Results 41 to 50 of about 197 (145)

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

Parity of ranks of Jacobians of curves

Proceedings of the London Mathematical Society, Volume 131, Issue 3, September 2025.
Abstract We investigate Selmer groups of Jacobians of curves that admit an action of a non‐trivial group of automorphisms, and give applications to the study of the parity of Selmer ranks. Under the Shafarevich–Tate conjecture, we give an expression for the parity of the Mordell–Weil rank of an arbitrary Jacobian in terms of purely local invariants ...
Vladimir Dokchitser, Holly Green, Alexandros Konstantinou, Adam Morgan   +3 more
wiley   +1 more source

Comparing Hecke coefficients of automorphic representations

Transactions of the American Mathematical Society, 2019
We prove a number of unconditional statistical results of the Hecke coefficients for unitary cuspidal representations of GL ( 2
Chiriac, Liubomir, Jorza, Andrei
openaire   +3 more sources

Representations of toral automorphisms

Topology and its Applications, 2016
This survey gives an account of an algebraic construction of symbolic covers and representations of ergodic automorphisms of compact abelian groups, initiated by A.M. Vershik around 1992 for hyperbolic automorphisms of finite-dimensional tori. The key ingredient in this approach, which was subsequently extended to arbitrary expansive automorphisms of ...
openaire   +4 more sources

Weil type representations and automorphic forms [PDF]

Nagoya Mathematical Journal, 1980
During 1934-1936, W. L. Ferrar investigated the relation between summation formulae and Dirichlet series with functional equations, inspired by Voronoi’s works (1904) on summation formula with respect to the numbers of divisors. In [11] A. Weil showed that the automorphic properties of theta series are expressed by generalized Poisson summation ...
openaire   +3 more sources

On the Image of Automorphic Galois Representations

International Mathematics Research Notices
Abstract In this paper, we study extra-twists for automorphic representations of ${\textrm{GL}}_{n}$ and use them to give a precise description of the image of the Galois representations associated with regular algebraic cuspidal automorphic representations of ${\textrm{GL}}_{3}$ over totally real fields.
openaire   +2 more sources