6 papers
Logarithmic moments of the Rogers-Ramanujan continued fraction and odd zeta values
K. Srinivasa Raghava
We study how the two cusp expansions of the Rogers-Ramanujan continued fraction control its ordinary and logarithmic Mellin moments. Ramanujan's factorizations express the logarith…
Root-of-Unity Sections of Dilated Euler-Product Quotients
K. Srinivasa Raghava
We study root-of-unity sections of quotients formed from dilated Euler products. At the boundary point \(q=1\), odd sections tend to nonzero cyclotomic constants, whereas even sect…
Exact Moments and CM Periods of Reciprocal Quadratic Mellin Integrals
K. Srinivasa Raghava
We study exact moments and algebraic sampling of a reciprocal quadratic Mellin integral. A finite elementary formula determines every nonzero rational-weight first moment with spec…
A Ramanujan Pell K3 Surface and Cube Representations
K. Srinivasa Raghava
A negative Pell equation produces positive integers with . We classify all positive solutions satisfying the natural linear constraints of th…
Walsh eta-units at squarefree level-integral structure and Fricke values
K. Srinivasa Raghava
For squarefree , we determine the quotient of the principal cuspidal lattice of by the sum of its primitive Atkin-Lehner character sublattices. Its invariant factors…
Arcsine kernels, inverse-binomial harmonic sums, and classical hypergeometric transformations
K. Srinivasa Raghava
We study inverse-central-binomial series with finite reciprocal-square factors and harmonic weights involving , , and . An arcsine integral gives explicit odd-zet…