Results 31 to 40 of about 90 (87)

Character sum, reciprocity, and Voronoi formula

Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3797-3823, December 2025.
Abstract We prove a novel four‐variable character sum identity that serves as a twisted, non‐Archimedean analog of Weber's integrals for Bessel functions. Using this identity and ideas from Venkatesh's thesis, we provide a short spectral proof of the Voronoi formulae for classical modular forms with character twists.
Chung‐Hang Kwan, Wing Hong Leung
wiley   +1 more source

A System Reanalysis of the Current Greenhouse Gases Budget of Terrestrial Ecosystems in Russia

Global Biogeochemical Cycles, Volume 39, Issue 10, October 2025.
Abstract This study synthesizes the budgets of three greenhouse gases (GHG, namely CO2, CH4, N2O) for Russia over two decades (2000–2009 and 2010–2019) using bottom‐up and top‐down approaches, as part of the Regional Carbon Cycle Assessment and Processes, Phase 2 (RECCAP2).
Anatoly Shvidenko, Philippe Ciais, Prabir K. Patra, Ana Bastos, Shamil Maksyutov, Ronny Lauerwald, Benjamin Poulter, Dmitry Belikov, Naveen Chandra, Mikhail Glagolev, Irina Terentieva, Dmitry Karelin, Juliya Kurbatova, Irina Kurganova, Anna Romanovskaya, Vladimir Korotkov, Liudmila Mukhortova, Anatoly Prokushkin, Eric Gustafson, Florian Kraxner, Vadim Mamkin, Natalia Lukina, Andrey Krasovskiy, Eugene Vaganov, Dmitry Schepaschenko   +24 more
wiley   +1 more source

Soft bounds for local triple products and the subconvexity‐QUE implication for GL2$\mathrm{GL}_2$

Mathematika, Volume 71, Issue 4, October 2025.
Abstract We give a soft proof of a uniform upper bound for the local factors in the triple product formula, sufficient for deducing effective and general forms of quantum unique ergodicity (QUE) from subconvexity.
Paul D. Nelson
wiley   +1 more source

The conjugacy problem for ascending HNN‐extensions of free groups

Proceedings of the London Mathematical Society, Volume 131, Issue 4, October 2025.
Abstract We give an algorithm to solve the Conjugacy Problem for ascending HNN‐extensions of free groups. To do this, we give algorithms to solve certain problems on dynamics of free group endomorphisms.
Alan D. Logan
wiley   +1 more source

Correlations of the squares of the Riemann zeta function on the critical line

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract We compute the average of a product of two shifted squares of the Riemann zeta function on the critical line with shifts up to size T3/2−ε$T^{3/2-\varepsilon }$. We give an explicit expression for such an average and derive an approximate spectral expansion for the error term similar to Motohashi's.
Valeriya Kovaleva
wiley   +1 more source

p-adic L-functions and the Geometry of Hida Families

, 2016
A major theme in the theory of $p$-adic deformations of automorphic forms is how $p$-adic $L$-functions over eigenvarieties relate to the geometry of these eigenvarieties.
Kramer-Miller, Joseph
core  

Invariants of automorphic lie algebras

Automorphic Lie Algebras arise in the context of reduction groups introduced in the late 1970s [35] in the field of integrable systems. They are subalgebras of Lie algebras over a ring of rational functions, denied by invariance under the action of a ...
Knibbeler, Vincent
core  

On <i>p</i>-adic <i>L</i>-functions for symplectic representations of GL ( N ) over number fields. [PDF]

Res Math Sci
Williams C.
europepmc   +1 more source

<i>P</i>-adic <i>L</i>-functions for GL ( 3 ). [PDF]

Math Ann
Loeffler D, Williams C.
europepmc   +1 more source

Schubert cells and Whittaker functionals for GL ( r , R ) part I: Combinatorics. [PDF]

Manuscr Math
Kim D.
europepmc   +1 more source