Discrete mean square of the coefficients of symmetric square L-functions on certain sequence of positive numbers
Discrete mean square of the coefficients of symmetric square L-functions on certain sequence of positive numbers
| dc.contributor.author | Sharma, Anubhav | |
| dc.contributor.author | Sankaranarayanan, Ayyadurai | |
| dc.date.accessioned | 2022-03-27T04:08:43Z | |
| dc.date.available | 2022-03-27T04:08:43Z | |
| dc.date.issued | 2022-03-01 | |
| dc.description.abstract | In this paper, we will be concerned with the average behavior of the nth normalized Fourier coefficients of symmetric square L-function (i.e., L(s, sym2f)) over certain sequence of positive integers. Precisely, we prove an asymptotic formula for ∑a2+b2+c2+d2≤x(a,b,c,d)∈Z4λsym2f2(a2+b2+c2+d2),where x≥ x (sufficiently large), and L(s,sym2f):=∑n=1∞λsym2f(n)ns. | |
| dc.identifier.citation | Research in Number Theory. v.8(1) | |
| dc.identifier.uri | 10.1007/s40993-022-00319-8 | |
| dc.identifier.uri | https://link.springer.com/10.1007/s40993-022-00319-8 | |
| dc.identifier.uri | https://dspace.uohyd.ac.in/handle/1/6513 | |
| dc.subject | Cauchy–Schwarz inequality | |
| dc.subject | Holomorphic cusp forms | |
| dc.subject | Principal Dirichlet character | |
| dc.subject | Symmetric square L-function | |
| dc.title | Discrete mean square of the coefficients of symmetric square L-functions on certain sequence of positive numbers | |
| dc.type | Journal. Article | |
| dspace.entity.type |
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