It's Christmas time and there's lots of Christmas music on the airwaves as well as the internet. There are many jazz Christmas songs that are favorites among fans of the genre. Some examples include: 

"Have Yourself a Merry Little Christmas" - This classic holiday tune has been recorded by numerous artists in a jazz style, including Louis Armstrong, Frank Sinatra, and Ella Fitzgerald. 

"Jingle Bells" - This festive tune is often performed in a swinging, upbeat style by jazz musicians. 

"Santa Claus is Coming to Town" - This upbeat tune is a favorite among jazz musicians, who often perform it in a swinging style with a big band. 

"Winter Wonderland" - This holiday classic is often performed in a smooth, relaxed jazz style by artists like Nat King Cole and Diana Krall. 

"The Christmas Song" - Also known as "Chestnuts Roasting on an Open Fire," this holiday classic has been recorded by numerous artists in a jazz style, including Nat King Cole and Bing Crosby. 

"Let It Snow! Let It Snow! Let It Snow!" - This festive tune is often performed in a swinging, upbeat style by jazz musicians. 

"Frosty the Snowman" - This playful holiday tune is often performed in a light, upbeat style by jazz musicians. 

"Rudolph the Red-Nosed Reindeer" - This classic holiday tune is often performed in a swinging, upbeat style by jazz musicians. 

"White Christmas" - This holiday classic has been recorded by numerous artists in a jazz style, including Bing Crosby and Ella Fitzgerald. 

"Jingle Bell Rock" - This upbeat holiday tune is often performed in a swinging style by jazz musicians.

There are many talented jazz trumpeters who have made significant contributions to the genre, and it is difficult to definitively rank the best. Here is a list of ten highly respected and influential jazz trumpeters, in no particular order: 

Louis Armstrong: Armstrong is a jazz icon and is often considered one of the greatest musicians of all time. His style was characterized by his virtuosic technique and innovative phrasing, and he was a pioneer of scat singing. 

Dizzy Gillespie: Gillespie was a leading figure in the development of bebop and modern jazz. He was known for his virtuosic technique and his ability to play complex melodies with ease. 

Miles Davis: Davis was a pioneer of cool jazz and later went on to play a key role in the development of jazz fusion. He was known for his innovative style and his ability to adapt to new musical trends. 

Chet Baker: Baker was known for his smooth, cool style and his ability to play beautiful ballads. He was also a talented vocalist and is considered one of the most important figures in West Coast jazz. 

Freddie Hubbard: Hubbard was known for his powerful sound and his ability to play fast, complex melodies. He was a major figure in hard bop and played with many of the leading jazz musicians of his time. 

Clifford Brown: Brown was a pioneer of hard bop and is considered one of the greatest trumpet players of all time. He had a brilliant technique and a beautiful tone, and his untimely death at the age of 25 cut short what was sure to be a highly influential career. 

Lee Morgan: Morgan was a key figure in hard bop and played with many of the leading jazz musicians of his time. He was known for his powerful sound and his ability to play fast, complex melodies. 

Wynton Marsalis: Marsalis is a highly respected and influential jazz trumpeter who has played with many of the leading jazz musicians of his time. He is known for his virtuosic technique and his ability to play a wide range of styles. 

Donald Byrd: Byrd was a key figure in hard bop and played with many of the leading jazz musicians of his time. He was known for his powerful sound and his ability to play fast, complex melodies. 

Rick Braun:  Braun is a smooth jazz trumpet, flugelhorn, trombone and keyboards player, vocalist, composer, and record producer. who has gained widespread popularity for his smooth, melodical style and his ability to play a wide range of styles. He has won numerous awards and has played with some of the most famous musicians in the world. 

This is just a small sampling of the many talented jazz trumpet players who have made significant contributions to the genre. There are many other great trumpet players who could also be included on this list.

I believe I'm lucky to have a diverse range of musical influences! Chet Baker, Miles Davis, and Dizzy Gillespie are all known for their contributions to the development of jazz music and are highly respected in the jazz community. Arturo Sandoval is a renowned trumpet player who has been influenced by these musicians and has also made significant contributions to the genre. 

Smooth jazz is a subgenre of jazz that is characterized by its relaxed, melodic sound and often features instrumental music with a focus on saxophones and other brass instruments. Rick Braun and Chuck Mangione are both well-known smooth jazz musicians who have gained popularity for their smooth, harmonious sound. 

As a music lover, you should have strong appreciation for jazz music and the musicians who have shaped the genre. If you're looking for more music to listen to, you might consider checking out tthese musicians as well as other jazz greats such as John Coltrane, Sonny Rollins, and Thelonious Monk, and also contemporary artists who are keeping the jazz tradition alive.