Central values and values at the edge of the critical strip of symmetric power L-functions and Hecke eigenvalues Export

@misc{citeulike:849168, abstract = {We compute the moments of L-functions of symmetric powers of modular forms at the edge of the critical strip, twisted by the central value of the L-functions of modular forms. We show that, in the case of even powers, it is equivalent to twist by the value at the edge of the critical strip of the symmetric square L-functions. We deduce information on the size of symmetric power L-functions at the edge of the critical strip under conditions. In a second part, we study the distribution of small and large Hecke eigenvalues. We deduce information on the simultaneous extremality conditions on the values of L-functions of symmetric powers of modular forms at the edge of the critical strip.}, archivePrefix = {arXiv}, author = {Royer, Emmanuel and Wu, Jie}, citeulike-article-id = {849168}, citeulike-linkout-0 = {http://arxiv.org/abs/math.NT/0609227}, citeulike-linkout-1 = {http://arxiv.org/pdf/math.NT/0609227}, day = {8}, eprint = {math.NT/0609227}, keywords = {numbertheory}, month = {Sep}, posted-at = {2006-09-18 22:46:42}, priority = {2}, title = {Central values and values at the edge of the critical strip of symmetric power L-functions and Hecke eigenvalues}, url = {http://arxiv.org/abs/math.NT/0609227}, year = {2006} }

TY - ELEC ID - citeulike:849168 L3 - citeulike-article-id:849168 N2 - We compute the moments of L-functions of symmetric powers of modular forms at the edge of the critical strip, twisted by the central value of the L-functions of modular forms. We show that, in the case of even powers, it is equivalent to twist by the value at the edge of the critical strip of the symmetric square L-functions. We deduce information on the size of symmetric power L-functions at the edge of the critical strip under conditions. In a second part, we study the distribution of small and large Hecke eigenvalues. We deduce information on the simultaneous extremality conditions on the values of L-functions of symmetric powers of modular forms at the edge of the critical strip. TI - Central values and values at the edge of the critical strip of symmetric power L-functions and Hecke eigenvalues KW - numbertheory AU - Royer, Emmanuel AU - Wu, Jie PY - 2006/Sep/08/ UR - http://arxiv.org/abs/math.NT/0609227 ER -