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19922026
most citedObservation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC

10.9k citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2018 · math.NTShow all

10 papers · 2 filters

math.NT2018★ 2 cited

Zeta functions connecting multiple zeta values and poly-Bernoulli numbers

Masanobu Kaneko, Hirofumi Tsumura

We first review our previous works of Arakawa and the authors on two, closely related single-variable zeta functions. Their special values at positive and negative integer argument…

math.NT2018★ 3 cited

Explicit inner product formulas and Bessel period formulas for HST lifts

Kenichi Namikawa

We explicitly give an inner product formula and a Bessel period formula for theta series on GSp(4), which was studied by Harris, Soudry and Taylor. As a consequence, we prove a non…

math.NT2018

The number of linear factors of supersingular polynomials and sporadic simple groups

Tomoaki Nakaya

The set of prime numbers such that the supersingular -invariants in characteristic are all contained in the prime field is finite. And it is well known that this set of…

math.NT2018

Weighted sum formula for multiple harmonic sums modulo primes

Minoru Hirose, Hideki Murahara, Shingo Saito

In this paper we prove a weighted sum formula for multiple harmonic sums modulo primes, thereby proving a weighted sum formula for finite multiple zeta values. Our proof utilizes d…

math.NT2018

Polynomial generalization of the regularization theorem for multiple zeta values

Minoru Hirose, Hideki Murahara, Shingo Saito

Ihara, Kaneko, and Zagier defined two regularizations of multiple zeta values and proved the regularization theorem that describes the relation between those regularizations. We sh…

math.NT2018★ 3 cited

Ohno type relations for classical and finite multiple zeta-star values

Minoru Hirose, Kohtaro Imatomi, Hideki Murahara +1

Ohno's relation is a generalization of both the sum formula and the duality formula for multiple zeta values. Oyama gave a similar relation for finite multiple zeta values, defined…

math.NT2018★ 3 cited

An algebraic characterization of the Kronecker function

Nils Matthes

We characterize the generating series of extended period polynomials of normalized Hecke eigenforms for studied by Zagier in terms of the period r…

math.NT2018

On Ecalle's and Brown's polar solutions to the double shuffle equations modulo products

Nils Matthes, Koji Tasaka

Two explicit sets of solutions to the double shuffle equations modulo products were introduced by Ecalle and Brown respectively. We place the two solutions into the same algebraic…

math.NT2018★ 3 cited

Restricted sum formula for finite and symmetric multiple zeta values

Hideki Murahara, Shingo Saito

The sum formula for finite and symmetric multiple zeta values, established by Wakabayashi and the authors, implies that if the weight and depth are fixed and the specified componen…

math.NT2018★ 4 cited

Algebraic differential formulas for the shuffle, stuffle and duality relations of iterated integrals

Minoru Hirose, Nobuo Sato

In this paper we prove certain algebraic identities, which correspond to differentiations of the shuffle relation, the stuffle relation, and the relations which arise from Möbius t…