readers wi...
This paper has two primary goals. The first is to prove that the so-called twisted L-functions of ...
This paper has two primary goals. The first is to prove that the so-called twisted L-functions of ...
We describe a practical method for finding an L-function without first finding an associated underly...
We describe a practical method for finding an L-function without first finding an associated underly...
We present and compare several algorithms for evaluating Jacquet's Whittaker functions for SL(3, Z)....
Abstract. We present and compare several algorithms for evaluating Jacquet’s Whittaker functions for...
Estimates of the form L(j)(s, script A sign) ≪ε,j,script D sign script A signℛεscript A sign in the ...
We study the L-functions associated to Siegel modular forms—equivalently, automorphic representation...
We study the cancellation of zeros between the Riemann zeta function and certain Artin L-functions. ...
Let π be an SL(3,ℤ) Hecke-Maass cusp form satisfying the Ramanujan conjecture and the Sel...
We address the problem of evaluating an L-function when only a small number of its Dirichlet coeffic...
We prove two principal results. Firstly, we characterise Maass forms in terms of functional equation...
As a generalization of the Riemann zeta function, L-function has become one of the central objects i...
As a generalization of the Riemann zeta function, L-function has become one of the central objects i...
This textbook provides a rigorous analytical treatment of the theory of Maass wave forms. Readers wi...
This paper has two primary goals. The first is to prove that the so-called twisted L-functions of ...
This paper has two primary goals. The first is to prove that the so-called twisted L-functions of ...